Theory of Gossamer and resonating valence bond superconductivity

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 1, 2005, Pages

  Gan, J Y ^a   Zhang, F C ^b,c   Su, Z B ^a  

^a INSTITUTE OF THEORETICAL PHYSICS   (China)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

^c UNIVERSITY OF CINCINNATI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FERROMAGNETIC MATERIAL;

ARTICLE; ELECTRON; ENERGY; KINETICS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PHASE TRANSITION; PHYSICS; QUANTUM MECHANICS; QUANTUM THEORY; SUPERCONDUCTOR;

EID: 16844370137     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.014508     Document Type: Article

References (55)

1. J. G. Bednorz and K. A. Muller, Z. Phys. B: Condens. Matter 64, 189 (1986).
2. M. K. Wu et al., Phys. Rev. Lett. 58, 908 (1987).
3. P. W. Anderson, Science 235, 1196 (1987).
4. F. C. Zhang and T. M. Rice, Phys. Rev. B 37, 3759 (1988).
5. P. W. Anderson, P. A. Lee, M. Randeria, T. M. Rice, N. Trievedi, and F. C. Zhang, J. Phys.: Condens. Matter 24, R755 (2004).
6. G. Baskaran, Z. Zou, and P. W. Anderson, Solid State Commun. 63, 973 (1987).
7. F. C. Zhang, C. Gros, T. M. Rice, and H. Shiba, Supercond. Sci. Technol. 1, 36 (1988).
8. C. Gros, Phys. Rev. B 38, 931 (1988); H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. 57, 2482 (1988); C. Gros, Ann. Phys. (N.Y.) 189, 53 (1989).
9. C. Gros, Phys. Rev. B 38, 931 (1988); H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. 57, 2482 (1988); C. Gros, Ann. Phys. (N.Y.) 189, 53 (1989).
10. C. Gros, Phys. Rev. B 38, 931 (1988); H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. 57, 2482 (1988); C. Gros, Ann. Phys. (N.Y.) 189, 53 (1989).
11. G. Kotliar and J. Liu, Phys. Rev. B 38, 5142 (1988).
12. H. Fukuyama, Prog. Theor. Phys. Suppl. 108, 287 (1992).
13. P. A. Lee, Physica C 317, 194 (1999); N. Nogaosa and P. A. Lee, Phys. Rev. Lett. 64, 2450 (1990); X. G. Wen and P. A. Lee, ibid. 76, 503 (1996).
14. P. A. Lee, Physica C 317, 194 (1999); N. Nogaosa and P. A. Lee, Phys. Rev. Lett. 64, 2450 (1990); X. G. Wen and P. A. Lee, ibid. 76, 503 (1996).
15. P. A. Lee, Physica C 317, 194 (1999); N. Nogaosa and P. A. Lee, Phys. Rev. Lett. 64, 2450 (1990); X. G. Wen and P. A. Lee, ibid. 76, 503 (1996).
16. A. Paramekanti, M. Randeria, and N. Trivedi, Phys. Rev. Lett. 87, 217002 (2001); A. Paramekanti et al., cond-mat/0305611 (unpublished).
17. A. Paramekanti, M. Randeria, and N. Trivedi, Phys. Rev. Lett. 87, 217002 (2001); A. Paramekanti et al., cond-mat/0305611 (unpublished).
18. D. J. Van Harlingen, Rev. Mod. Phys. 67, 515 (1995).
19. C. C. Tsuei and J. R. Kirtley, Rev. Mod. Phys. 72, 969 (2000).
20. A. Damascelli, Z. Hussain, and Z. X. Shen, Rev. Mod. Phys. 75, 473 (2003); T. Timusk and B. Statt, Rep. Prog. Phys. 62, 61 (1999).
21. A. Damascelli, Z. Hussain, and Z. X. Shen, Rev. Mod. Phys. 75, 473 (2003); T. Timusk and B. Statt, Rep. Prog. Phys. 62, 61 (1999).
22. Y. J. Uemura, Phys. Rev. Lett. 62, 2317 (1989).
23. S. Sorella, G. B. Martins, F. Becca, C. Gazza, L. Capriotti, A. Parola, and E. Dagotto, Phys. Rev. Lett. 88, 117002 (2002).
24. C. T. Shih, Y. C. Chen, H. Q. Lin, and T. K. Lee, Phys. Rev. Lett. 81, 1294 (1998).
25. F. F. Assaad, W. Hanke, and D. J. Scalapino, Phys. Rev. B 50, 12 835 (1994).
26. S. Zhang, J. Carlson, and J. E. Gubernatis, Phys. Rev. Lett. 78, 4486 (1997).
27. S. R. White and D. J. Scalapino, Phys. Rev. B 60, R753 (1999).
28. Th. Maier, M. Jarrell, Th. Pruschke, and J. Keller, Phys. Rev. Lett. 85, 1524 (2000); M. Jarrell, Th. Maier, M. H. Hettler, and A. N. Tahvildarzadeh, Europhys. Lett. 56, 563 (2001).
29. Th. Maier, M. Jarrell, Th. Pruschke, and J. Keller, Phys. Rev. Lett. 85, 1524 (2000); M. Jarrell, Th. Maier, M. H. Hettler, and A. N. Tahvildarzadeh, Europhys. Lett. 56, 563 (2001).
30. R. Laughlin, LANL cond-mat/0209269 (unpublished).
31. F. C. Zhang, Phys. Rev. Lett. 90, 207002 (2003).
32. G. Baskaran, Phys. Rev. Lett. 90, 197007 (2003).
33. B. A. Bernevig, R. B. Laughlin, and D. I. Santiago, Phys. Rev. Lett. 91, 147003 (2003); B. A. Bernevig, G. Chapline, R. Laughlin, Z. Nazario, and D. Santiago, cond-mat/0312573 (unpublished).
34. B. A. Bernevig, R. B. Laughlin, and D. I. Santiago, Phys. Rev. Lett. 91, 147003 (2003); B. A. Bernevig, G. Chapline, R. Laughlin, Z. Nazario, and D. Santiago, cond-mat/0312573 (unpublished).
35. See also Ref. 25. Note that the numbers of empty and doubly occupied sites in the present theory are fixed only in average, while they are rigorously fixed in Ref. 25.
36. D. Jerome, Science 252, 1509 (1991); S. Lefebvre, P. Wzietek, S. Brown, C. Bourbonnais, D. Jrome, C. Mzire, M. Fourmigu, and P. Batail, Phys. Rev. Lett. 85, 5420 (2000).
37. D. Jerome, Science 252, 1509 (1991); S. Lefebvre, P. Wzietek, S. Brown, C. Bourbonnais, D. Jrome, C. Mzire, M. Fourmigu, and P. Batail, Phys. Rev. Lett. 85, 5420 (2000).
38. C. Honerkamp (private communication).
39. W. Brinkman and T. M. Rice, Phys. Rev. B 2, 4302 (1970).
40. M. C. Gutzwiller, Phys. Rev. 137, A1726 (1965).
41. D. Vollhardt, Rev. Mod. Phys. 56, 99 (1984).
42. C. Gros, R. Joynt, and T. M. Rice, Phys. Rev. B 36, 381 (1987); G. J. Chen, R. Joynt, F. C. Zhang, and C. Gros, ibid. 42, 2662 (1990).
43. C. Gros, R. Joynt, and T. M. Rice, Phys. Rev. B 36, 381 (1987); G. J. Chen, R. Joynt, F. C. Zhang, and C. Gros, ibid. 42, 2662 (1990).
44. H. Yokoyama and H. Shiba, J. Phys. Soc. Jpn. 56, 3570 (1987).
45. A. Himeda and M. Ogata, Phys. Rev. B 60, R9935 (1999).
46. I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Phys. Rev. B 38, 745 (1988).
47. F. C. Zhang, Phys. Rev. Lett. 64, 974 (1990).
48. R. Peierls, see the quote in the reference of Landau and Zeldovich below.
49. L. Landau and G. Zeldovich, Acta Physicochim. URSS 18, 194 (1943).
50. N. F. Mott, in Metal-Insulator Transition, 2nd ed. (Taylor and Francis, New York, 1990), p. 127.
51. J. Florencio and K. A. Chao, Phys. Rev. B 14, 3121 (1976).
52. c, similar to what is discussed in Fig. 7.
53. M. R. Norman and M. Randeria, Phys. Rev. B 52, 615 (1995).
54. Z. X. Shen et al., Phys. Rev. Lett. 70, 1553 (1993).
55. J. C. Campuzano et al., Phys. Rev. Lett. 83, 3709 (1999).