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Linked References

1. P. W. Anderson, The Theory of Superconductivity in the High-T_c Cuprates, Princeton University Press, Princeton, NJ, USA, 1997.
2. A. S. Alexandrov, “Bose-Einstein condensation of strongly correlated electrons and phonons in cuprate superconductors,” Journal of Physics: Condensed Matter, vol. 19, no. 12, Article ID 125216, 2007. View at Publisher · View at Google Scholar · View at Scopus
3. A. S. Alexandrov, “Bipolaren anisotropic flat bands, Hall mobility edge, and metal-semiconductor duality of overdoped high-$T_c$ oxides,” Physical Review B, vol. 53, no. 5, pp. 2863–2869, 1996. View at Scopus
4. O. Gunnarsson and O. Rösch, “Interplay between electron-phonon and Coulomb interactions in cuprates,” Journal of Physics: Condensed Matter, vol. 20, no. 4, Article ID 043201, 2008. View at Publisher · View at Google Scholar · View at Scopus
5. A. Damascelli, Z. Hussain, and Z.-X. Shen, “Angle-resolved photoemission studies of the cuprate superconductors,” Reviews of Modern Physics, vol. 75, no. 2, pp. 473–541, 2003. View at Publisher · View at Google Scholar · View at Scopus
6. T. Xiang and J. M. Wheatley, “Quasiparticle energy dispersion in doped two-dimensional quantum antiferromagnets,” Physical Review B, vol. 54, no. 18, pp. R12653–R12656, 1996. View at Scopus
7. V. I. Belinicher, A. L. Chernyshev, and V. A. Shubin, “Generalized $t$-$t^{\prime }$-J model: parameters and single-particle spectrum for electrons and holes in copper oxides,” Physical Review B, vol. 53, no. 1, pp. 335–342, 1996. View at Scopus
8. V. I. Belinicher, A. L. Chernyshev, and V. A. Shubin, “Single-hole dispersion relation for the real ${\text{CuO}}_2$ plane,” Physical Review B, vol. 54, no. 21, pp. 14914–14917, 1996. View at Scopus
9. T. M. Rice and F. C. Zhang, “Frequency-dependent conductivity from carriers in Mott insulators,” Physical Review B, vol. 39, no. 1, pp. 815–818, 1989. View at Publisher · View at Google Scholar
10. W. Stephan and P. Horsch, “Optical properties of one- and two-dimensional Hubbard and t-J models,” Physical Review B, vol. 42, no. 13, pp. 8736–8739, 1990. View at Publisher · View at Google Scholar
11. D. Poilblanc and E. Dagotto, “Optical mass in the t-J model,” Physical Review B, vol. 44, no. 1, pp. 466–469, 1991. View at Publisher · View at Google Scholar · View at Scopus
12. D. Poilblanc, “Twisted boundary conditions in cluster calculations of the optical conductivity in two-dimensional lattice models,” Physical Review B, vol. 44, no. 17, pp. 9562–9581, 1991. View at Publisher · View at Google Scholar · View at Scopus
13. E. Dagotto, A. Moreo, F. Ortolani, D. Poilblanc, and J. Riera, “Static and dynamical properties of doped Hubbard clusters,” Physical Review B, vol. 45, no. 18, pp. 10741–10760, 1992. View at Publisher · View at Google Scholar
14. J.-I. Igarashi and P. Fulde, “Drude weight and optical conductivity of doped antiferromagnets,” Physical Review B, vol. 48, no. 17, pp. 12713–12722, 1993. View at Publisher · View at Google Scholar
15. J. Jaklič and P. Prelovšek, “Finite-temperature conductivity in the planar t-J model,” Physical Review B, vol. 50, no. 10, pp. 7129–7132, 1994. View at Publisher · View at Google Scholar
16. G. Jackeli and N. M. Plakida, “Charge dynamics and optical conductivity of the t-J model,” Physical Review B, vol. 60, no. 8, pp. 5266–5275, 1999. View at Scopus
17. M. Moraghebi, S. Yunoki, and A. Moreo, “Optical conductivity and resistivity of a hole-doped spin-fermion model for cuprates,” Physical Review B, vol. 66, no. 21, Article ID 214522, 5 pages, 2002. View at Scopus
18. A. M. Tikofsky, R. B. Laughlin, and Z. Zou, “Computation of the optical conductivity of the t-J model using anyon techniques,” Physical Review Letters, vol. 69, no. 25, pp. 3670–3673, 1992. View at Publisher · View at Google Scholar
19. N. M. Plakida, “Optical conductivity in the t-J model,” Zeitschrift fur Physik B, vol. 103, no. 3-4, pp. 383–390, 1997. View at Scopus
20. R. Eder, P. Wróbel, and Y. Ohta, “Optical conductivity of strongly correlated electron systems,” Physical Review B, vol. 54, no. 16, pp. R11034–R11037, 1996. View at Scopus
21. B. Kyung and S. I. Mukhin, “Dynamics of a small density of holes in a two-dimensional quantum antiferromagnet,” Physical Review B, vol. 55, no. 6, pp. 3886–3893, 1997. View at Scopus
22. E. Dagotto, “Correlated electrons in high-temperature superconductors,” Reviews of Modern Physics, vol. 66, no. 3, pp. 763–840, 1994. View at Publisher · View at Google Scholar
23. N. D. Basov and T. Timusk, “Electrodynamics of high-$T_C$ superconductors,” Reviews of Modern Physics, vol. 77, no. 2, pp. 721–729, 2005. View at Publisher · View at Google Scholar
24. M. A. Kastner, R. J. Birgeneau, G. Shirane, and Y. Endoh, “Magnetic, transport, and optical properties of monolayer copper oxides,” Reviews of Modern Physics, vol. 70, no. 3, pp. 897–928, 1998. View at Publisher · View at Google Scholar · View at Scopus
25. Y. S. Lee, K. Segawa, Z. Q. Li, et al., “Electrodynamics of the nodal metal state in weakly doped high-$T_C$ cuprates,” Physical Review B, vol. 72, no. 5, Article ID 054529, 2005. View at Publisher · View at Google Scholar · View at Scopus
26. S. L. Cooper, D. Reznik, A. Kotz, et al., “Optical studies of the a-, b-, and c-axis charge dynamics in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_{6+X}$,” Physical Review B, vol. 47, no. 13, pp. 8233–8248, 1993. View at Publisher · View at Google Scholar
27. G. A. Thomas, D. H. Rapkine, S. L. Cooper, et al., “Optical excitations of a few charges in cuprates,” Physical Review B, vol. 45, no. 5, pp. 2474–2479, 1992. View at Publisher · View at Google Scholar
28. S. Uchida, T. Ido, H. Takagi, T. Arima, Y. Tokura, and S. Tajima, “Optical spectra of ${\text{La}}_{2-X}{\text{Sr}}_X{\text{CuO}}_4$: effect of carrier doping on the electronic structure of the ${\text{CuO}}_2$ plane,” Physical Review B, vol. 43, no. 10, pp. 7942–7954, 1991. View at Publisher · View at Google Scholar
29. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light, North Holland, New York, NY, USA, 1996.
30. D. U. Fluckiger, “Analytic methods in the determination of optical properties by spectral ellipsometry,” Journal of the Optical Society of America A, vol. 15, no. 8, pp. 2228–2232, 1998. View at Publisher · View at Google Scholar · View at Scopus
31. N. V. Prokof'ev, B. V. Svistunov, and I. S. Tupitsyn, “Exact, complete, and universal continuous-time worldline Monte-Carlo approach to the statistics of discrete quantum systems,” Zhurnal Eksperimental'noj i Teoreticheskoj Fiziki, vol. 114, no. 2, pp. 570–590, 1998. View at Scopus
32. N. V. Prokof'ev, B. V. Svistunov, and I. S. Tupitsyn, “Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems,” Journal of Experimental and Theoretical Physics, vol. 87, no. 2, pp. 310–321, 1998. View at Publisher · View at Google Scholar · View at Scopus
33. N. V. Prokof'ev and B. V. Svistunov, “Polaron problem by diagrammatic quantum Monte Carlo,” Physical Review Letters, vol. 81, no. 12, pp. 2514–2517, 1998. View at Publisher · View at Google Scholar · View at Scopus
34. A. S. Mishchenko, N. V. Prokof'ev, A. Sakamoto, and B. V. Svistunov, “Diagrammatic quantum Monte Carlo study of the Fröhlich polaron,” Physical Review B, vol. 62, no. 10, pp. 6317–6336, 2000. View at Publisher · View at Google Scholar · View at Scopus
35. A. S. Mishchenko and N. Nagaosa, “Quasidegenerate self-trapping in one-dimensional charge transfer exciton,” Physical Review Letters, vol. 86, no. 20, pp. 4624–4627, 2001. View at Publisher · View at Google Scholar
36. A. S. Mishchenko, N. V. Prokof'ev, B. V. Svistunov, and A. Sakamoto, “Comprehensive study of Fröhlich polaron,” International Journal of Modern Physics B, vol. 15, no. 28–30, pp. 3940–3943, 2001. View at Scopus
37. A. S. Mishchenko, N. V. Prokof'ev, and B. V. Svistunov, “Single-hole spectral function and spin-charge separation in the t-J model,” Physical Review B, vol. 64, no. 3, Article ID 033101, 4 pages, 2001. View at Scopus
38. E. A. Burovski, A. S. Mishchenko, N. V. Prokof'ev, and B. V. Svistunov, “Diagrammatic quantum Monte Carlo for two-body problems: applied to excitons,” Physical Review Letters, vol. 87, no. 18, Article ID 186402, 4 pages, 2001. View at Publisher · View at Google Scholar · View at Scopus
39. A. S. Mishchenko, N. Nagaosa, N. V. Prokof'ev, B. V. Svistunov, and E. A. Burovski, “Properties of exciton and exciton-polaron: exact numeric solution,” Nonlinear Optics, vol. 29, p. 257, 2002.
40. A. S. Mishchenko, N. Nagaosa, N. V. Prokof'ev, A. Sakamoto, and B. V. Svistunov, “Self-trapping of polarons in the Rashba-Pekar model,” Physical Review B, vol. 66, no. 2, Article ID 020301, 4 pages, 2002. View at Scopus
41. A. S. Mishchenko, N. Nagaosa, N. V. Prokof'ev, A. Sakamoto, and B. V. Svistunov, “Optical conductivity of the Fröhlich polaron,” Physical Review Letters, vol. 91, no. 23, Article ID 236401, 4 pages, 2003. View at Publisher · View at Google Scholar · View at Scopus
42. A. S. Mishchenko and N. Nagaosa, “Electron-phonon coupling and a polaron in the t-J model: from the weak to the strong coupling regime,” Physical Review Letters, vol. 93, no. 3, Article ID 036402, 2004. View at Publisher · View at Google Scholar
43. A. S. Mishchenko, “Diagrammatic Monte Carlo method as applied to the polaron problems,” Uspekhi Fizicheskikh Nauk, vol. 175, no. 9, p. 925, 2005. View at Publisher · View at Google Scholar
44. A. S. Mishchenko, “Diagrammatic Monte Carlo method as applied to the polaron problems,” Physics-Uspekhi, vol. 48, no. 9, pp. 887–902, 2005. View at Publisher · View at Google Scholar
45. A. S. Mishchenko and N. Nagaosa, “Theory of excitation spectra of electron-phonon coupled systems,” Journal of the Physical Society of Japan, vol. 75, no. 1, Article ID 011003, 2006. View at Publisher · View at Google Scholar
46. A. S. Mishchenko and N. Nagaosa, “Numerical study of the isotope effect in underdoped high-temperature superconductors: calculation of the angle-resolved photoemission spectra,” Physical Review B, vol. 73, no. 9, Article ID 092502, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
47. A. S. Mishchenko and N. Nagaosa, “ARPES spectra of polaron in the t-J model,” Journal of Physics and Chemistry of Solids, vol. 67, no. 1–3, pp. 259–261, 2006. View at Publisher · View at Google Scholar · View at Scopus
48. G. De Filippis, V. Cataudella, A. S. Mishchenko, C. A. Perroni, and J. T. Devreese, “Validity of the Franck-Condon principle in the optical spectroscopy: optical conductivity of the Fröhlich polaron,” Physical Review Letters, vol. 96, no. 13, Article ID 136405, 4 pages, 2006. View at Publisher · View at Google Scholar
49. G. De Filippis, V. Cataudella, A. S. Mishchenko, and N. Nagaosa, “Nonlocal composite spin-lattice polarons in high temperature superconductors,” Physical Review Letters, vol. 99, no. 14, Article ID 146405, 2007. View at Publisher · View at Google Scholar
50. V. Cataudella, G. De Filippis, A. S. Mishchenko, and N. Nagaosa, “Temperature dependence of the angle resolved photoemission spectra in the undoped cuprates: self-consistent approach to the t-J holstein model,” Physical Review Letters, vol. 99, no. 22, Article ID 226402, 2007. View at Publisher · View at Google Scholar
51. A. S. Mishchenko, N. Nagaosa, Z.-X. Shen, et al., “Charge dynamics of doped holes in high $T_c$ cuprate superconductors: a clue from optical conductivity,” Physical Review Letters, vol. 100, no. 16, Article ID 166401, 2008. View at Publisher · View at Google Scholar
52. E. Burovski, H. Fehske, and A. S. Mishchenko, “Exact treatment of exciton-polaron formation by diagrammatic Monte Carlo simulations,” Physical Review Letters, vol. 101, no. 11, Article ID 116403, 2008. View at Publisher · View at Google Scholar · View at Scopus
53. A. S. Mishchenko, N. Nagaosa, A. Alvermann, et al., “Localization-delocalization transition of a polaron near an impurity,” Physical Review B, vol. 79, no. 18, Article ID 180301, 2009. View at Publisher · View at Google Scholar · View at Scopus
54. A. S. Mishchenko, “Polarons by exact Diagrammatic Monte Carlo and Stochastic optimization method,” in Materials and Systems with Reduced Dimensionalities, G. Iadonisi, G. De Filippis, and J. Ranninger, Eds., p. 177, IOS Press, Amsterdam, The Netherlands, 2006.
55. A. S. Mishchenko and N. Nagaosa, “Spectroscopic properties of polarons in strongly correlated systems by exact diagrammatic Monte Carlo method,” in Polarons in Complex Matter, A. S. Alexandrov, Ed., Springer Series in Material Science, pp. 503–544, Springer, New York, NY, USA, 2007. View at Publisher · View at Google Scholar
56. A. S. Mishchenko, “Diagrammatic Monte Carlo and stochastic optimization methods for complex composite objects in macroscopic baths,” in Computational Many-Particle Physics, H. Fehske, R. Schneider, and A. Weisse, Eds., vol. 739 of Lecture Notes in Physics, pp. 367–395, Springer, New York, NY, USA, 2008. View at Publisher · View at Google Scholar
57. B. O. Wells, Z.-X. Shen, A. Matsuura, et al., “E versus k relations and many body effects in the model insulating copper oxide ${\text{Sr}}_2{\text{CuO}}_2{\text{Cl}}_2$,” Physical Review Letters, vol. 74, no. 6, pp. 964–967, 1995. View at Publisher · View at Google Scholar
58. O. Rösch and O. Gunnarsson, “Dispersion of incoherent spectral features in systems with strong electron-phonon coupling,” European Physical Journal B, vol. 43, no. 1, pp. 11–18, 2005. View at Publisher · View at Google Scholar
59. K. M. Shen, F. Ronning, D. E. Lu, et al., “Missing quasiparticles and the chemical potential puzzle in the doping evolution of the cuprate superconductors,” Physical Review Letters, vol. 93, no. 26, Article ID 267002, 2004. View at Publisher · View at Google Scholar
60. C. Kim, F. Ronning, A. Damascelli, et al., “Anomalous temperature dependence in the photoemission spectral function of cuprates,” Physical Review B, vol. 65, no. 17, Article ID 174516, 7 pages, 2002.
61. O. Rösch and O. Gunnarsson, “Electron-phonon interaction in the t-J model,” Physical Review Letters, vol. 92, no. 14, Article ID 146403, 2004. View at Publisher · View at Google Scholar
62. O. Rösch, O. Gunnarsson, X. J. Zhou, et al., “Polaronic behavior of undoped high-$T_c$ cuprate superconductors from angle-resolved photoemission spectra,” Physical Review Letters, vol. 95, no. 22, Article ID 227002, 4 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
63. S. Kar and E. Manousakis, “Finite-temperature spectral function of a hole in a quantum antiferromagnet and the role of phonons,” Physical Review B, vol. 78, no. 6, Article ID 064508, 2008. View at Publisher · View at Google Scholar · View at Scopus
64. A. Lanzara, P. V. Bogdanov, X. J. Zhou, et al., “Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors,” Nature, vol. 412, no. 6846, pp. 510–514, 2001. View at Publisher · View at Google Scholar · View at PubMed
65. V. J. Emery, “Theory of high-$T_c$ superconductivity in oxides,” Physical Review Letters, vol. 58, no. 26, pp. 2794–2797, 1987. View at Publisher · View at Google Scholar
66. F. C. Zhang and T. M. Rice, “Effective Hamiltonian for the superconducting Cu oxides,” Physical Review B, vol. 37, no. 7, pp. 3759–3761, 1988. View at Publisher · View at Google Scholar
67. C. L. Kane, P. A. Lee, and N. Read, “Motion of a single hole in a quantum antiferromagnet,” Physical Review B, vol. 39, no. 10, pp. 6880–6897, 1989. View at Publisher · View at Google Scholar
68. Z. Liu and E. Manousakis, “Dynamical properties of a hole in a Heisenberg antiferromagnet,” Physical Review B, vol. 45, no. 5, pp. 2425–2437, 1992. View at Publisher · View at Google Scholar
69. Z. Liu and E. Manousakis, “Spectral function of a hole in the t-J model,” Physical Review B, vol. 44, no. 5, pp. 2414–2417, 1991. View at Publisher · View at Google Scholar
70. E. Manousakis, “The spin-Heisenberg antiferromagnet on a square lattice and its application to the cuprous oxides,” Reviews of Modern Physics, vol. 63, no. 1, pp. 1–62, 1991. View at Publisher · View at Google Scholar
71. F. Marsiglio, A. E. Ruckenstein, S. Schmitt-Rink, and C. M. Varma, “Spectral function of a single hole in a two-dimensional quantum antiferromagnet,” Physical Review B, vol. 43, no. 13, Article ID 10882, 1991. View at Publisher · View at Google Scholar
72. B. Kyung and R. A. Ferrell, “Quasiparticle dispersion of the insulating copper oxide ${\text{Sr}}_2{\text{CuO}}_2{\text{Cl}}_2$ by employing vertical and horizontal double hoppings,” Physical Review B, vol. 54, no. 14, pp. 10125–10130, 1996. View at Scopus
73. T. K. Lee and C. T. Shih, “Dispersion of a single hole in the t-J model,” Physical Review B, vol. 55, no. 9, pp. 5983–5987, 1997. View at Scopus
74. T. Tohyama and S. Maekawa, “Role of next-nearest-neighbor hopping in the $t\text{-}{t}^{\prime }$-J model,” Physical Review B, vol. 49, no. 5, pp. 3596–3599, 1994. View at Publisher · View at Google Scholar
75. T. K. Lee, C.-M. Ho, and N. Nagaosa, “Theory for slightly doped antiferromagnetic Mott insulators,” Physical Review Letters, vol. 90, no. 6, Article ID 067001, 4 pages, 2003.
76. T. Tohyama, “Asymmetry of the electronic states in hole- and electron-doped cuprates: exact diagonalization study of the $t\text{-}{t}^{\prime }\text{-}{t}^{″}$-J model,” Physical Review B, vol. 70, no. 17, Article ID 174517, 12 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
77. T. Tohyama and S. Maekawa, “Electronic states in the antiferromagnetic phase of electron-doped high-$T_c$ cuprates,” Physical Review B, vol. 64, no. 21, Article ID 212505, 4 pages, 2001. View at Scopus
78. T. Tohyama and S. Maekawa, “Doping dependence of chemical potential and entropy in hole- and electron-doped high-$T_c$ cuprates,” Physical Review B, vol. 67, no. 9, Article ID 092509, 3 pages, 2003. View at Scopus
79. C. Kim, P. J. White, Z.-X. Shen, et al., “Systematics of the photoemission spectral function of cuprates: insulators and hole- and electron-doped superconductors,” Physical Review Letters, vol. 80, no. 19, pp. 4245–4248, 1998. View at Publisher · View at Google Scholar · View at Scopus
80. Yu. A. Izyumov, “The t-J model for strongly correlated electrons and high-$T_c$ supercondutors,” Uspekhi Fizicheskikh Nauk, vol. 167, no. 5, pp. 496–497, 1997. View at Scopus
81. Yu. A. Izyumov, “Strongly correlated electrons: the t-J model,” Physics-Uspekhi, vol. 40, no. 5, pp. 445–476, 1997. View at Scopus
82. T. P. Devereaux, A. Virosztek, and A. Zawadowski, “Charge-transfer fluctuation, d-wave superconductivity, and the $B_{1g}$ Raman phonon in cuprates,” Physical Review B, vol. 51, no. 1, pp. 505–514, 1995. View at Publisher · View at Google Scholar · View at Scopus
83. G. Khaliullin and P. Horsch, “Theory of the density fluctuation spectrum of strongly correlated electrons,” Physical Review B, vol. 54, no. 14, pp. R9600–R9603, 1996. View at Scopus
84. G. Khaliullin and P. Horsch, “Density fluctuations and phonon renormalization in the t-J model,” Physica C, vol. 282–287, part 3, pp. 1751–1752, 1997. View at Scopus
85. M. Opel, R. Hackl, T. P. Devereaux, et al., “Physical origin of the buckling in ${\text{CuO}}_2$: electron-phonon coupling and Raman spectra,” Physical Review B, vol. 60, no. 13, pp. 9836–9844, 1999. View at Scopus
86. T. P. Devereaux, A. Virosztek, and A. Zawadowski, “Neutron scattering and the $B_{1g}$ phonon in the cuprates,” Physical Review B, vol. 59, no. 22, pp. 14618–14623, 1999. View at Scopus
87. P. Horsch, G. Khaliullin, and V. Oudovenko, “Density response of the t-J model and renormalization of breathing and half-breathing phonon modes: a slave-fermion calculation,” Physica C, vol. 341–348, part 1, pp. 117–120, 2000. View at Scopus
88. S. Ishihara and N. Nagaosa, “Interplay of electron-phonon interaction and electron correlation in high-temperature superconductivity,” Physical Review B, vol. 69, no. 14, Article ID 144520, 13 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
89. O. Rösch and O. Gunnarsson, “Electron-phonon interaction in the three-band model,” Physical Review B, vol. 70, no. 22, Article ID 224518, 7 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
90. T. P. Devereaux, T. Cuk, Z.-X. Shen, and N. Nagaosa, “Anisotropic electron-phonon interaction in the cuprates,” Physical Review Letters, vol. 93, no. 11, Article ID 117004, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
91. T. Cuk, F. Baumberger, D. H. Lu, et al., “Coupling of the $B_{1g}$ Phonon to the antinodal electronic states of ${\text{Bi}}_2{\text{Sr}}_2{\text{Ca}}_{\text{0}\text{.92}}{\text{Y}}_{\text{0}\text{.08}}{\text{Cu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 93, no. 11, Article ID 117003, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
92. P. Horsch and G. Khaliullin, “Doping dependence of density response and bond-stretching phonons in cuprates,” Physica B, vol. 359–361, pp. 620–622, 2005. View at Publisher · View at Google Scholar · View at Scopus
93. N. Bulut and D. J. Scalapino, “$d_{x^2-y^2}$ symmetry and the pairing mechanism,” Physical Review B, vol. 54, no. 21, pp. 14971–14973, 1996. View at Scopus
94. L. Pintschovius and W. Reichardt, “Neutron scattering in layered copper-oxide superconductors,” in Physics and Chemistry of Materials with Low-Dimensional Structures, Vol. 20, A. Furrer, Ed., p. 165, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998.
95. L. Pintschovius, “Electron-phonon coupling effects explored by inelastic neutron scattering,” Physica Status Solidi B, vol. 242, no. 1, pp. 30–50, 2005. View at Publisher · View at Google Scholar · View at Scopus
96. W. Meevasana, T. P. Devereaux, N. Nagaosa, Z.-X. Shen, and J. Zaanen, “Calculation of overdamped $c$-axis charge dynamics and the coupling to polar phonons in cuprate superconductors,” Physical Review B, vol. 74, no. 17, Article ID 174524, 6 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
97. W. Meevasana, N. J. C. Ingle, D. H. Lu, et al., “Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature ${\text{Bi}}_2{\text{Sr}}_2{\text{CuO}}_6$ superconductor,” Physical Review Letters, vol. 96, no. 15, Article ID 157003, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
98. A. S. Alexandrov and P. E. Kornilovitch, “Mobile small polaron,” Physical Review Letters, vol. 82, no. 4, pp. 807–810, 1999. View at Scopus
99. W. E. Pickett, “Electronic structure of the high-temperature oxide superconductors,” Review of Modern Physics, vol. 61, pp. 433–512, 1989.
100. K.-P. Bohnen, R. Heid, and M. Krauss, “Phonon dispersion and electron-phonon interaction for ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$ from first-principles calculations,” Europhysics Letters, vol. 64, no. 1, pp. 104–110, 2003. View at Publisher · View at Google Scholar · View at Scopus
101. L. Pintschovius and M. Braden, “Anomalous dispersion of LO phonons in ${\text{La}}_{1.85}{\text{Sr}}_{0.15}{\text{CuO}}_4$,” Physical Review B, vol. 60, no. 22, pp. R15039–R15042, 1999. View at Scopus
102. F. Giustino, M. L. Cohen, and S. G. Louie, “Small phonon contribution to the photoemission kink in the copper oxide superconductors,” Nature, vol. 452, no. 7190, pp. 975–978, 2008. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
103. D. Reznik, G. Sangiovanni, O. Gunnarsson, and T. P. Devereaux, “Photoemission kinks and phonons in cuprates,” Nature, vol. 455, no. 7213, pp. E6–E7, 2008. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
104. D. Reznik, L. Pintschovius, M. Ito, et al., “Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper oxide superconductors,” Nature, vol. 440, no. 7088, pp. 1170–1173, 2006. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
105. D. Reznik, L. Pintschovius, M. Fujita, K. Yamada, G. D. Gu, and J. M. Tranquada, “Electron-phonon anomaly related to charge stripes: static stripe phase versus optimally doped superconducting ${\text{La}}_{\text{1}\text{.85}}{\text{Sr}}_{\text{0}\text{.15}}{\text{CuO}}_4$,” Journal of Low Temperature Physics, vol. 147, no. 3-4, pp. 353–364, 2007. View at Publisher · View at Google Scholar · View at Scopus
106. L. Pintschovius, D. Reznik, W. Reichardt, et al., “Oxygen phonon branches in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Physical Review B, vol. 69, no. 21, Article ID 214506, 11 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
107. H. Uchiyama, A. Q. R. Baron, S. Tsutsui, et al., “Softening of Cu-O bond stretching phonons in tetragonal $HgB{a}_{2}Cu{O}_{4+\delta }$,” Physical Review Letters, vol. 92, no. 19, Article ID 197005, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
108. L. Pintschovius, D. Reznik, and K. Yamada, “Oxygen phonon branches in overdoped ${\text{La}}_{\text{1}\text{.7}}{\text{Sr}}_{\text{0}\text{.3}}{\text{Cu}}_{\text{3}}{\text{O}}_4$,” Physical Review B, vol. 74, no. 17, Article ID 174514, 5 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
109. J. J. M. Pothuizen, R. Eder, N. T. Hien, M. Matoba, A. A. Menovsky, and G. A. Sawatzky, “Single hole dynamics in the ${\text{CuO}}_2$ plane at half filling,” Physical Review Letters, vol. 78, no. 4, pp. 717–720, 1997. View at Scopus
110. G.-H. Gweon, T. Sasagawa, S. Y. Zhou, et al., “An unusual isotope effect in a high-transition-temperature superconductor,” Nature, vol. 430, no. 6996, pp. 187–190, 2004. View at Publisher · View at Google Scholar · View at PubMed
111. J. F. Douglas, H. Iwasawa, Z. Sun, et al., “Superconductors: unusual oxygen isotope effects in cuprates?” Nature, vol. 446, no. 7133, p. E5, 2007. View at Publisher · View at Google Scholar · View at PubMed
112. H. Iwasawa, Y. Aiura, T. Saitoh, et al., “A re-examination of the oxygen isotope effect in ARPES spectra of Bi2212,” Physica C, vol. 463–465, pp. 52–55, 2007. View at Publisher · View at Google Scholar
113. H. Iwasawa, J. F. Douglas, K. Sato, et al., “Isotopic fingerprint of electron-phonon coupling in high-$T_c$ cuprates,” Physical Review Letters, vol. 101, no. 15, Article ID 157005, 2008. View at Publisher · View at Google Scholar
114. J. Van den Brink and O. P. Sushkov, “Single-hole Green's functions in insulating copper oxides at nonzero temperature,” Physical Review B, vol. 57, no. 6, pp. 3518–3524, 1998. View at Scopus
115. S. Lupi, P. Maselli, M. Capizzi, P. Calvani, P. Giura, and P. Roy, “Evolution of a polaron band through the phase diagram of $N{d}_{2-x}C{e}_{x}Cu{O}_{4-y}$,” Physical Review Letters, vol. 83, no. 23, pp. 4852–4855, 1999. View at Scopus
116. S. Lupi, P. Calvani, M. Capizzi, P. Maselli, W. Sadowski, and E. Walker, “Infrared optical conductivity of the Nd-Ce-Cu-O system,” Physical Review B, vol. 45, no. 21, pp. 12470–12477, 1992. View at Publisher · View at Google Scholar · View at Scopus
117. S. Lupi, M. Capizzi, P. Calvani, et al., “Fano effect in the $a$-$b$ plane of ${\text{Nd}}_{1.96}{\text{Ce}}_{0.04}{\text{CuO}}_{4+y}$: evidence of phonon interaction with a polaronic background,” Physical Review B, vol. 57, no. 2, pp. 1248–1252, 1998. View at Scopus
118. M. A. Quijada, D. B. Tanner, R. J. Kelley, M. Onellion, H. Berger, and G. Margaritondo, “Anisotropy in the ab-plane optical properties of ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_{\text{2}}{\text{O}}_8$ single-domain crystals,” Physical Review B, vol. 60, no. 21, pp. 14917–14934, 1999. View at Scopus
119. Y. Onose, Y. Taguchi, K. Ishizaka, and Y. Tokura, “Doping dependence of pseudogap and related charge dynamics in $N{d}_{2-x}C{e}_{x}Cu{O}_4$,” Physical Review Letters, vol. 87, no. 21, Article ID 217001, 4 pages, 2001. View at Scopus
120. N. L. Wang, P. Zheng, T. Feng, et al., “Infrared properties of ${\text{La}}_{2-x}{(\text{Ca},\text{Sr})}_x{\text{CaCu}}_2{\text{O}}_{6+\delta }$ single crystals,” Physical Review B, vol. 67, no. 13, Article ID 134526, 5 pages, 2003. View at Scopus
121. P. D. Johnson, T. Valla, A. V. Fedorov, et al., “Doping and temperature dependence of the mass enhancement observed in the cuprate ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 87, no. 17, Article ID 86394, 1770074 pages, 2001. View at Scopus
122. T. Valla, A. V. Fedorov, P. D. Johnson, et al., “Evidence for quantum critical behavior in the optimally doped cuprate ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Science, vol. 285, no. 5436, pp. 2110–2113, 1999. View at Publisher · View at Google Scholar · View at Scopus
123. A. Kaminski, J. Mesot, H. Fretwell, et al., “Quasiparticles in the superconducting state of ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 84, no. 8, pp. 1788–1791, 2000. View at Scopus
124. P. V. Bogdanov, A. Lanzara, S. A. Kellar, et al., “Evidence for an energy scale for quasiparticle dispersion in ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_8$,” Physical Review Letters, vol. 85, no. 12, pp. 2581–2584, 2000. View at Scopus
125. A. Kaminski, M. Randeria, J. C. Campuzano, et al., “Renormalization of spectral line shape and dispersion below $T_c$ in ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 86, no. 6, pp. 1070–1073, 2001. View at Publisher · View at Google Scholar · View at Scopus
126. A. D. Gromko, A. V. Fedorov, Y.-D. Chuang, et al., “Mass-renormalized electronic excitations at ($\pi$,0) in the superconducting state of ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Physical Review B, vol. 68, no. 17, Article ID 174520, 2003. View at Scopus
127. T. Sato, H. Matsui, T. Takahashi, et al., “Observation of band renormalization effects in hole-doped high-$T_c$ superconductors,” Physical Review Letters, vol. 91, no. 15, Article ID 157003, 2003. View at Scopus
128. X. J. Zhou, J. Shi, T. Yoshida, et al., “Multiple bosonic mode coupling in the electron self-energy of ($L{a}_{2-x}S{r}_x$)$Cu{O}_4$,” Physical Review Letters, vol. 95, no. 11, Article ID 117001, 4 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
129. M. R. Norman, H. Ding, J. C. Campuzano, et al., “Unusual dispersion and line shape of the superconducting state spectra of ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 79, no. 18, pp. 3506–3509, 1997. View at Scopus
130. T. K. Kim, A. A. Kordyuk, S. V. Borisenko, et al., “Doping dependence of the mass enhancement in ${(\text{Pb},\text{Bi})}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_8$ at the antinodal point in the superconducting and normal states,” Physical Review Letters, vol. 91, no. 16, Article ID 167002, 4 pages, 2003. View at Scopus
131. R. Zeyher and A. Greco, “Low-energy renormalization of the electron dispersion of high-$T_c$ superconductors,” Physical Review B, vol. 64, no. 14, Article ID 140510, 4 pages, 2001. View at Scopus
132. S. Koikegami and Y. Aiura, “Kink structure in the electronic dispersion of high-$T_c$ superconductors from the electron-phonon interaction,” Physical Review B, vol. 77, no. 18, Article ID 184519, 2008. View at Publisher · View at Google Scholar · View at Scopus
133. M. R. Norman and H. Ding, “Collective modes and the superconducting-state spectral function of ${\text{Bi}}_2{\text{Sr}}_2$Ca${\text{Cu}}_2{\text{O}}_8$,” Physical Review B, vol. 57, no. 18, pp. R11089–R11092, 1998. View at Scopus
134. M. Eschrig and M. R. Norman, “Neutron resonance: modeling photoemission and tunneling data in the superconducting state of ${\text{Bi}}_2{\text{Sr}}_2$Ca${\text{Cu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 85, no. 15, pp. 3261–3264, 2000. View at Publisher · View at Google Scholar · View at Scopus
135. D. Manske, I. Eremin, and K. H. Bennemann, “Analysis of the elementary excitations in high-$T_c$ cuprates: explanation of the new energy scale observed by angle-resolved photoemission spectroscopy,” Physical Review Letters, vol. 87, no. 17, Article ID 177005, 4 pages, 2001. View at Scopus
136. M. Eschrig and M. R. Norman, “Dispersion anomalies in bilayer cuprates and the odd symmetry of the magnetic resonance,” Physical Review Letters, vol. 89, no. 27, Article ID 277005, 4 pages, 2002. View at Scopus
137. D. Manske, I. Eremin, and K. H. Bennemann, “Renormalization of the elementary excitations in hole- and electron-doped cuprates due to spin fluctuations,” Physical Review B, vol. 67, no. 13, Article ID 134520, 12 pages, 2003. View at Scopus
138. A. V. Chubukov and M. R. Norman, “Dispersion anomalies in cuprate superconductors,” Physical Review B, vol. 70, no. 17, Article ID 174505, 12 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
139. D. Manske, Theory of Unconventional Superconductors: Cooper Pairing Mediated by Spin Excitations, vol. 202 of Springer Tracts in Modern Pysics, Springer, Heidelberg, Germany, 2004.
140. H. F. Fong, P. Bourges, Y. Sidis, et al., “Neutron scattering from magnetic excitations in ${\text{Bi}}_2{\text{Sr}}_2$Ca${\text{Cu}}_2{\text{O}}_{8+\delta }$,” Nature, vol. 398, no. 6728, pp. 588–591, 1999. View at Publisher · View at Google Scholar · View at Scopus
141. H. A. Mook, M. Yethiraj, G. Aeppli, T. E. Mason, and T. Armstrong, “Polarized neutron determination of the magnetic excitations in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Physical Review Letters, vol. 70, no. 22, pp. 3490–3493, 1993. View at Publisher · View at Google Scholar · View at Scopus
142. H. F. Fong, B. Keimer, P. W. Anderson, D. Reznik, F. Doğan, and I. A. Aksay, “Phonon and magnetic neutron scattering at 41 meV in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Physical Review Letters, vol. 75, no. 2, pp. 316–319, 1995. View at Publisher · View at Google Scholar · View at Scopus
143. B. Vignolle, S. M. Hayden, D. F. McMorrow, et al., “Two energy scales in the spin excitations of the high-temperature superconductor ${\text{La}}_{2-x}{\text{Sr}}_x{\text{CuO}}_4$,” Nature Physics, vol. 3, no. 3, pp. 163–167, 2007. View at Publisher · View at Google Scholar · View at Scopus
144. A. W. Sandvik, D. J. Scalapino, and N. E. Bickers, “Effect of an electron-phonon interaction on the one-electron spectral weight of a $d$-wave superconductor,” Physical Review B, vol. 69, no. 9, Article ID 094523, 11 pages, 2004. View at Scopus
145. S. R. Park, D. J. Song, C. S. Leem, et al., “Angle-resolved photoemission spectroscopy of electron-doped cuprate superconductors: isotropic electron-phonon coupling,” Physical Review Letters, vol. 101, no. 11, Article ID 117006, 4 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
146. D. Reznik, B. Keimer, F. Dogan, and I. A. Aksay, “q dependence of self-energy effects of the plane oxygen vibration in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Physical Review Letters, vol. 75, no. 12, pp. 2396–2399, 1995. View at Publisher · View at Google Scholar · View at Scopus
147. R. J. McQueeney, Y. Petrov, T. Egami, M. Yethiraj, G. Shirane, and Y. Endoh, “Anomalous dispersion of LO phonons in ${\text{La}}_{1.85}{\text{Sr}}_{0.15}{\text{CuO}}_4$ at low temperatures,” Physical Review Letters, vol. 82, no. 3, pp. 628–631, 1999. View at Scopus
148. P. Dai, H. A. Mook, S. M. Hayden, et al., “The magnetic excitation spectrum and thermodynamics of high-$T_c$ superconductors,” Science, vol. 284, no. 5418, pp. 1344–1347, 1999. View at Publisher · View at Google Scholar · View at Scopus
149. S. D. Wilson, P. Dai, S. Li, S. Chi, H. J. Kang, and J. W. Lynn, “Resonance in the electron-doped high-transition-temperature superconductor ${\mathrm{Pr}}_{\hspace{0.17em}}{\text{LaCe}}_{0.12}{\text{CuO}}_{4-\delta }$,” Nature, vol. 442, no. 7098, pp. 59–62, 2006. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
150. J. Zhao, P. Dai, S. Li, P. G. Freeman, Y. Onose, and Y. Tokura, “Neutron-spin resonance in the optimally electron-doped superconductor ${\text{Nd}}_{1.85}{\text{Ce}}_{0.15}{\text{CuO}}_{4-\delta }$,” Physical Review Letters, vol. 99, no. 1, Article ID 017001, 4 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
151. L. Pintschovius, N. Pyka, W. Reichardt, et al., “Lattice dynamical studies of HTSC materials,” Physica C, vol. 185–189, pp. 156–161, 1991. View at Scopus
152. L. Pintschovius and M. Braden, “Phonon anomalies in ${\text{La}}_2{\text{CuO}}_{4-\delta }$,” Journal of Low Temperature Physics, vol. 105, no. 3-4, pp. 813–818, 1996. View at Scopus
153. W. Reichardt, “Cu-O bond-stretching vibrations in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$ studied by inelastic neutron scattering,” Journal of Low Temperature Physics, vol. 105, no. 3-4, pp. 807–812, 1996. View at Scopus
154. R. J. McQueeney, J. L. Sarrao, P. G. Pagliuso, P. W. Stephens, and R. Osborn, “Mixed lattice and electronic states in high-temperature superconductors,” Physical Review Letters, vol. 87, no. 7, Article ID 077001, 4 pages, 2001. View at Scopus
155. L. Pintschovius, W. Reichardt, M. Kläser, T. Wolf, and H. V. Löhneysen, “Pronounced in-plane anisotropy of phonon anomalies in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_{6.6}$,” Physical Review Letters, vol. 89, no. 3, Article ID 037001, 4 pages, 2002. View at Scopus
156. J.-H. Chung, T. Egami, R. J. McQueeney, et al., “In-plane anisotropy and temperature dependence of oxygen phonon modes in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_{6.95}$,” Physical Review B, vol. 67, no. 1, Article ID 014517, 9 pages, 2003. View at Scopus
157. N. Pyka, W. Reichardt, L. Pintschovius, G. Engel, J. Rossat-Mignod, and J. Y. Henry, “Superconductivity-induced phonon softening in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$ observed by inelastic neutron scattering,” Physical Review Letters, vol. 70, no. 10, pp. 1457–1460, 1993. View at Publisher · View at Google Scholar · View at Scopus
158. S. L. Cooper, M. V. Klein, B. G. Pazol, J. P. Rice, and D. M. Ginsberg, “Raman scattering from superconducting gap excitations in single-crystal ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_{7\text{-}\delta }$,” Physical Review B, vol. 37, no. 10, pp. 5920–5923, 1988. View at Publisher · View at Google Scholar · View at Scopus
159. C. Thomsen, M. Cardona, B. Gegenheimer, R. Liu, and A. Simon, “Untwinned single crystals of ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$-: an optical investigation of the a-b anisotropy,” Physical Review B, vol. 37, no. 16, pp. 9860–9863, 1988. View at Publisher · View at Google Scholar · View at Scopus
160. J. Graf, M. D'Astuto, P. Giura, et al., “In-plane copper-oxygen bond-stretching mode anomaly in underdoped ${\text{La}}_{2-x}{\text{Sr}}_x{\text{CuO}}_{\text{4}+\delta }$ measured with high-resolution inelastic X-ray scattering,” Physical Review B, vol. 76, no. 17, Article ID 172507, 2007. View at Publisher · View at Google Scholar · View at Scopus
161. J. Graf, M. D'Astuto, C. Jozwiak, et al., “Bond stretching phonon softening and kinks in the angle-resolved photoemission spectra of optimally doped ${\text{Bi}}_2{\text{Sr}}_{1.6}{\text{La}}_{0.4}{\text{Cu}}_{\text{2}}{\text{O}}_{6+\delta }$ superconductors,” Physical Review Letters, vol. 100, no. 22, Article ID 227002, 2008. View at Publisher · View at Google Scholar · View at Scopus
162. K. J. von Szczepanski and K. W. Becker, “Coupling of electrons and phonons in a doped antiferromagnet,” Zeitschrift für Physik B, vol. 89, no. 3, pp. 327–334, 1992. View at Publisher · View at Google Scholar · View at Scopus
163. C. Falter and M. Klenner, “Nonadiabatic and nonlocal electron-phonon interaction and phonon-plasmon mixing in the high-temperature superconductors,” Physical Review B, vol. 50, no. 13, pp. 9426–9433, 1994. View at Publisher · View at Google Scholar · View at Scopus
164. C. Falter, M. Klenner, and G. A. Hoffmann, “Phonon renormalization and c-axis phonon-plasmon mixing in ${\text{La}}_2{\text{CuO}}_4$,” Physical Review B, vol. 52, no. 5, pp. 3702–3710, 1995. View at Publisher · View at Google Scholar · View at Scopus
165. B. Bäuml, G. Wellein, and H. Fehske, “Optical absorption and single-particle excitations in the two-dimensional Holstein $t\text{-}J$ model,” Physical Review B, vol. 58, no. 7, pp. 3663–3676, 1998. View at Scopus
166. A. Ramak, P. Horsch, and P. Fulde, “Effective mass of quasiparticles in a $t\text{-}J$ model with electron-phonon interactions,” Physical Review B, vol. 46, no. 21, pp. 14305–14308, 1992. View at Publisher · View at Google Scholar · View at Scopus
167. B. Kyung, S. I. Mukhin, V. N. Kostur, and R. A. Ferrell, “Spectral properties of the $t\text{-}J$ model in the presence of hole-phonon interaction,” Physical Review B, vol. 54, no. 18, pp. 13167–13174, 1996. View at Scopus
168. H. Röder, H. Fehske, and R. N. Silver, “The ordering of polarons in the Holstein t-J model: an application to ${\text{La}}_{2-x}{\text{Sr}}_x{\text{NiO}}_{4+y}$,” Europhysics Letters, vol. 28, no. 4, pp. 257–262, 1994.
169. S. Schmitt-Rink, C. M. Varma, and A. E. Ruckenstein, “Spectral function of holes in a quantum antiferromagnet,” Physical Review Letters, vol. 60, no. 26, pp. 2793–2796, 1988. View at Publisher · View at Google Scholar · View at Scopus
170. G. Martinez and P. Horsch, “Spin polarons in the $t\text{-}J$ model,” Physical Review B, vol. 44, no. 1, pp. 317–331, 1991. View at Publisher · View at Google Scholar · View at Scopus
171. O. Gunnarsson and O. Rösch, “Electron-phonon coupling in the self-consistent Born approximation of the $t\text{-}J$ model,” Physical Review B, vol. 73, no. 17, Article ID 174521, 2006. View at Publisher · View at Google Scholar · View at Scopus
172. J. Bonča, S. Maekawa, T. Tohyama, and P. Prelovšek, “Spectral properties of a hole coupled to optical phonons in the generalized $t\text{-}J$ model,” Physical Review B, vol. 77, no. 5, Article ID 054519, 2008. View at Publisher · View at Google Scholar · View at Scopus
173. J. Bonča, S. A. Trugman, and I. Batistić, “Holstein polaron,” Physical Review B, vol. 60, no. 3, pp. 1633–1642, 1999. View at Scopus
174. J. Bonča, S. Maekawa, and T. Tohyama, “Numerical approach to the low-doping regime of the $t\text{-}J$ model,” Physical Review B, vol. 76, no. 3, Article ID 035121, 6 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
175. E. I. Rashba, “Self-trapping of excitons,” in Modern Problems in Condensed Matter Sciences, V. M. Agranovich and A. A. Maradudin, Eds., vol. 2, p. 543, Notrh Holland, Amsterdam, The Netherlands, 1982.
176. A. S. Ioselevich and E. I. Rashba, “Theory of nonradiative trapping in crystals,” in Modern Problems in Condensed Matter Sciences, vol. 34, p. 347, Notrh Holland, Amsterdam, The Netherlands, 1992.
177. K. M. Shen, F. Ronning, W. Meevasana, et al., “Angle-resolved photoemission studies of lattice polaron formation in the cuprate ${\text{Ca}}_2{\text{CuO}}_2{\text{Cl}}_2$,” Physical Review B, vol. 75, no. 7, Article ID 075115, 2007. View at Publisher · View at Google Scholar · View at Scopus
178. F. Ronning, K. M. Shen, N. P. Armitage, et al., “Anomalous high-energy dispersion in angle-resolved photoemission spectra from the insulating cuprate ${\text{Ca}}_2{\text{CuO}}_2{\text{Cl}}_2$,” Physical Review B, vol. 71, no. 9, Article ID 094518, 5 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
179. J. Graf, G.-H. Gweon, K. McElroy, et al., “Universal high energy anomaly in the angle-resolved photoemission spectra of high temperature superconductors: possible evidence of spinon and holon branches,” Physical Review Letters, vol. 98, no. 6, Article ID 067004, 2007. View at Publisher · View at Google Scholar · View at Scopus
180. B. P. Xie, K. Yang, D. W. Shen, et al., “High-energy scale revival and giant kink in the dispersion of a cuprate superconductor,” Physical Review Letters, vol. 98, no. 14, Article ID 147001, 2007. View at Publisher · View at Google Scholar · View at Scopus
181. T. Valla, T. E. Kidd, W.-G. Yin, et al., “High-energy kink observed in the electron dispersion of high-temperature cuprate superconductors,” Physical Review Letters, vol. 98, no. 16, Article ID 167003, 2007. View at Publisher · View at Google Scholar · View at Scopus
182. W. Meevasana, X. J. Zhou, S. Sahrakorpi, et al., “Hierarchy of multiple many-body interaction scales in high-temperature superconductors,” Physical Review B, vol. 75, no. 17, Article ID 174506, 2007. View at Publisher · View at Google Scholar · View at Scopus
183. E. Manousakis, “String excitations of a hole in a quantum antiferromagnet and photoelectron spectroscopy,” Physical Review B, vol. 75, no. 3, Article ID 035106, 2007. View at Publisher · View at Google Scholar · View at Scopus
184. E. Manousakis, “Possible observation of “string excitations” of a hole in a quantum antiferromagnet,” Physics Letters A, vol. 362, no. 1, pp. 86–89, 2007. View at Publisher · View at Google Scholar · View at Scopus
185. F. Carbone, D.-S. Yang, E. Giannini, and A. H. Zewail, “Direct role of structural dynamics in electron-lattice coupling of superconducting cuprates,” Proceedings of the National Academy of Sciences of the United States of America, vol. 105, no. 51, pp. 20161–20166, 2008. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
186. P. B. Allen, “Theory of thermal relaxation of electrons in metals,” Physical Review Letters, vol. 59, no. 13, pp. 1460–1463, 1987. View at Publisher · View at Google Scholar · View at Scopus
187. M. Grüninger, D. van der Marel, A. Damascelli, A. Erb, T. Nunner, and T. Kopp, “Midinfrared absorption in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_6$: evidence for a failure of spin-wave theory for spin 1/2 in two dimensions,” Physical Review B, vol. 62, no. 18, pp. 12422–12426, 2000. View at Publisher · View at Google Scholar · View at Scopus
188. I. Eremin, O. Kamaev, and M. V. Eremin, “Possible isotope effect on the resonance peak formation in high-$T_c$ cuprates,” Physical Review B, vol. 69, no. 9, Article ID 094517, 5 pages, 2004. View at Scopus
189. G.-M. Zhao, “Evidence for very strong electron-phonon coupling in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_6$,” Physical Review B, vol. 75, no. 10, Article ID 104511, 2007. View at Publisher · View at Google Scholar · View at Scopus
190. G.-H. Gweon, S. Y. Zhou, M. C. Watson, T. Sasagawa, H. Takagi, and A. Lanzara, “Strong and complex electron-lattice correlation in optimally doped ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 97, no. 22, Article ID 227001, 2006. View at Publisher · View at Google Scholar · View at Scopus
191. J. Lee, K. Fujita, K. McElroy, et al., “Interplay of electrong-lattice interactions and superconductivity in ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Nature, vol. 442, no. 7102, pp. 546–550, 2006. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
192. A. De Lozanne, “Superconductivity: hot vibes,” Nature, vol. 442, no. 7102, pp. 522–523, 2006. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
193. J. D. Koralek, J. F. Douglas, N. C. Plumb, et al., “Laser based angle-resolved photoemission, the sudden approximation, and quasiparticle-like spectral peaks in ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+\delta }$,” Physical Review Letters, vol. 96, no. 1, Article ID 017005, 2006. View at Publisher · View at Google Scholar · View at Scopus
194. J. P. Hague, P. E. Kornilovitch, A. S. Alexandrov, and J. H. Samson, “Effects of lattice geometry and interaction range on polaron dynamics,” Physical Review B, vol. 73, no. 5, Article ID 054303, 14 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
195. P. E. Spencer, J. H. Samson, P. E. Kornilovitch, and A. S. Alexandrov, “Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study,” Physical Review B, vol. 71, no. 18, Article ID 184310, 2005. View at Publisher · View at Google Scholar · View at Scopus
196. P. E. Kornilovitch and A. S. Alexandrov, “Isotope effect on the electron band structure of doped insulators,” Physical Review B, vol. 70, no. 22, Article ID 224511, 2004. View at Publisher · View at Google Scholar · View at Scopus
197. P. E. Kornilovitch, “Giant enhancement of anisotropy by electron-phonon interaction,” Physical Review B, vol. 59, no. 21, pp. 13531–13534, 1999. View at Scopus
198. P. E. Kornilovitch, “Continuous-time quantum Monte Carlo algorithm for the lattice polaron,” Physical Review Letters, vol. 81, no. 24, pp. 5382–5385, 1998. View at Scopus
199. P. Paci, M. Capone, E. Cappelluti, S. Ciuchi, C. Grimaldi, and L. Pietronero, “Polaronic and nonadiabatic phase diagram from anomalous isotope effects,” Physical Review Letters, vol. 94, no. 3, Article ID 036406, 4 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
200. S. Andergassen, S. Caprara, C. Di Castro, and M. Grilli, “Anomalous isotopic effect near the charge-ordering quantum criticality,” Physical Review Letters, vol. 87, no. 5, Article ID 056401, 4 pages, 2001. View at Scopus
201. S. Fratini and S. Ciuchi, “Spectral properties and isotope effect in strongly interacting systems: Mott-Hubbard insulator versus polaronic semiconductor,” Physical Review B, vol. 72, no. 23, Article ID 235107, 9 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
202. P. Paci, M. Capone, E. Cappelluti, S. Ciuchi, and C. Grimaldi, “Isotope effects in the Hubbard-Holstein model within dynamical mean-field theory,” Physical Review B, vol. 74, no. 20, Article ID 205108, 2006. View at Publisher · View at Google Scholar · View at Scopus
203. G. A. Sawatzky, “Testing Fermi-liquid models,” Nature, vol. 342, no. 6249, pp. 480–481, 1989. View at Scopus
204. D. S. Dessau, T. Saitoh, C.-H. Park, et al., “k-dependent electronic structure, a large “ghost” fermi surface, and a pseudogap in a layered magnetoresistive oxide,” Physical Review Letters, vol. 81, no. 1, pp. 192–195, 1998. View at Scopus
205. L. Perfetti, H. Berger, A. Reginelli, et al., “Spectroscopic indications of polaronic carriers in the quasi-one-dimensional conductor ${({\text{TaSe}}_4)}_2\text{I}$,” Physical Review Letters, vol. 87, no. 21, Article ID 216404, 2001.
206. L. Perfetti, S. Mitrovic, G. Margaritondo, et al., “Mobile small polarons and the Peierls transition in the quasi-one-dimensional conductor ${\text{K}}_{0.3}{\text{MoO}}_3$,” Physical Review B, vol. 66, no. 7, Article ID 075107, 8 pages, 2002. View at Scopus
207. D. Schrupp, M. Sing, M. Tsunekawa, et al., “High-energy photoemission on ${\text{Fe}}_3{\text{O}}_4$: small polaron physics and the Verwey transition,” Europhysics Letters, vol. 70, no. 6, pp. 789–795, 2005. View at Publisher · View at Google Scholar · View at Scopus
208. G. D. Mahan, Many Particle Physics, Plenum Press, New York, NY, USA, 2000.
209. H. Röder, H. Fehske, and H. Büttner, “Exact diagonalization study of the two-dimensional $t\text{-}J$ model with adiabatic Holstein phonons: single-hole case,” Physical Review B, vol. 47, no. 19, pp. 12420–12425, 1993. View at Publisher · View at Google Scholar · View at Scopus
210. P. Prelovšek, R. Zeyher, and P. Horsch, “Self-localization of composite spin-lattice polarons,” Physical Review Letters, vol. 96, no. 8, Article ID 086402, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
211. V. Cataudella, G. De Filippis, A. S. Mishchenko, and N. Nagaosa, “Evidences of the charge-lattice interaction in undoped cuprates,” Journal of Superconductivity and Novel Magnetism, vol. 22, no. 1, pp. 17–20, 2009. View at Publisher · View at Google Scholar · View at Scopus
212. M. Berciu, “Green's function of a dressed particle,” Physical Review Letters, vol. 97, no. 3, Article ID 036402, 2006. View at Publisher · View at Google Scholar · View at Scopus
213. G. L. Goodvin, M. Berciu, and G. A. Sawatzky, “Green's function of the Holstein polaron,” Physical Review B, vol. 74, no. 24, Article ID 245104, 2006. View at Publisher · View at Google Scholar · View at Scopus
214. M. Berciu, “Berciu Replies—comment on “Green's function of a dressed particle”,” Physical Review Letters, vol. 98, no. 20, Article ID 209702, 1 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
215. M. Berciu and G. L. Goodvin, “Systematic improvement of the momentum average approximation for the Green's function of a Holstein polaron,” Physical Review B, vol. 76, no. 16, Article ID 165109, 2007. View at Publisher · View at Google Scholar · View at Scopus
216. L. Covaci and M. Berciu, “Holstein polaron: the effect of coupling to multiple-phonon modes,” Europhysics Letters, vol. 80, no. 6, Article ID 67001, 2007. View at Publisher · View at Google Scholar · View at Scopus
217. L. Covaci and M. Berciu, “Survival of the dirac points in rippled graphene,” Physical Review Letters, vol. 100, no. 25, Article ID 256405, 2008. View at Publisher · View at Google Scholar · View at Scopus
218. G. L. Goodvin and M. Berciu, “Momentum average approximation for models with electron-phonon coupling dependent on the phonon momentum,” Physical Review B, vol. 78, no. 23, Article ID 235120, 2008. View at Publisher · View at Google Scholar · View at Scopus
219. L. Covaci and M. Berciu, “Polaron formation in the presence of Rashba spin-orbit coupling: implications for spintronics,” Physical Review Letters, vol. 102, no. 18, Article ID 186403, 2009. View at Publisher · View at Google Scholar · View at Scopus
220. O. S. Barišić, “Comment: Green's function of a dressed particle,” Physical Review Letters, vol. 98, no. 20, Article ID 209701, 2007. View at Publisher · View at Google Scholar · View at Scopus
221. O. S. Barišić, “Diagrammatic content of the dynamical mean-field theory for the Holstein polaron problem in finite dimensions,” Physical Review B, vol. 76, no. 19, Article ID 193106, 2007. View at Publisher · View at Google Scholar · View at Scopus
222. J. K. Freericks, M. Jarrell, and D. J. Scalapino, “Holstein model in infinite dimensions,” Physical Review B, vol. 48, no. 9, pp. 6302–6314, 1993. View at Publisher · View at Google Scholar · View at Scopus
223. E. Cappelluti and S. Ciuchi, “Magnetic and lattice polaron in the Holstein $t\text{-}J$ model,” Physical Review B, vol. 66, no. 16, Article ID 165102, 12 pages, 2002. View at Scopus
224. E. Cappelluti, S. Ciuchi, and S. Fratini, “Polaronic features in the optical properties of the Holstein $t\text{-}J$ model,” Physical Review B, vol. 76, no. 12, Article ID 125111, 2007. View at Publisher · View at Google Scholar · View at Scopus
225. M. Cini and A. D. Andrea, “Exactly solved electron-boson models in condensed matter and molecular physics by a generalised recursion method,” Journal of Physics C, vol. 21, pp. 193–235, 1988. View at Publisher · View at Google Scholar
226. S. Cuichi, et al., “Dynamical mean-field theory of the small polaron,” Physical Review B, vol. 56, p. 4494, 1997.
227. A. J. Millis, R. Mueller, and B. I. Shraiman, “Fermi-liquid-to-polaron crossover. I. General results,” Physical Review B, vol. 54, no. 8, pp. 5389–5404, 1996. View at Scopus
228. P. Benedetti and R. Zeyher, “Holstein model in infinite dimensions at half-filling,” Physical Review B, vol. 58, no. 21, pp. 14320–14334, 1998. View at Scopus
229. D. Meyer, A. C. Hewson, and R. Bulla, “Gap formation and soft phonon mode in the Holstein model,” Physical Review Letters, vol. 89, no. 19, Article ID 196401, 4 pages, 2002. View at Scopus
230. J. E. Han, O. Gunnarsson, and V. H. Crespi, “Strong superconductivity with local Jahn-Teller phonons in ${\text{C}}_{60}$ solids,” Physical Review Letters, vol. 90, no. 16, Article ID 167006, 4 pages, 2003. View at Scopus
231. M. Capone and S. Ciuchi, “Polaron crossover and bipolaronic metal-insulator transition in the half-filled Holstein model,” Physical Review Letters, vol. 91, no. 18, Article ID 186405, 4 pages, 2003. View at Scopus
232. M. Capone, P. Carta, and S. Ciuchi, “Dynamical mean field theory of polarons and bipolarons in the half-filled Holstein model,” Physical Review B, vol. 74, no. 4, Article ID 045106, 2006. View at Publisher · View at Google Scholar · View at Scopus
233. H. Barentzen, “Intermediate-coupling theory of the spin polaron in the $t\text{-}J$ model,” Physical Review B, vol. 53, no. 9, pp. 5598–5608, 1996. View at Scopus
234. S. Yunoki, A. Macridin, and G. Sawatzky, private communication.
235. J. J. M. Pothuizen, , Ph.D. thesis, Groningen, The Netherlands, 1998.
236. C. Kim, private communication.
237. Z. Liu and E. Manousakis, “Loop-expansion study of the single-hole spectral function in the t-J model,” Physical Review B, vol. 51, no. 5, pp. 3156–3162, 1995. View at Publisher · View at Google Scholar · View at Scopus
238. A. S. Alexandrov and K. Reynolds, “Angle-resolved photoemission spectroscopy of band tails in lightly doped cuprates,” Physical Review B, vol. 76, no. 13, Article ID 132506, 4 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
239. G. De Filippis, V. Cataudella, and G. Iadonisi, “Normal state properties of an interacting large polaron gas,” European Physical Journal B, vol. 8, no. 3, pp. 339–351, 1999.
240. J. Lorenzana, “Instability due to long-range Coulomb interaction in a liquid of Feynman polarons,” Europhysics Letters, vol. 53, no. 4, pp. 532–538, 2001. View at Publisher · View at Google Scholar
241. J. Tempere and J. T. Devreese, “Sum rule for the optical absorption of an interacting many-polaron gas,” European Physical Journal B, vol. 20, no. 1, pp. 27–33, 2001.
242. J. Tempere and J. T. Devreese, “Optical absorption of an interacting many-polaron gas,” Physical Review B, vol. 64, no. 10, Article ID 104504, 10 pages, 2001.
243. E. Cappelluti, S. Ciuchi, and S. Fratini, “Polaronic signatures in the optical properties of the electron-doped cuprate superconductor ${\text{Nd}}_{2-x}{\text{Ce}}_x{\text{CuO}}_4$,” Physical Review B, vol. 79, no. 1, Article ID 012502, 4 pages, 2009. View at Publisher · View at Google Scholar
244. R. Liang, D. A. Bonn, and W. N. Hardy, “Evaluation of ${\text{CuO}}_2$ plane hole doping in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_{6+x}$ single crystals,” Physical Review B, vol. 73, no. 18, Article ID 180505(R), 4 pages, 2006. View at Publisher · View at Google Scholar
245. D. Mihailović, C. M. Foster, K. Voss, and A. J. Heeger, “Application of the polaron-transport theory to $\sigma (\omega )$ in ${\text{Tl}}_2{\text{Ba}}_2{\text{Ca}}_{1-x}{\text{Gd}}_x{\text{Cu}}_2{\text{O}}_8$, ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_{7-\delta }$, and ${\text{La}}_{2-x}{\text{Sr}}_x{\text{CuO}}_4$,” Physical Review B, vol. 42, no. 13, pp. 7989–7993, 1990. View at Publisher · View at Google Scholar · View at Scopus
246. X.-X. Bi and P. C. Eklund, “Polaron contribution to the infrared optical response of ${\text{La}}_{2-x}{\text{Sr}}_x{\text{CuO}}_{4+\delta }$ and ${\text{La}}_{2-x}{\text{Sr}}_x{\text{NiO}}_{4+\delta }$,” Physical Review Letters, vol. 70, no. 17, pp. 2625–2628, 1993. View at Publisher · View at Google Scholar · View at Scopus
247. A. S. Alexandrov and N. Mott, Polarons and Bipolarons, World Scientific, Singapore, 1995.
248. J. T. Devreese and J. Tempere, “Large-polaron effects in the infrared spectrum of high-$T_c$ cuprate superconductors,” Solid State Communications, vol. 106, no. 5, pp. 309–313, 1998. View at Scopus
249. J. T. Devreese, “Fröhlich polarons from 0D to 3D: concepts and recent developments,” Journal of Physics: Condensed Matter, vol. 19, no. 25, Article ID 255201, 23 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
250. A. E. Myasnikova and E. N. Myasnikov, “Correlation of optical conductivity and angle-resolved photoemission spectra of strong-coupling large polarons and its display in cuprates,” Physical Review B, vol. 77, no. 16, Article ID 165136, 11 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
251. A. S. Mishchenko, unpublished.
252. E. N. Myasnikov, A. E. Myasnikova, and Z. P. Mastropas, “Multiphonon generation during photodissociation of slow Landau-Pekar polarons,” Zhurnal Éksperimental'noĭ i Teoreticheskoĭ Fiziki, vol. 129, no. 3, pp. 548–565, 2006.
253. E. N. Myasnikov, A. E. Myasnikova, and Z. P. Mastropas, “Multiphonon generation during photodissociation of slow Landau-Pekar polarons,” Journal of Experimental and Theoretical Physics, vol. 102, no. 3, pp. 480–496, 2006. View at Publisher · View at Google Scholar · View at Scopus
254. L. Vidmar, J. Bonča, and S. Maekawa, “Optical conductivity in the t-J Holstein model,” Physical Review B, vol. 79, no. 12, Article ID 125120, 6 pages, 2009. View at Publisher · View at Google Scholar · View at Scopus
255. A. Macridin, B. Moritz, M. Jarrell, and T. Maier, “Synergistic polaron formation in the Hubbard-Holstein model at small doping,” Physical Review Letters, vol. 97, no. 5, Article ID 056402, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
256. A. Ramšak and P. Horsch, “Spin polarons in the t-J model: shape and backflow,” Physical Review B, vol. 48, no. 14, pp. 10559–10562, 1993. View at Publisher · View at Google Scholar · View at Scopus
257. W. F. Brinkman and T. M. Rice, “Single-particle excitations in magnetic insulators,” Physical Review B, vol. 2, no. 5, pp. 1324–1338, 1970. View at Publisher · View at Google Scholar · View at Scopus
258. V. Cataudella, G. De Filippis, F. Martone, and C. A. Perroni, “Variational approach to the optimized phonon technique for electron-phonon problems,” Physical Review B, vol. 70, no. 19, Article ID 193105, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
259. G. De Filippis, V. Cataudella, V. M. Ramaglia, and C. A. Perroni, “Static and dynamic polaron features in a coherent-state basis,” Physical Review B, vol. 72, no. 1, Article ID 014307, 7 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
260. A. Fujimori, A. E. Bocquet, K. Morikawa, et al., “Electronic structure and electron-phonon interaction in transition metal oxides with d0 configuration and lightly doped compounds,” Journal of Physics and Chemistry of Solids, vol. 57, no. 10, pp. 1379–1384, 1996. View at Publisher · View at Google Scholar · View at Scopus
261. C. A. Perroni, V. Cataudella, and G. De Filippis, “Polaron features for long-range electron-phonon interaction,” Journal of Physics: Condensed Matter, vol. 16, no. 9, pp. 1593–1601, 2004. View at Scopus
262. M. Berciu and G. A. Sawatzky, “Light polarons and bipolarons for a highly inhomogeneous electron-boson coupling,” Europhysics Letters, vol. 81, no. 5, Article ID 57008, 6 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
263. J. Bonča and S. A. Trugman, “Bipolarons in the extended Holstein Hubbard model,” Physical Review B, vol. 64, no. 9, Article ID 094507, 4 pages, 2001. View at Scopus
264. A. S. Alexandrov and B. Ya. Yavidov, “Small adiabatic polaron with a long-range electron-phonon interaction,” Physical Review B, vol. 69, no. 7, Article ID 073101, 4 pages, 2004. View at Scopus
265. J. T. Devreese and A. S. Alexandrov, “Fröhlich polaron and bipolaron: recent developments,” Reports on Progress in Physics, vol. 72, no. 6, Article ID 066501, 52 pages, 2009. View at Publisher · View at Google Scholar · View at Scopus
266. M. Zoli, “Two- and three-dimensional polaronic motion: beyond the Holstein model,” Physical Review B, vol. 57, no. 17, pp. 10555–10559, 1998. View at Scopus
267. M. Zoli, “Lattice-dynamics effects on small-polaron properties,” Physical Review B, vol. 61, no. 21, pp. 14523–14530, 2000. View at Scopus
268. M. Zoli and A. N. Das, “Polaron crossover in molecular solids,” Journal of Physics: Condensed Matter, vol. 16, no. 21, pp. 3597–3607, 2004. View at Publisher · View at Google Scholar · View at Scopus
269. A. S. Alexandrov, Theory of Superconductivity: From Weak to Strong Coupling, Institute of Physics Publishing, Bristol, UK.
270. A. S. Alexandrov, “Bipolaren anisotropic flat bands, Hall mobility edge, and metal-semiconductor duality of overdoped high-$T_c$ oxides,” Physical Review B, vol. 53, no. 5, pp. 2863–2869, 1996. View at Scopus
271. A. S. Alexandrov and P. E. Kornilovitch, “The Fröhlich-Coulomb model of high-temperature superconductivity and charge segregation in the cuprates,” Journal of Physics: Condensed Matter, vol. 14, no. 21, pp. 5337–5348, 2002. View at Publisher · View at Google Scholar · View at Scopus
272. J. P. Hague, P. E. Kornilovitch, J. H. Samson, and A. S. Alexandrov, “Superlight small bipolarons in the presence of a strong coulomb repulsion,” Physical Review Letters, vol. 98, no. 3, Article ID 037002, 4 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
273. H. Fehske, J. Loos, and G. Wellein, “Lattice polaron formation: effects of nonscreened electron-phonon interaction,” Physical Review B, vol. 61, no. 12, pp. 8016–8025, 2000. View at Scopus
274. T. Sakai, D. Poilblanc, and D. J. Scalapino, “Hole pairing and phonon dynamics in generalized two-dimensional t-J Holstein models,” Physical Review B, vol. 55, no. 13, pp. 8445–8451, 1997. View at Scopus
275. C. Slezak, A. Macridin, G. A. Sawatzky, M. Jarrell, and T. A. Maier, “Spectral properties of Holstein and breathing polarons,” Physical Review B, vol. 73, no. 20, Article ID 205122, 10 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
276. O. Rösch and O. Gunnarsson, “Apparent electron-phonon interaction in strongly correlated systems,” Physical Review Letters, vol. 93, no. 23, Article ID 237001, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
277. O. Rösch, G. Sangiovanni, and O. Gunnarsson, “Sum rules and vertex corrections for electron-phonon interactions,” Physical Review B, vol. 75, no. 3, Article ID 035119, 9 pages, 2007. View at Publisher · View at Google Scholar · View at Scopus
278. M. Capone, G. Sangiovanni, C. Castellani, C. Di Castro, and M. Grilli, “Phase separation close to the density-driven mott transition in the Hubbard-Holstein model,” Physical Review Letters, vol. 92, no. 10, Article ID 106401, 4 pages, 2004. View at Publisher · View at Google Scholar · View at Scopus
279. G. Sangiovanni, M. Capone, C. Castellani, and M. Grilli, “Electron-phonon interaction close to a mott transition,” Physical Review Letters, vol. 94, no. 2, Article ID 026401, 4 pages, 2005. View at Publisher · View at Google Scholar · View at Scopus
280. G. Sangiovanni, M. Capone, and C. Castellani, “Relevance of phonon dynamics in strongly correlated systems coupled to phonons: dynamical mean-field theory analysis,” Physical Review B, vol. 73, no. 16, Article ID 165123, 9 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
281. G. Sangiovanni, O. Gunnarsson, E. Koch, C. Castellani, and M. Capone, “Electron-phonon interaction and antiferromagnetic correlations,” Physical Review Letters, vol. 97, no. 4, Article ID 046404, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
282. J. Zhong and H.-B. Schüttler, “Polaronic anharmonicity in the Holstein-Hubbard model,” Physical Review Letters, vol. 69, no. 10, pp. 1600–1603, 1992. View at Publisher · View at Google Scholar · View at Scopus
283. H. Fehske, H. Röder, G. Wellein, and A. Mistriotis, “Hole-polaron formation in the two-dimensional Holstein t-J model: a variational Lanczos study,” Physical Review B, vol. 51, no. 23, pp. 16582–16593, 1995. View at Publisher · View at Google Scholar · View at Scopus
284. G. Wellein, H. Röder, and H. Fehske, “Polarons and bipolarons in strongly interacting electron-phonon systems,” Physical Review B, vol. 53, no. 15, pp. 9666–9675, 1996. View at Scopus
285. H. Matsueda, T. Tohyama, and S. Maekawa, “Electron-phonon coupling and spin-charge separation in one-dimensional Mott insulators,” Physical Review B, vol. 74, no. 24, Article ID 241103, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
286. H. Matsueda, A. Ando, T. Tohyama, and S. Maekawa, “Enhancement of phonon effects in photoexcited states of one-dimensional Mott insulators,” Physical Review B, vol. 77, no. 19, Article ID 193112, 4 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
287. T. Hanaguri, C. Lupien, Y. Kohsaka, et al., “A ‘checkerboard’ electronic crystal state in lightly hole-doped ${\text{Ca}}_{2-x}{\text{Na}}_x{\text{CuO}}_2{\text{Cl}}_2$,” Nature, vol. 430, no. 7003, pp. 1001–1005, 2004. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
288. Y. Kohsaka, C. Taylor, K. Fujita, et al., “An intrinsic bond-centered electronic glass with unidirectional domains in underdoped cuprates,” Science, vol. 315, no. 5817, pp. 1380–1385, 2007. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
289. S. H. Pan, J. P. O'Neal, R. L. Badzey, et al., “Microscopic electronic inhomogeneity in the high-$T_c$ superconductor ${\text{Bi}}_2{\text{Sr}}_2{\text{CaCu}}_2{\text{O}}_{8+x}$,” Nature, vol. 413, no. 6853, pp. 282–285, 2001. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus
290. P. M. Singer, A. W. Hunt, and T. Imai, “${}^{63}\text{C}\text{u}$ NQR evidence for spatial variation of hole concentration in ${\text{La}}_{2-x}{\text{Sr}}_x{\text{CuO}}_4$,” Physical Review Letters, vol. 88, no. 4, Article ID 047602, 4 pages, 2002. View at Scopus
291. N. Pavlenko and T. Kopp, “Electron-phonon coupling in a two-dimensional inhomogeneous electron gas: consequences for surface spectral properties,” Journal of Physics: Condensed Matter, vol. 20, no. 39, Article ID 395203, 7 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
292. N. Pavlenko and T. Kopp, “Interface controlled electronic charge inhomogeneities in correlated heterostructures,” Physical Review Letters, vol. 97, no. 18, Article ID 187001, 4 pages, 2006. View at Publisher · View at Google Scholar · View at Scopus
293. J. P. Hague, P. E. Kornilovitch, and A. S. Alexandrov, “Trapping of lattice polarons by impurities,” Physical Review B, vol. 78, no. 9, Article ID 092302, 4 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
294. S. M. Girvin and M. Jonson, “Dynamical electron-phonon interaction and conductivity in strongly disordered metal alloys,” Physical Review B, vol. 22, no. 8, pp. 3583–3597, 1980. View at Publisher · View at Google Scholar · View at Scopus
295. F. X. Bronold and H. Fehske, “Anderson localization of polaron states,” Physical Review B, vol. 66, no. 7, Article ID 073102, 4 pages, 2002. View at Scopus
296. F. X. Bronold, A. Alvermann, and H. Fehske, “Anderson localization in strongly coupled disordered electron-phonon systems,” Philosophical Magazine, vol. 84, no. 7, pp. 673–704, 2004. View at Publisher · View at Google Scholar · View at Scopus
297. A. Alvermann and H. Fehske, “Chebyshev approach to quantum systems coupled to a bath,” Physical Review B, vol. 77, no. 4, Article ID 045125, 17 pages, 2008. View at Publisher · View at Google Scholar · View at Scopus
298. M. Berciu, A. S. Mishchenko, and N. Nagaosa, “Holstein polaron in the presence of disorder,” http://arxiv.org/abs/0906.1233.
299. I. I. Mazin, E. G. Maksimov, S. N. Rashkeev, S. Y. Savrasov, and Y. A. Uspenskii, “Optical properties of metal oxides of the La₂CuO₄ type,” Pisma Zh. Ehksp. Teor. Fiz, vol. 47, p. 94, 1987, English translation in Soviet Physics-JETP Letters, vol. 47, p. 113, 1988.
300. E. G. Maksimov, S. N. Rashkeev, S. Yu. Savrasov, and Yu. A. Uspenskii, “Microscopic studies of the optical spectra of ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Physical Review Letters, vol. 63, no. 17, pp. 1880–1883, 1989. View at Publisher · View at Google Scholar · View at Scopus
301. S. N. Rashkeev, et al., “Electronic structure and optical properties of YBa₂Cu₃O₇,” Zhurnal Éksperimental'noĭ i Teoreticheskoĭ Fiziki, vol. 97, p. 1688, 1990, translated in Soviet Physics. JETP, vol. 70, p. 952, 1990.
302. S. V. Shulga, O. V. Dolgov, and E. G. Maksimov, “Electronic states and optical spectra of HTSC with electron-phonon coupling,” Physica C, vol. 178, no. 4–6, pp. 266–274, 1991. View at Scopus
303. E. G. Maksimov, H. J. Kaufmann, E. K. H. Salje, Y. De Wilde, N. Bontemps, and J. P. Contour, “Comparative analysis of the optical spectra of ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Solid State Communications, vol. 112, no. 8, pp. 449–454, 1999. View at Publisher · View at Google Scholar · View at Scopus
304. T. Jarlborg, “Weak screening of high frequency phonons and superconductivity in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Solid State Communications, vol. 71, no. 8, pp. 669–671, 1989. View at Scopus
305. R. E. Cohen, W. E. Pickett, and H. Krakauer, “Theoretical determination of strong electron-phonon coupling in ${\text{YBa}}_2{\text{Cu}}_3{\text{O}}_7$,” Physical Review Letters, vol. 64, no. 21, pp. 2575–2578, 1990. View at Publisher · View at Google Scholar · View at Scopus
306. R. Zeyher, “Improtance of long-range electron-phonon coupling in high-$T_c$ superconductors,” Zeitschrift für Physik B, vol. 80, no. 2, pp. 187–192, 1990. View at Publisher · View at Google Scholar · View at Scopus
307. H. Krakauer, W. E. Pickett, and R. E. Cohen, “Large calculated electron-phonon interactions in ${\text{La}}_{2-x}{M}_x{\text{CuO}}_4$,” Physical Review B, vol. 47, no. 2, pp. 1002–1015, 1993. View at Publisher · View at Google Scholar · View at Scopus
308. E. G. Maksimov, “High-temperature superconductivity: the current state,” Physics-Uspekhi, vol. 43, no. 10, pp. 965–990, 2000, Russian translation in Uspekhi Fizicheskikh Nauk, vol. 170, p. 1033, 2000. View at Publisher · View at Google Scholar · View at Scopus
309. O. V. Dolgov and S. V. Shulga, “Analysis of intermediate boson spectra from FIR data for HTSC and heavy fermion systems,” Journal of Superconductivity, vol. 8, no. 5, pp. 611–612, 1995. View at Publisher · View at Google Scholar · View at Scopus
310. J. P. Carbotte, E. Schachinger, and D. N. Basov, “Coupling strength of charge carriers to spin fluctuations in high-temperature superconductors,” Nature, vol. 401, no. 6751, pp. 354–356, 1999. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus