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Advances in Condensed Matter Physics
Volume 2015, Article ID 141263, 5 pages
http://dx.doi.org/10.1155/2015/141263
Research Article

Superconductivity, Antiferromagnetism, and Kinetic Correlation in Strongly Correlated Electron Systems

Electronics and Photonics Research Institute, National Institute of Advanced Industrial Science and Technology, 1-1-1 Umezono, Tsukuba, Ibaraki 305-8568, Japan

Received 18 August 2015; Accepted 28 September 2015

Academic Editor: Artur P. Durajski

Copyright © 2015 Takashi Yanagisawa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. K. H. Bennemann and J. B. Ketterson, Eds., The Physics of Superconductors, Volume I and Volume II, Springer, Berlin, Germany, 2003.
  2. V. J. Emery, “Theory of high-Tc superconductivity in oxides,” Physical Review Letters, vol. 58, no. 26, p. 2794, 1987. View at Publisher · View at Google Scholar
  3. J. E. Hirsch, E. Loh Jr., D. J. Scalapino, and S. Tang, “Pairing interaction in CuO clusters,” Physical Review B, vol. 39, no. 1, article 243, 1989. View at Publisher · View at Google Scholar · View at Scopus
  4. R. T. Scalettar, D. J. Scalapino, R. L. Sugar, and S. R. White, “Antiferromagnetic, charge-transfer, and pairing correlations in the three-band Hubbard model,” Physical Review B, vol. 44, no. 2, pp. 770–781, 1991. View at Publisher · View at Google Scholar · View at Scopus
  5. C. Weber, A. Läuchli, F. Mila, and T. Giamarchi, “Orbital currents in extended hubbard models of high-Tc cuprate superconductors,” Physical Review Letters, vol. 102, no. 1, Article ID 017005, 2009. View at Publisher · View at Google Scholar
  6. B. Lau, M. Berciu, and G. A. Sawatzky, “High-spin polaron in lightly doped CuO2 planes,” Physical Review Letters, vol. 106, no. 3, Article ID 036401, 2011. View at Publisher · View at Google Scholar
  7. T. Yanagisawa, S. Koike, and K. Yamaji, “Ground state of the three-band Hubbard model,” Physical Review B, vol. 64, no. 18, Article ID 184509, 2001. View at Publisher · View at Google Scholar
  8. T. Yanagisawa, M. Miyazaki, S. Koikegami, S. Koike, and K. Yamaji, “Lattice distortions, incommensurability, and stripes in the electronic model for high-Tc cuprates,” Physical Review B, vol. 67, no. 13, Article ID 132408, 2003. View at Publisher · View at Google Scholar
  9. T. Yanagisawa, M. Miyazaki, and K. Yamaji, “Incommensurate antiferromagnetism coexisting with superconductivity in two-dimensional d–p model,” Journal of the Physical Society of Japan, vol. 78, no. 1, Article ID 013706, 2009. View at Publisher · View at Google Scholar
  10. J. Hubbard, “Electron correlations in narrow energy bands,” Proceedings of the Royal Society of London Series A: Mathematical and Physical, vol. 276, no. 1365, pp. 238–257, 1963. View at Publisher · View at Google Scholar
  11. J. E. Hirsch, “Two-dimensional Hubbard model: numerical simulation study,” Physical Review B, vol. 31, no. 7, pp. 4403–4419, 1985. View at Publisher · View at Google Scholar
  12. H. Yokoyama and H. Shiba, “Variational Monte-Carlo studies of superconductivity in strongly correlated electron systems,” Journal of the Physical Society of Japan, vol. 57, no. 7, pp. 2482–2493, 1988. View at Publisher · View at Google Scholar
  13. T. Yanagisawa and Y. Shimoi, “Exact results in strongly correlated electrons—spin-reflection positivity and the perron-frobenius theorem,” International Journal of Modern Physics B, vol. 10, no. 25, pp. 3383–3450, 1996. View at Publisher · View at Google Scholar
  14. K. Yamaji, T. Yanagisawa, and S. Koike, “Bulk limit of superconducting condensation energy in 2D Hubbard model,” Physica B: Condensed Matter, vol. 284–288, part 1, pp. 415–416, 2000. View at Publisher · View at Google Scholar
  15. T. Yanagisawa, “Kosterlitz–thouless transition in two-dimensional hubbard model evidenced from quantum monte carlo calculations of susceptibilities,” Journal of the Physical Society of Japan, vol. 79, no. 6, Article ID 063708, 4 pages, 2010. View at Publisher · View at Google Scholar
  16. N. Bulut, “dx2-y2 superconductivity and the Hubbard model,” Advanced in Physics, vol. 51, no. 7, pp. 1587–1667, 2002. View at Publisher · View at Google Scholar
  17. T. Aimi and M. Imada, “Does simple two-dimensional hubbard model account for high-Tc superconductivity in copper oxides?” Journal of the Physical Society of Japan, vol. 76, no. 11, Article ID 113708, 2007. View at Publisher · View at Google Scholar
  18. R. M. Noack, N. Bulut, D. J. Scalapino, and M. G. Zacher, “Enhanced dx2-y2 pairing correlations in the two-leg Hubbard ladder,” Physical Review B, vol. 56, no. 12, article 7162, 1997. View at Publisher · View at Google Scholar · View at Scopus
  19. S. Koike, K. Yamaji, and T. Yanagisawa, “Effect of the medium-range transfer energies to the superconductivity in the two-chain Hubbard model,” Journal of the Physical Society of Japan, vol. 68, no. 5, pp. 1657–1663, 1999. View at Publisher · View at Google Scholar · View at Scopus
  20. K. Yamaji, Y. Shimoi, and T. Yanagisawa, “Superconductivity indications of the two-chain Hubbard model due to the two-band effect,” Physica C: Superconductivity and its applications, vol. 235–240, no. 4, pp. 2221–2222, 1994. View at Publisher · View at Google Scholar · View at Scopus
  21. T. Yanagisawa, Y. Shimoi, and K. Yamaji, “Superconducting phase of a two-chain Hubbard model,” Physical Review B, vol. 52, no. 6, pp. R3860–R3863, 1995. View at Publisher · View at Google Scholar · View at Scopus
  22. J. M. Tranquada, J. D. Axe, N. Ichikawa, Y. Nakamura, S. Uchida, and B. Nachumi, “Neutron-scattering study of stripe-phase order of holes and spins in La1.48Nd0.4Sr0.12CuO4,” Physical Review B, vol. 54, no. 10, pp. 7489–7499, 1996. View at Publisher · View at Google Scholar
  23. T. Suzuki, T. Goto, K. Chiba et al., “Observation of modulated magnetic long-range order in La1.88Sr0.12CuO4,” Physical Review B, vol. 57, no. 6, Article ID R3229, 1998. View at Publisher · View at Google Scholar
  24. K. Yamada, C. H. Lee, K. Kurahashi et al., “Doping dependence of the spatially modulated dynamical spin correlations and the superconducting-transition temperature in La2−xSrxCuO4,” Physical Review B, vol. 57, no. 10, pp. 6165–6172, 1998. View at Publisher · View at Google Scholar
  25. M. Arai, T. Nishijima, Y. Endoh et al., “Incommensurate spin dynamics of underdoped superconductor YBa2Cu3O6.7,” Physical Review Letters, vol. 83, no. 3, pp. 608–611, 1999. View at Publisher · View at Google Scholar
  26. H. A. Mook, P. Dai, F. Doǧan, and R. D. Hunt, “One-dimensional nature of the magnetic fluctuations in YBa2Cu3O6.6,” Nature, vol. 404, no. 6779, pp. 729–731, 2000. View at Publisher · View at Google Scholar · View at Scopus
  27. S. Wakimoto, R. J. Birgeneau, M. A. Kastner et al., “Direct observation of a one-dimensional static spin modulation in insulating La1.95Sr0.05Cuo4,” Physical Review B, vol. 61, article 3699, 2000. View at Publisher · View at Google Scholar
  28. A. Bianconi, N. L. Saini, A. Lanzara et al., “Determination of the local lattice distortions in the CuO2 plane of La1.85Sr0.15CuO4,” Physical Review Letters, vol. 76, no. 18, pp. 3412–3415, 1996. View at Publisher · View at Google Scholar
  29. A. Bianconi, “Quantum materials: Shape resonances in superstripes,” Nature Physics, vol. 9, no. 9, pp. 536–537, 2013. View at Publisher · View at Google Scholar · View at Scopus
  30. M. Miyazaki, T. Yanagisawa, and K. Yamaji, “Diagonal stripe states in the light-doping region in the two-dimensional Hubbard model,” Journal of the Physical Society of Japan, vol. 73, no. 7, pp. 1643–1646, 2004. View at Publisher · View at Google Scholar · View at Scopus
  31. M. Miyazaki, K. Yamaji, T. Yanagisawa, and R. Kadono, “Checkerboard states in the two-dimensional hubbard model with the Bi2212-type band,” Journal of the Physical Society of Japan, vol. 78, no. 4, Article ID 043706, 4 pages, 2009. View at Publisher · View at Google Scholar
  32. J. E. Hoffman, E. W. Hudson, K. M. Lang et al., “A four unit cell periodic pattern of quasi-particle states surrounding Vortex cores in Bi2Sr2CaCu2O8+δ,” Science, vol. 295, no. 5554, pp. 466–469, 2002. View at Publisher · View at Google Scholar
  33. W. D. Wise, M. C. Boyer, K. Chatterjee et al., “Charge-density-wave origin of cuprate checkerboard visualized by scanning tunnelling microscopy,” Nature Physics, vol. 4, pp. 696–699, 2008. View at Publisher · View at Google Scholar
  34. T. Hanaguri, C. Lupien, Y. Kohsaka et al., “A ‘checkerboard’ electronic crystal state in lightly hole-doped Ca2-xNaxCuO2Cl2,” Nature, vol. 430, no. 7003, pp. 1001–1005, 2004. View at Publisher · View at Google Scholar · View at Scopus
  35. H. Mukuda, M. Abe, Y. Araki et al., “Uniform mixing of high-Tc superconductivity and antiferromagnetism on a single CuO2 plane of a Hg-based five-layered cuprate,” Physical Review Letters, vol. 96, no. 8, Article ID 087001, 2006. View at Publisher · View at Google Scholar
  36. A. Crisan, Y. Tanaka, A. Iyo et al., “Coexistence of superconductivity and antiferromagnetism in HgBa2Ca4Cu5Oy: multiharmonic susceptibility and vortex dynamics study,” Physical Review B, vol. 76, no. 21, Article ID 212508, 4 pages, 2007. View at Publisher · View at Google Scholar
  37. T. Yanagisawa, S. Koike, and K. Yamaji, “Off-diagonal wave function monte carlo studies of hubbard nodel I,” Journal of the Physical Society of Japan, vol. 67, no. 11, pp. 3867–3874, 1998. View at Publisher · View at Google Scholar · View at Scopus
  38. T. Yanagisawa, S. Koike, and K. Yamaji, “d-Wave state with multiplicative correlation factors for the Hubbard model,” Journal of the Physical Society of Japan, vol. 68, no. 11, pp. 3608–3614, 1999. View at Publisher · View at Google Scholar · View at Scopus
  39. T. Yanagisawa, M. Miyazaki, and K. Yamaji, “Correlated-electron systems and high-temperature superconductivity,” Journal of Modern Physics, vol. 4, pp. 33–64, 2013. View at Publisher · View at Google Scholar
  40. T. Yanagisawa, “Enhanced pair correlation functions in the two-dimensional Hubbard model,” New Journal of Physics, vol. 15, no. 3, Article ID 033012, 2013. View at Publisher · View at Google Scholar
  41. H. Yokoyama, M. Ogata, and Y. Tanaka, “Mott transitions and d-wave superconductivity in half-filled Hubbard model on square lattice with geometric frustration,” Journal of the Physical Society of Japan, vol. 75, no. 11, Article ID 114706, 2006. View at Publisher · View at Google Scholar
  42. T. Nakanishi, K. Yamaji, and T. Yanagisawa, “Variational Monte Carlo indications of d-wave superconductivity in the two-dimensional Hubbard model,” Journal of the Physical Society of Japan, vol. 66, no. 2, pp. 294–297, 1997. View at Publisher · View at Google Scholar
  43. K. Yamaji, T. Yanagisawa, T. Nakanishi, and S. Koike, “Variational Monte Carlo study on the superconductivity in the two-dimensional Hubbard model,” Physica C: Superconductivity, vol. 304, no. 3-4, pp. 225–238, 1998. View at Publisher · View at Google Scholar · View at Scopus
  44. T. Yanagisawa and M. Miyazaki, “Mott transition in cuprate high-temperature superconductors,” EPL, vol. 107, no. 2, Article ID 27004, 2014. View at Publisher · View at Google Scholar · View at Scopus
  45. S. Zhang, J. Carlson, and J. E. Gubernatis, “Constrained path Monte Carlo method for fermion ground states,” Physical Review B—Condensed Matter and Materials Physics, vol. 55, no. 12, article 7464, 1997. View at Publisher · View at Google Scholar · View at Scopus
  46. Y. Tanaka, A. Iyo, S. Itoh, K. Tokiwa, T. Nishio, and T. Yanagisawa, “Experimental observation of a possible first-order phase transition below the superconducting transition temperature in the multilayer cuprate superconductor HgBa2Ca4Cu5Oy,” Journal of the Physical Society of Japan, vol. 83, no. 7, Article ID 074705, 2014. View at Publisher · View at Google Scholar
  47. V. Stanev and Z. Tesanovic, “Three-band superconductivity and the order parameter that breaks time-reversal symmetry,” Physical Review B, vol. 81, Article ID 134522, 2010. View at Publisher · View at Google Scholar
  48. Y. Tanaka and T. Yanagisawa, “Chiral ground state in three-band superconductors,” Journal of the Physical Society of Japan, vol. 79, Article ID 114706, 2010. View at Google Scholar · View at Scopus
  49. Y. Tanaka and T. Yanagisawa, “Chiral state in three-gap superconductors,” Solid State Communications, vol. 150, no. 41-42, pp. 1980–1982, 2010. View at Publisher · View at Google Scholar · View at Scopus
  50. T. Yanagisawa, Y. Tanaka, I. Hase, and K. Yamaji, “Vortices and chirality in multi-band superconductors,” Journal of the Physical Society of Japan, vol. 81, no. 2, Article ID 024712, 2012. View at Publisher · View at Google Scholar
  51. T. Yanagisawa and I. Hase, “Massless modes and Abelian Gauge fields in multi-band superconductors,” Journal of the Physical Society of Japan, vol. 82, no. 12, Article ID 124704, 2013. View at Publisher · View at Google Scholar
  52. Y. S. Yerin and A. N. Omelyanchouk, “Frustration phenomena in Josephson point contacts between single-band and three-band superconductors,” Low Temperature Physics, vol. 40, no. 10, article 943, 2014. View at Publisher · View at Google Scholar · View at Scopus
  53. J. H. Kim and Z. Tešanović, “Effects of strong Coulomb correlations on the phonon-mediated superconductivity: a model inspired by Copper oxides,” Physical Review Letters, vol. 71, no. 25, pp. 4218–4221, 1993. View at Publisher · View at Google Scholar
  54. M. L. Kulić, “Importance of the electron-phonon interaction with the forward scattering peak for superconducting pairing in cuprates,” Journal of Superconductivity and Novel Magnetism, vol. 19, no. 3, pp. 213–249, 2006. View at Publisher · View at Google Scholar
  55. R. Szczęśniak, “Pairing mechanism for the high-TC superconductivity: symmetries and thermodynamic properties,” PLoS ONE, vol. 7, no. 4, Article ID e31873, 2012. View at Publisher · View at Google Scholar
  56. R. Szczesniak and A. P. Durajski, “Anisotropy of the gap parameter in the hole-doped cuprates,” Superconductor Science and Technology, vol. 27, no. 12, Article ID 125004, 2014. View at Publisher · View at Google Scholar