Kinetic energy, condensation energy, optical sum rule and pairing mechanism in high-Tc cuprates

Journal of the Physical Society of Japan

Volumn 74, Issue 5, 2005, Pages 1534-1543

  Yanase, Youichi ^a   Ogata, Masao ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Condensation energy; Feedback effect; High Tc superconductivity; Kinetic energy; Optical sum rule; Spin fluctuation

Indexed keywords

ARTICLE; ELECTRIC CONDUCTIVITY; MOLECULAR DYNAMICS; MOLECULAR INTERACTION; MOLECULAR PHYSICS; PHASE TRANSITION; SUPERCONDUCTOR;

EID: 20444500581     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.74.1534     Document Type: Article

References (96)

1. J. G. Bednorz and K. A. Müller: Z. Phys. B 64 (1986) 189.
2. T. Moriya, Y. Takahashi and K. Ueda: J. Phys. Soc. Jpn. 59 (1990) 2905;
3. K. Ueda, T. Moriya and Y. Takahashi: J. Phys. Chem. Solids 53 (1992) 1515.
4. P. Monthoux, A. V. Balatsky and D. Pines: Phys. Rev. Lett. 67 (1991) 3448;
5. P. Monthoux, A. V. Balatsky and D. Pines: Phys. Rev. B 46 (1992) 14803.
6. T. Moriya and K. Ueda: Adv. Phys. 49 (2000) 555.
7. A. V. Chubukov, D. Pines and J. Schmalian: in The Physics of Superconductors ed. K.-H. Bennemann, J. B. Ketterson (Springer, Berlin, 2002);
8. A. Abanov, A. V. Chubukov and J. Schmalian: Adv. Phys. 52 (2003) 119, and references therein.
9. N. E. Bickers, D. J. Scalapino and S. R. White: Phys. Rev. Lett. 62 (1989) 961;
10. N. E. Bickers and D. J. Scalapino: Ann. Phys. (N.Y.) 193 (1989) 206.
11. P. Monthoux and D. J. Scalapino: Phys. Rev. Lett. 72 (1994) 1874.
12. C.-H. Pao and N. E. Bickers: Phys. Rev. Lett. 72 (1994) 1870;
13. C.-H. Pao and N. E. Bickers: Phys. Rev. B 51 (1995) 16310.
14. T. Dahm and L. Tewordt: Phys. Rev. Lett. 74 (1995) 793;
15. T. Dahm and L. Tewordt: Phys. Rev. B 52 (1995) 1297.
16. M. Langer, J. Schmalian, S. Grabowski and K. H. Bennemann: Phys. Rev. Lett. 75 (1995) 4508.
17. S. Koikegami, S. Fujimoto and K. Yamada: J. Phys. Soc. Jpn. 66 (1997) 1438.
18. T. Takimoto and T. Moriya: J. Phys. Soc. Jpn. 66 (1997) 2459.
19. T. Takimoto and T. Moriya: J. Phys. Soc. Jpn. 67 (1998) 3570.
20. Y. Yanase, T. Jujo, T. Nomura, H. Ikeda, T. Hotta and K. Yamada: Phys. Rep. 387 (2004) 1.
21. T. Hotta: J. Phys. Soc. Jpn. 62 (1993) 4414;
22. T. Hotta: J. Phys. Soc. Jpn. 63 (1994) 4126.
23. T. Nomura and K. Yamada: J. Phys. Soc. Jpn. 72 (2003) 2053.
24. P. Monthoux: Phys. Rev. B 55 (1997) 15261.
25. A. Chubukov, P. Monthoux and D. K. Morr: Phys. Rev. B 56 (1997) 7789.
26. P. W. Anderson: Science 235 (1987) 1196;
27. c Cuprates (Princeton University Press, Princeton, NJ, 1997) and references therein.
28. H. Fukuyama: Prog. Theor. Phys. Suppl. No. 108 (1992) 287.
29. N. Nagaosa and P. A. Lee: Phys. Rev. Lett. 64 (1990) 2450;
30. N. Nagaosa and P. A. Lee: Phys. Rev. B 45 (1992) 966;
31. P. A. Lee and N. Nagaosa: Phys. Rev. B 46 (1992) 5621.
32. H. Yokoyama and H. Shiba: J. Phys. Soc. Jpn. 57 (1988) 2482;
33. H. Yokoyama and M. Ogata: J. Phys. Soc. Jpn. 65 (1996) 3615.
34. C. Gros, R. Joynt and T. M. Rice: Phys. Rev. B 36 (1987) 381.
35. E. Dagotto and J. Riera: Phys. Rev. B 46 (1992) 12084;
36. E. Dagotto and J. Riera: Phys. Rev. Lett. 70 (1993) 682.
37. E. Dagotto: Rev. Mod. Phys. 66 (1994) 763.
38. S. Sorella, G. Martins, F. Becca, C. Gazza, L. Capriotti, A. Parola and E. Dagotto: Phys. Rev. Lett. 88 (2002) 117002.
39. J. E. Hirsh: Physica C 201 (1992) 347;
40. J. E. Hirsh and F. Marsiglio: Phys. Rev. B 62 (2000) 15131.
41. M. Imada and S. Onoda: cond-mat/0008050.
42. J. E. Hirsh: Science 295 (2002) 2226.
43. S. Chakravarty: Eur. Phys. J. B 5 (1998) 337;
44. S. Chakravarty, H.-Y. Kee and E. Abrahams: Phys. Rev. B 67 (2003) 100504.
45. H. J. A. Molegraaf, C. Presura, D. van der Marel, P. H. Kes, M. Li and J. E. Hirsh: Science 295 (2002) 2239.
46. A. F. Santander-Syro, R. P. S. M. Lobo, N. Bontemps, Z. Konstantinovic, Z. Li and H. Raffy: Phys. Rev. Lett. 88 (2002) 097005;
47. A. F. Santander-Syro, R. P. S. M. Lobo, N. Bontemps, Z. Konstantinovic, Z. Li and H. Raffy: Europhys. Lett. 62 (2003) 568.
48. P. W. Anderson: Physica C 341-348 (2000) 9.
49. P. A. Lee: Physica C 317-318 (1999) 194.
50. Th. A. Maier, M. Jarrell, A. Macridin and C. Slezak: Phys. Rev. Lett. 92 (2004) 027005.
51. H. Yokoyama, Y. Tanaka, M. Ogata and H. Tsuchiura: J. Phys. Soc. Jpn. 73 (2004) 1119.
52. M. R. Norman, M. Randeria, B. Jankó and J. C. Campuzano: Phys. Rev. B 61 (2000) 14742.
53. M. R. Norman and C. Pépin: Phys. Rev. B 66 (2002) 100506.
54. R. Haslinger and A. V. Chubukov: Phys. Rev. B 67 (2003) 140504.
55. R. Haslinger and A. V. Chubukov: Phys. Rev. B 68 (2003) 214508.
56. T. Eckl, W. Hanke and E. Arrigoni: Phys. Rev. B 68 (2003) 014505.
57. A. Knigavko, J. P. Carbotte and F. Marsiglio: Phys. Rev. B 70 (2004) 224501.
58. J. M. Luttinger and J. C. Ward: Phys. Rev. 118 (1960) 1417;
59. J. M. Luttinger: Phys. Rev. 119 (1960) 1153.
60. G. Baym and L. P. Kadanoff: Phys. Rev. 124 (1961) 287;
61. G. Baym and L. P. Kadanoff: Phys. Rev. 127 (1962) 1391.
62. P. W. Anderson: Science 268 (1995) 1154.
63. D. N. Basov, S. I. Woods, A. S. Katz, E. J. Singley, R. C. Dynes, M. Xu, D. G. Hinks, C. C. Homes and M. Strongin: Science 283 (1999) 49.
64. A. S. Katz, S. I. Woods, E. J. Singley, T. W. Li, M. Xu, D. G. Hinks, R. C. Dynes and D. N. Basov: Phys. Rev. B 61 (2000) 5930.
65. D. N. Basov, C. C. Homes, E. J. Singley, M. Strongin, T. Timusk, G. Blumberg and D. van der Marel: Phys. Rev. B 63 (2001) 134514.
66. K. A. Moler, J. R. Kirtley, D. G. Hinks, T. W. Li and M. Xu: Science 279 (1998) 1193.
67. A. A. Tsvetkov, D. van der Marel, K. A. Moler, J. R. Kirtley, J. L. de Boer, A. Meetsma, Z. F. Ren, N. Koleshnikov, D. Dulic, A. Damascelli, M. Grüninger, J. Schützmann, J. W. van der Eb, H. S. Somal and J. H. Wang: Nature 395 (1998) 360.
68. J. R. Kirtley, K. A. Moler, G. Villard and A. Maignan: Phys. Rev. Lett. 81 (1998) 2140.
69. D. Manske, I. Eremin and K. H. Bennemann: Phys. Rev. B 62 (2000) 13922.
70. Y. Yanase and K. Yamada: J. Phys. Soc. Jpn. 70 (2001) 1659.
71. H. Kondo and T. Moriya: J. Phys. Chem. Solids 63 (2002) 1399.
72. H. Yoshimura and D. S. Hirashima: J. Phys. Soc. Jpn. 73 (2004) 2057;
73. H. Yoshimura and D. S. Hirashima: J. Phys. Soc. Jpn. 74 (2005) 712.
74. Y. Yanase: J. Phys. Soc. Jpn. 71 (2002) 278.
75. Y. Yanase: J. Phys. Soc. Jpn. 73 (2004) 1000.
76. Y. Yanase, T. Jujo and K. Yamada: J. Phys. Soc. Jpn. 69 (2000) 3664.
77. We have confirmed that the kink structure in the electronic dispersion clearly appears in the superconducting state of under-doped region. This is not the case in the electron-doped region.
78. We acknowledge anonymous referee for pointing out this point.
79. A. V. Boris, N. N. Kovaleva, O. V. Dolgov, T. Holden, C. T. Lin, B. Keimer and C. Bernhard: Science 304 (2004) 708.
80. S. Tajima, Y. Fudamoto, T. Kakeshita, B. Gorshunov, V. Zelezny, K. M. Kojima, M. Dressel and S. Uchida: Phys. Rev. B 71 (2005) 094508.
81. C. C. Homes, S. V. Dordevic, D. A. Bonn, R. Liang and W. N. Hardy: Phys. Rev. B 69 (2004) 024514.
82. M. Tinkham: Introduction to Superconductivity (McGraw-Hill, New York, 1975).
83. D. J. Scalapino, S. R. White and S. C. Zhang: Phys. Rev. B 47 (1993) 7995.
84. op occurs at t′/t = 0.4, but its absolute value is smaller than the gain of kinetic energy.
85. J. W. Loram, J. Luo, J. R. Cooper, W. Y. Liang and J. L. Tallon: J. Phys. Chem. Solids 62 (2001) 59.
86. N. Momono, T. Matsuzaki, M. Oda and M. Oda: J. Phys. Soc. Jpn. 71 (2002) 2832;
87. T. Matsuzaki, N. Momono, M. Oda and M. Oda: J. Phys. Soc. Jpn. 73 (2004) 2232.
88. H. Hegger, C. Petrovic, E. G. Moshopoulou, M. F. Hundley, J. L. Sarrao, Z. Fisk and J. D. Thompson: Phys. Rev. Lett. 84 (2000) 4986.
89. C. Petrovic, P. G. Pagliuso, M. F. Hundley, R. Movshovich, J. L. Sarrao, J. D. Thompson, Z. Fisk and P. Monthoux: J. Phys.: Condens. Matter 13 (2001) L337.
90. W. F. Brinkman, J. W. Seren and P. W. Anderson: Phys. Rev. A 10 (1974) 2386.
91. K. Makoshi and T. Moriya: J. Phys. Soc. Jpn. 38 (1975) 10.
92. B of condensation energy depends on the parameters, however it is larger than 40% in the under-doped region and for realistic values of t′/t.
93. D. J. Scalapino and S. R. White: Phys. Rev. B 58 (1998) 8222.
94. E. Demler and S. C. Zhang: Nature 396 (1998) 733.
95. A. Abanov and A. V. Chubukov: Phys. Rev. B 62 (2000) R787.
96. D. van der Marel, A. J. Leggett, J. W. Loram and J. R. Kirtley: Phys. Rev. B 66 (2002) 140501.