Existence of an intermediate metallic phase at the SDW-CDW crossover region in the one-dimensional Holstein-hubbard model at half-filling

Advances in Condensed Matter Physics

Volumn 2010, Issue , 2010, Pages

  Chatterjee, Ashok ^a  

^a UNIVERSITY OF HYDERABAD   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77951465500     PISSN: 16878108     EISSN: 16878124     Source Type: Journal    
DOI: 10.1155/2010/350787     Document Type: Review

References (72)

1. Bednorz J. G., Mller K. A., Possible high Tc superconductivity in the BaLaCuO system Zeitschrift fr Physik B 1986 64 2 189 193
2. Halley J. W., Theories of High Temperature Superconductivity 1988 Harlow, UK Addison Wesley
3. Jarlborg T., Band structure and electron-phonon coupling in the La1-xSrCuO4 superconductors Helvetica Physica Acta 1988 61 421
4. Cohen R. E., Pickett W. E., Krakauer H., Papaconstan-topoulos D. A., High Tc superconductors as ionic metals and the role of phonons in high Tc superconductivity Phase Transitions 1990 22 14 167 183
5. Cohen R. E., Pickett W. E., Krakauer H., Theoretical determination of strong electron-phonon coupling in YBa2Cu3O7 Physical Review Letters 1990 64 21 2575 2578
6. Rodriguez C. O., Liechtenstein A. I., Mazin I. I., Jepsen O., Andersen O. K., Methfessol M., Optical near-zone-center phonons and their interaction with electrons in YBa2Cu3O7: results of the local-density approximation Physical Review B 1990 42 4 2692 2695
7. Zeyher R., Improtance of long-range electron-phonon coupling in high- Tc superconductors Zeitschrift fr Physik B 1990 80 2 187 192
8. Chakraverty B. K., Feinberg D., Hang Z., Avignon M., Squeezed bipolaronic states and high temperature superconductivity in BaLaCuO systems Solid State Communications 1987 64 8 1147 1151 (Pubitemid 18579099)
9. Emin D., Formation, motion, and high-temperature superconductivity of large bipolarons Physical Review Letters 1989 62 13 1544 1547
10. Emin D., Hillery M. S., Formation of a large singlet bipolaron: application to high-temperature bipolaronic superconductivity Physical Review B 1989 39 10 6575 6593
11. Ranninger J., Bar-Yam Y., Egami T., Mustre de Leon J., Bishop A. R., Proceedings of the Conference on Lattice Effects in High Tc Superconductors 1992 389
12. Sil S., Chatterjee A., Multi-dimensional Frhlich bipolaron and dimensional scaling International Journal of Modern Physics B 1990 4 11-12 1879 1888
13. Sil S., Chatterjee A., Stability of large optical singlet bipolarons, many-particle effects and high temperature superconductivity Modern Physics Letters B 1992 6 15 959 966
14. Hardy J. R., Hocken J. W., Possible origins of high- Tc superconductivity Physical Review Letters 1988 60 21 2191 2193
15. Alexandrov A. S., Mott N. F., Bipolarons Reports on Progress in Physics 1994 57 12 1197 1288
16. Micnas R., Ranninger J., Robaszkiewicz S., Superconductivity in narrow-band systems with local nonretarded attractive interactions Reviews of Modern Physics 1990 62 1 113 171
17. Mills A. J., Littlewood P. B., Shraiman B. I., Double exchange alone does not explain the resistivity of La1-xSrxMnO3 Physical Review Letters 1995 74 25 5144 5147
18. Kim K. H., Gu J. Y., Choi H. S., Park G. W., Noh T. W., Frequency shifts of the internal phonon modes in La0.7Ca0.3Mno3 Physical Review Letters 1996 77 9 1877 1880
19. Sharma R. P., Rehn L. E., Baldo P. M., Liu J. Z., Direct evidence of anomalous Cu-O vibrational modes near Tc in ErBa2Cu3O7- Physical Review Letters 1989 62 24 2869 2872
20. Sharma R. P., Rehn L. E., Baldo P. M., Liu J. Z., Shift of phonon anomaly with Tc observed in (Y,Er) Ba2Cu3O7 - by ion channeling Physical Review B 1989 40 16 11396 11399
21. Arai M., Yamada K., Hidaka Y., Anomaly of phonon state of superconducting YBa2Cu3O7 studied by inelastic neutron scattering Physical Review Letters 1992 69 2 359 362
22. Foster C. M., Heeger A. J., Kim Y. H., Stucky G., Herron N., Photogenerated carriers in La2CuO4, YBa2Cu3O7- and TI2 Ba2Ca(1-x)GdxCu2O8: polarizability-induced pairing of polarons Synthetic Metals 1989 33 2 171 183
23. Mihailovi D., Foster C. M., Voss K., Heeger A. J., Application of the polaron-transport theory to () in TI2Ba2Ca1-xGdxCu2O8, YBa2Cu3O7-, and La2-xSrxCuO4 Physical Review B 1990 42 13 7989 7993
24. Conradson S. D., Raistrick I. D., Bishop A. R., Axial oxygen-centered lattice instabilities and high-temperature superconductivity Science 1990 248 4961 1394 1398 (Pubitemid 20208192)
25. Mustre de Leon J., Conradson S. D., Batistic I., Bishop A. R., Evidence for an axial oxygen-centered lattice fluctuation associated with the superconducting transition in YBa2Cu3O7 Physical Review Letters 1990 65 13 1675 1678
26. Mook H. A., Mostoller M., Harvey J. A., Hill N. W., Chakoumakos B. C., Sales B. C., Observation of phonon softening at the superconducting transition in Bi2Sr2CaCu2O8 Physical Review Letters 1990 65 21 2712 2715
27. Mook H. A., Chakoumakos B. C., Mostoller M., Boothroyd A. T., Paul D. M., Phonons and superconductivity in Bi2Sr2CaCu2O8 Physical Review Letters 1992 69 15 2272 2275
28. Holstein T., Studies of polaron motionpart I: the molecular-crystal model Annals of Physics 1959 8 3 325 342
29. Mitra T. K., Chatterjee A., Mukhopadhyay S., Polarons Physics Reports 1987 153 2-3 91 207
30. Bardeen J., Cooper L. N., Schrieffer J. R., Theory of superconductivity Physical Review 1957 108 5 1175 1204
31. Alexandrov A., Ranninger J., Theory of bipolarons and bipolaronic bands Physical Review B 1981 23 4 1796 1801
32. Das A. N., Sil S., Electron-phonon interaction in a strongly correlated Hubbard system Physica C 1989 161 3 325 330 (Pubitemid 20623720)
33. Berger E., Valak P., von der Linden W., Two-dimensional Hubbard-Holstein model Physical Review B 1995 52 7 4806 4814
34. Sil S., Bhattacharyya B., Effect of electron-phonon interaction on a one-dimensional correlated electron system Physical Review B 1996 54 20 14349 14354 (Pubitemid 126837569)
35. Pao C.-H., Schttler H.-B., Superconducting instability in the Holstein-Hubbard model: a numerical renormalization-group study Physical Review B 1998 57 9 5051 5054
36. Weie A., Fehske H., Wellein G., Bishop A. R., Optimized phonon approach for the diagonalization of electron-phonon problems Physical Review B 2000 62 2 R747 R750
37. Cataudella V., De Filippis G., Iadonisi G., Polaron features of the one-dimensional Holstein molecular crystal model Physical Review B 2000 62 3 1496 1499
38. Koller W., Hewson A. C., Edwards D. M., Polaronic quasiparticles in a strongly correlated electron band Physical Review Letters 2005 95 25 4
39. Sangiovanni G., Capone M., Castellani C., Grilli M., Electron-phonon interaction close to a mott transition Physical Review Letters 2005 94 2 4
40. Barone P., Raimondi R., Capone M., Castellani C., Effective electron-phonon coupling and polaronic transition in the presence of strong correlation Physical Review B 2006 73 8 5
41. Takada Y., Superconductivity in the half-filled Hubbard-Holstein model in the antiadiabatic region Journal of the Physical Society of Japan 1996 65 6 1544 1547 (Pubitemid 126456571)
42. Jeckelmann E., Zhang C., White S. R., Metal-insulator transition in the one-dimensional Holstein model at half filling Physical Review B 1999 60 11 7950 7955
43. Wang Q., Zheng H., Avignon M., Phase diagram and optical conductivity of the one-dimensional spinless Holstein model Physical Review B 2001 63 1 5
44. Takada Y., Chatterjee A., Possibility of a metallic phase in the charge-density-wavespin-density-wave crossover region in the one-dimensional Hubbard-Holstein model at half filling Physical Review B 2003 67 8 4
45. Chatterjee A., Takada Y., The Hubbard-Holstein model with anharmonic phonons in one dimension Journal of the Physical Society of Japan 2004 73 4 964 969 (Pubitemid 40778641)
46. Krishna P. M., Chatterjee A., Existence of a metallic phase in a 1D Holstein-Hubbard model at half filling Physica C 2007 457 1-2 55 59 (Pubitemid 46755556)
47. Lieb E. H., Wu F. Y., Absence of mott transition in an exact solution of the short-range, one-band model in one dimension Physical Review Letters 1968 20 25 1445 1448
48. Lang I. G., Firsov Yu. A., Zh. ksp. Teor. Fiz. 1962 43 1843
49. Soviet PhysicsJETP, vol. 16, p. 1301, 1963
50. Das A. N., Sil S., A study of the polaronic band width and the small-to-large-polaron transition in a many-polaron system Journal of Physics: Condensed Matter 1993 5 44 8265 8276
51. Zoli M., Das A. N., Polaron crossover in molecular solids Journal of Physics: Condensed Matter 2004 16 21 3597 3607
52. Frick M., Morgenstern I., von der Linden W., High-temperature superconductivity in the apex-oxygen model: a quantum Monte Carlo study Zeitschrift fr Physik B 1991 82 3 339 345
53. Frick M., Morgenstern I., von der Linden W., Anharmonic phonons and strong electronic correlations in high- Tc superconductors: a Quantum Monte Carlo study Physica C 1991 185189, part 3 1523 1524
54. Bussmann-Holder A., Bishop A. R., Anharmonicity-induced multiphonon processes in high-temperature superconductors Physical Review B 1991 44 6 2853 2856
55. Plakida N. M., Aksenov V. L., Drechsler S. L., Anharmonic model for high- Tc superconductors Europhysics Letters 1987 4 11 1309 1314
56. Plakida N. M., Lattice instability and strong electron-phonon coupling for high- Tc superconductivity Physica C 1989 162164, part 2 1341 1342 (Pubitemid 20651735)
57. Plakida N. M., Krasavin S. E., A microscopical model of anharmonic lattice dynamics of La2CuO4 Physica C 1991 185189, part 3 1531 1532
58. de Raedt H., Schneider T., Srensen M. P., Superconductivity in Hubbard models coupled to non-fermionic degrees of freedom Zeitschrift fr Physik B 1990 79 3 327 332
59. Konior J., Anharmonic polaronic model and high- Tc superconductivity Physical Review B 1993 47 21 14425 14433
60. Freericks J. K., Mahan G. D., Strong-coupling expansions for the anharmonic Holstein model and for the Holstein-Hubbard model Physical Review B 1996 54 13 9372 9384 (Pubitemid 126798044)
61. Mukherjee G. D., Bansal C., Chatterjee A., Thermal expansion study of ordered and disordered Fe3 Al: an effective approach for the determination of vibrational entropy Physical Review Letters 1996 76 11 1876 1879
62. Mukherjee G. D., Bansal C., Chatterjee A., Thermal expansion analysis of Fe3-xMnx Al alloys Physical Review B 1998 58 10 6172 6179
63. Mukherjee G. D., Chatterjee A., Bansal C., Anomalous thermal expansion behavior of the YBaCuO superconductor. Indirect evidence of polaron formation Physica C 1994 232 3-4 241 245
64. Mukherjee G. D., Bansal C., Chatterjee A., Thermal expansion study of Bi-2223 superconductor: an evidence of polaronic mechanism of high Tc superconductivity with strong two-dimensional fluctuations Physica C 2000 333 3 229 234
65. Kittel C., Introduction to Solid State Physics 1996 New York, NY, USA John Wiley Sons
66. Clay R. T., Hardikar R. P., Intermediate phase of the one dimensional half-filled Hubbard-Holstein model Physical Review Letters 2005 95 9 4
67. Zheng H., Squeezed polarons in one dimension Physics Letters A 1988 131 2 115 118
68. Lo C. F., Sollie R., Correlated squeezed polaron states in one dimension Physical Review B 1993 48 14 10183 10187
69. Hebard A. F., Rosseinsky M. J., Haddon R. C., Superconductivity at 18K in potassium-doped C60 Nature 1991 350 6319 600 601
70. Gunnarsson O., Superconductivity in fullerides Reviews of Modern Physics 1997 69 2 575 606
71. Takada Y., Explanation of the anomalous isotope effect in superconducting alkali-metal-doped fullerenes Journal of the Physical Society of Japan 1996 65 10 3134 3137
72. Takada Y., Hotta T., Superconductivity in the alkali-doped fullerides: competition of phonon-mediated attractions with coulomb repulsions in polaron pairing International Journal of Modern Physics B 1998 12 2931 3042 3051