Advances in Condensed Matter Physics

Volume 2010, Article ID 627452, 6 pages

http://dx.doi.org/10.1155/2010/627452

Research Article

## Phonons in Lattice and Structural Dynamics

Department of Chemistry, Chalmers University of Technology, 412 96 Göteborg, Sweden

Received 2 June 2009; Accepted 14 September 2009

Academic Editor: Dragan Mihailovic

Copyright © 2010 Sven Larsson. 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

- A. F. Hebard, M. J. Rosseinsky, R. C. Haddon et al., “Superconductivity at 18 K in potassium-doped ${\text{C}}_{60}$,”
*Nature*, vol. 350, no. 6319, pp. 600–601, 1991. View at Google Scholar · View at Scopus - M. J. Rosseinsky, A. P. Ramirez, S. H. Glarum et al., “Superconductivity at 28 K in ${\text{Rb}}_{\text{x}}{\text{C}}_{60}$,”
*Physical Review Letters*, vol. 66, no. 21, pp. 2830–2832, 1991. View at Publisher · View at Google Scholar - R. M. Fleming, A. P. Ramirez, M. J. Rosseinsky et al., “Relation of structure and superconducting transition temperatures in ${\text{A}}_{3}{\text{C}}_{60}$,”
*Nature*, vol. 352, no. 6338, pp. 787–788, 1991. View at Publisher · View at Google Scholar · View at Scopus - L. S. Cox and R. A. Laskey, “DNA replication occurs at discrete sites in pseudonuclei assembled from purified DNA in vitro,”
*Cell*, vol. 66, no. 2, pp. 271–275, 1991. View at Publisher · View at Google Scholar · View at Scopus - R. C. Haddon, A. F. Hebard, M. J. Rosseinsky et al., “Conducting films of ${\text{C}}_{60}$ and ${\text{C}}_{70}$ by alkali-metal doping,”
*Nature*, vol. 350, no. 6316, pp. 320–322, 1991. View at Publisher · View at Google Scholar · View at Scopus - T. Yildirim, O. Zhou, J. E. Fischer et al., “Intercalation of sodium heteroclusters into the ${\text{C}}_{60}$ lattice,”
*Nature*, vol. 360, no. 6404, pp. 568–571, 1992. View at Publisher · View at Google Scholar · View at Scopus - K. Prassides, C. Christides, I. M. Thomas et al., “Crystal structure, bonding, and phase transition of the superconducting ${\text{Na}}_{2}{\text{CsC}}_{60}$ fulleride,”
*Science*, vol. 263, no. 5149, pp. 950–954, 1994. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus - Y. Maniwa, T. Saito, A. Ohi et al., “Electronic states and superconductivity in alkali-intercalated fullerides: ${}^{13}\text{C}\text{-NMR}$ study in ${\text{Na}}_{2}{\text{RbC}}_{60}$, ${\text{Na}}_{2}{\text{CsC}}_{60}$, ${\text{K}}_{3}{\text{C}}_{60}$, ${\text{K}}_{2}{\text{RbC}}_{60}$, ${\text{K}}_{2}{\text{CsC}}_{60}$, ${\text{KRbCsC}}_{60}$, ${\text{Rb}}_{2}{\text{CsC}}_{60}$ and ${\text{RbCs}}_{2}{\text{C}}_{60}$,”
*Journal of the Physical Society of Japan*, vol. 52, pp. 1139–1148, 1994. View at Google Scholar - T. T. M. Palstra, O. Zhou, Y. Iwasa, P. E. Sulewski, R. M. Fleming, and B. R. Zegarski, “Superconductivity at 40 K in cesium doped ${\text{C}}_{60}$,”
*Solid State Communications*, vol. 93, no. 4, pp. 327–330, 1995. View at Publisher · View at Google Scholar · View at Scopus - A. Y. Ganin, Y. Takabayashi, Y. Z. Khimyak et al., “Bulk superconductivity at 38 K in a molecular system,”
*Nature Materials*, vol. 7, no. 5, pp. 367–371, 2008. View at Publisher · View at Google Scholar · View at PubMed - Y. Takabayashi, A. Y. Ganin, P. Jeglič et al., “The disorder-free non-BCS superconductor ${\text{Cs}}_{3}{\text{C}}_{60}$ emerges from an antiferromagnetic insulator parent state,”
*Science*, vol. 323, no. 5921, pp. 1585–1590, 2009. View at Publisher · View at Google Scholar · View at PubMed - O. Gunnarsson, “Superconductivity in fullerides,”
*Reviews of Modern Physics*, vol. 69, no. 2, pp. 575–606, 1997. View at Publisher · View at Google Scholar · View at Scopus - M. J. Rosseinsky, “Recent developments in the chemistry and physics of metal fullerides,”
*Chemistry of Materials*, vol. 10, no. 10, pp. 2665–2685, 1998. View at Publisher · View at Google Scholar · View at Scopus - S. Margadonna and K. Prassides, “Recent advances in fullerene superconductivity,”
*Journal of Solid State Chemistry*, vol. 168, no. 2, pp. 639–652, 2002. View at Publisher · View at Google Scholar - Y. Iwasa and T. Takenobu, “Superconductivity, Mott-Hubbard states, and molecular orbital order in intercalated fullerides,”
*Journal of Physics: Condensed Matter*, vol. 15, no. 13, pp. R495–R519, 2003. View at Publisher · View at Google Scholar - M. J. Rosseinsky, D. W. Murphy, R. M. Fleming, and O. Zhou, “Intercalation of ammonia into ${\text{K}}_{3}{\text{C}}_{60}$,”
*Nature*, vol. 364, no. 6436, pp. 425–427, 1993. View at Publisher · View at Google Scholar · View at Scopus - O. Zhou, R. M. Fleming, D. W. Murphy et al., “Increased transition temperature in superconducting ${\text{Na}}_{2}{\text{CsC}}_{60}$ by intercalation of ammonia,”
*Nature*, vol. 362, no. 6419, pp. 433–435, 1993. View at Publisher · View at Google Scholar · View at Scopus - O. Zhou, T. T. M. Palstra, Y. Iwasa et al., “Structural and electronic properties of ${({\text{NH}}_{3})}_{x}{\text{K}}_{3}{\text{C}}_{60}$,”
*Physical Review B*, vol. 52, no. 1, pp. 483–489, 1995. View at Publisher · View at Google Scholar - S. Larsson, “Localization of electrons and excitations,”
*Chemical Physics*, vol. 326, no. 1, pp. 115–122, 2006. View at Publisher · View at Google Scholar · View at Scopus - K. Prassides, P. N. Schatz, K. Y. Wong, and P. Day, “Vibronic coupling model for mixed-valence compounds. Extension to two-site two-electron systems,”
*Journal of Physical Chemistry*, vol. 90, no. 22, pp. 5588–5597, 1986. View at Google Scholar · View at Scopus - K. Prassides and P. N. Schatz, “Vibronic coupling model for mixed-valence compounds. Extension to the multimode case,”
*Journal of Physical Chemistry*, vol. 93, no. 1, pp. 83–89, 1989. View at Publisher · View at Google Scholar · View at Scopus - S. Larsson, “Electronic structure of planar superconducting systems: from finite to extended model,”
*Chemical Physics*, vol. 236, no. 1–3, pp. 133–150, 1998. View at Publisher · View at Google Scholar · View at Scopus - G. Sparn, J. D. Thompson, S.-M. Huang et al., “Pressure dependence of superconductivity in single-phase ${\text{K}}_{3}{\text{C}}_{60}$,”
*Science*, vol. 252, no. 5014, pp. 1829–1831, 1991. View at Publisher · View at Google Scholar · View at PubMed · View at Scopus - J. E. Schirber, L. Hansen, B. Morosin, J. E. Fischer, J. D. Jorgensen, and G. H. Kwei, “Effect of pressure on the superconducting primitive cubic and “polymeric” phases of ${\text{Na}}_{2}{\text{CsC}}_{60}$,”
*Physica C*, vol. 260, no. 3-4, pp. 173–176, 1996. View at Google Scholar · View at Scopus - J. Diederichs, J. S. Schilling, K. W. Herwig, and W. B. Yelon, “Dependence of the superconducting transition temperature and lattice parameter on hydrostatic pressure for ${\text{Rb}}_{3}{\text{C}}_{60}$,”
*Journal of Physics and Chemistry of Solids*, vol. 58, no. 1, pp. 123–132, 1997. View at Publisher · View at Google Scholar · View at Scopus - P. Bhyrappa, P. Paul, J. Stinchcombe, P. D. W. Boyd, and C. A. Reed, “Synthesis and electronic characterization of discrete buckminsterfulleride salts: ${\text{C}}_{60}{}^{2-}$ and ${\text{C}}_{60}{}^{3-}$,”
*Journal of the American Chemical Society*, vol. 115, no. 23, pp. 11004–11005, 1993. View at Publisher · View at Google Scholar · View at Scopus - P. C. Trulove, R. T. Carlin, G. R. Eaton, and S. S. Eaton, “Determination of the singlet-triplet energy separation for ${\text{C}}_{60}{}^{2-}$ in DMSO by electron paramagnetic resonance,”
*Journal of the American Chemical Society*, vol. 117, no. 23, pp. 6265–6272, 1995. View at Publisher · View at Google Scholar · View at Scopus - S. Nakazawa, K. Sato, D. Shiomi et al., “Electronic and molecular structures of ${\text{C}}_{60}$-based polyanionic high-spin molecular clusters: direct spin identification and electron spin transient nutation spectroscopy for high-spin chemistry,”
*Inorganica Chimica Acta*, vol. 361, no. 14-15, pp. 4031–4037, 2008. View at Publisher · View at Google Scholar - S. Larsson, “Electron pair transfer in ${\text{A}}_{3}{\text{C}}_{60}$,” in
*Chemical Physics of Intercalation II*, P. Bernier, J. E. Fischer, S. Roth, and S. A. Solin, Eds., vol. 305 of*NATO Science Series*, pp. 227–231, Plenum Press, New York, NY, USA, 1993. View at Google Scholar - S. Larsson and L. Rodríguez Monge, “Correlation and pairing in $\text{C}[{\text{stack}}_{60}{}^{2n-}]$ ions. Superconductivity of alkali and alkaline earth compounds of ${\text{C}}_{60}$,”
*International Journal of Quantum Chemistry*, vol. 27, pp. 655–665, 1993. View at Publisher · View at Google Scholar - F. Negri, G. Orlandi, and F. Zerbetto, “Low-lying electronic excited states of buckminsterfullerene anions,”
*Journal of the American Chemical Society*, vol. 114, no. 8, pp. 2909–2913, 1992. View at Publisher · View at Google Scholar · View at Scopus - G. Duškesas and S. Larsson, “Bond lengths and reorganization energies in fullerenes and their ions,”
*Theoretical Chemistry Accounts*, vol. 97, no. 1–4, pp. 110–118, 1997. View at Google Scholar · View at Scopus - 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 - T. Holstein, “Studies of polaron motion—part I: the molecular-crystal model,”
*Annals of Physics*, vol. 8, no. 3, pp. 325–342, 1959, reprinted:*Annals of Physics*, vol. 281, pp. 706–724, 2000. View at Publisher · View at Google Scholar - T. Holstein, “Studies of polaron motion—part II: the “small” polaron,”
*Annals of Physics*, vol. 8, no. 3, pp. 343–389, 1959. View at Publisher · View at Google Scholar - K. Prassides, S. Margadonna, D. Arcon, A. Lappas, H. Shimoda, and Y. Iwasa, “Magnetic ordering in the ammoniated fulleride $({\text{ND}}_{3}){\text{K}}_{3}{\text{C}}_{60}$,”
*Journal of the American Chemical Society*, vol. 121, no. 48, pp. 11227–11228, 1999. View at Publisher · View at Google Scholar - J. Arvanitidis, K. Papagelis, T. Takenobu et al., “Antiferromagnetic ordering in the expanded $({\text{NH}}_{3}){\text{Rb}}_{3}{\text{C}}_{60}$ fulleride,”
*Physica B*, vol. 326, no. 1–4, pp. 572–576, 2003. View at Publisher · View at Google Scholar · View at Scopus - R. L. Martin and J. P. Ritchie, “Coulomb and exchange interactions in ${\text{C}}_{60}{}^{n-}$,”
*Physical Review B*, vol. 48, no. 7, pp. 4845–4849, 1993. View at Publisher · View at Google Scholar - R. W. Lof, M. A. van Veenendaal, B. Koopmans, H. T. Jonkman, and G. A. Sawatzky, “Band gap, excitons, and Coulomb interaction in solid ${\text{C}}_{60}$,”
*Physical Review Letters*, vol. 68, no. 26, pp. 3924–3927, 1992. View at Publisher · View at Google Scholar · View at Scopus - P. A. Brühweiler, A. J. Maxwell, A. Nilsson, N. Mårtensson, and O. Gunnarsson, “Auger and photoelectron study of the Hubbard $U$ in ${\text{C}}_{60}$
, ${\text{K}}_{3}{\text{C}}_{60}$, and ${\text{K}}_{6}{\text{C}}_{60}$,”
*Physical Review B*, vol. 48, no. 24, pp. 18296–18299, 1993. View at Publisher · View at Google Scholar - O. Gunnarsson, E. Koch, and R. M. Martin, “Mott transition in degenerate Hubbard models: application to doped fullerenes,”
*Physical Review B*, vol. 54, no. 16, pp. R11026–R11029, 1996. View at Google Scholar · View at Scopus - M. R. Pederson and A. A. Quong, “Polarizabilities, charge states, and vibrational modes of isolated fullerene molecules,”
*Physical Review B*, vol. 46, no. 20, pp. 13584–13591, 1992. View at Publisher · View at Google Scholar - V. P. Antropov, O. Gunnarsson, and O. Jepsen, “Coulomb integrals and model Hamiltonians for ${\text{C}}_{60}$,”
*Physical Review B*, vol. 46, no. 20, pp. 13647–13650, 1992. View at Publisher · View at Google Scholar - S. Larsson, A. Klimkāns, L. Rodríguez-Monge, and G. Duškesas, “Reorganization energies in organic $\pi $ systems,”
*Journal of Molecular Structure: Theochem*, vol. 425, no. 1-2, pp. 155–159, 1998. View at Publisher · View at Google Scholar · View at Scopus - M. Knupfer and J. Fink, “Mott-Hubbard-like behavior of the energy gap of ${\text{A}}_{4}{\text{C}}_{60}(\text{A}=\text{Na,K,Rb,Cs})$ and ${\text{Na}}_{10}{\text{C}}_{60}$,”
*Physical Review Letters*, vol. 79, no. 14, pp. 2714–2717, 1997. View at Publisher · View at Google Scholar · View at Scopus - Y. Iwasa, K. Tanaka, T. Yasuda, T. Koda, and S. Koda, “Metallic reflection spectra of ${\text{K}}_{3}{\text{C}}_{60}$,”
*Physical Review Letters*, vol. 69, no. 15, pp. 2284–2287, 1992. View at Publisher · View at Google Scholar - E. Sohmen, J. Fink, and W. Krätchmer, “Electronic structure studies of undoped and $n$-type doped fullerene ${\text{C}}_{60}$,”
*Europhysics Letters*, vol. 17, pp. 51–55, 1992. View at Publisher · View at Google Scholar - A. Wachowiak, R. Yamachika, K. H. Khoo et al., “Applied physics: visualization of the molecular Jahn-Teller effect in an insulating ${\text{K}}_{4}{\text{C}}_{60}$ monolayer,”
*Science*, vol. 310, no. 5747, pp. 468–470, 2005. View at Publisher · View at Google Scholar · View at PubMed - J. N. O'Shea, “Molecular orbitals tell the story,”
*Science*, vol. 310, no. 5747, pp. 453–454, 2005. View at Publisher · View at Google Scholar · View at PubMed - M. Capone, M. Fabrizio, C. Castellani, and E. Tosatti, “Colloquiumml: modeling the unconventional superconducting properties of expanded ${\text{A}}_{3}{\text{C}}_{60}$ fullerides,”
*Reviews of Modern Physics*, vol. 81, no. 2, pp. 943–958, 2009. View at Publisher · View at Google Scholar - G. R. Darling, A. Y. Ganin, M. J. Rosseinsky, Y. Takabayashi, and K. Prassides, “Intermolecular overlap geometry gives two classes of fulleride superconductor: electronic structure of 38 K ${T}_{c}{\text{CS}}_{3}{\text{C}}_{60}$,”
*Physical Review Letters*, vol. 101, no. 13, Article ID 136404, 2008. View at Publisher · View at Google Scholar · View at Scopus - S. Larsson, accepted for publication,
*International Journal of Quantum Chemistry*.