Colloquium: Exactly solvable Richardson-Gaudin models for many-body quantum systems

Reviews of Modern Physics

Volumn 76, Issue 3 I, 2004, Pages 643-662

  Dukelsky, J ^a   Pittel, S ^b   Sierra, G ^c  

^a INSTITUTO DE ESTRUCTURA DE LA MATERIA   (Spain)

^b UNIVERSITY OF DELAWARE   (United States)

^c CSIC   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8444221307     PISSN: 00346861     EISSN: None     Source Type: Journal    
DOI: 10.1103/RevModPhys.76.643     Document Type: Review

References (80)

1. Amico, L., A. Di Lorenzo, A. Mastellone, A. Osterloh, and R. Raimondi, 2002, Ann. Phys. (N.Y.) 299, 228.
2. Amico, L., A. Di Lorenzo, and A. Osterloh, 2001, Phys. Rev. Lett. 86, 5759.
3. Amico, L., G. Falci, and R. Fazio, 2001, J. Phys. A 34, 6425.
4. Anderson, P. W., 1958, Phys. Rev. 112, 1900.
5. Anderson, P. W., 1959, J. Phys. Chem. Solids 11, 28.
6. Arias, J. E., J. Dukelsky, and J. E. García-Ramos, 2003, Phys. Rev. Lett. 91, 162502.
7. Arrachea, L., and M. J. Rozenberg, 2001, Phys. Rev. Lett. 86, 5172, and private communication.
8. Asorey, M., F. Falceto, and G. Sierra, 2002, Nucl. Phys. B 622, 593.
9. Baldo, M., J. Cugnon, A. Lejeune, and U. Lombardo, 1990, Nucl. Phys. A 515, 409.
10. Bang, J., and J. Krumlimde, 1970, Nucl. Phys. A 141, 18.
11. Bardeen, J., L. N. Cooper, and J. R. Schrieffer, 1957, Phys. Rev. 108, 1175.
12. Berger, S. D., and B. I. Halperin, 1998, Phys. Rev. B 58, 5213.
13. Bethe, H. A., 1931, Z. Phys. 71, 265.
14. Braun, F., and J. von Delft, 1998, Phys. Rev. Lett. 81, 4712.
15. Calogero, F., 1962, J. Math. Phys. 10, 2191.
16. Cambiaggio, M. C, A. M. F. Rivas, and M. Saraceno, 1997, Nucl. Phys. A 624, 157.
17. Dean, D. J., and M. Hjorth-Jensen, 2003, Rev. Mod. Phys. 75, 607.
18. Dietrich, K., H. J. Mang, and J. H. Pradal, 1964, Phys. Rev. 135, B22.
19. Dukelsky, J., G. G. Dussal, C. Esebbag, and S. Pittel, 2004, Phys. Rev. Lett, (to be published).
20. Dukelsky, J., C. Esebbag, and S. Pittel, 2002, Phys. Rev. Lett. 88, 062501.
21. Dukelsky, J., C. Esebbag, and P. Schuck, 2001, Phys. Rev. Lett. 87, 066403.
22. Dukelsky, J., and S. Pittel, 2001, Phys. Rev. Lett. 86, 4791.
23. Dukelsky, J., J. M. Roman, and G. Sierra, 2003, Phys. Rev. Lett. 90, 249803.
24. Dukelsky, J., and P. Schuck, 2001, Phys. Rev. Lett. 86, 4207.
25. Dukelsky, J., and G. Sierra, 1999, Phys. Rev. Lett. 83, 172.
26. Dukelsky, J., and G. Sierra, 2000, Phys. Rev. B 61, 12302.
27. Elliott, J. P., 1958a, Proc. R. Soc. London, Ser. A 242, 128.
28. Elliott, J. P., 1958b, Proc. R. Soc. London, Ser. A 242, 562.
29. Gaudin, M., 1976, J. Phys. (Paris) 37, 1087.
30. Gaudin, M., 1995, États Propres et Valeurs Propres de l'Hamiltonien d'Appariement (Les Éditions de Physique, France).
31. Gould, M. D., Y.-Z. Zhang, and S.-Y. Zhao, 2002, Nucl. Phys. B 630, 492.
32. Guan, X.-W., A. Foerster, J. Links, and H.-Q. Zhou, 2002, Nucl. Phys. B 642, 501.
33. Ha, Z. N. C., 1996, Quantum Many-Body Systems in One Dimension (World Scientific, Singapore).
34. Haldane, F. D. M., 1981, J. Phys. C 14, 2585.
35. Haldane, F. D. M., 1988, Phys. Rev. Lett. 60, 635.
36. Hasegawa, M., and S. Tasaki, 1987, Phys. Rev. C 35, 1508.
37. Hasegawa, M., and S. Tasaki, 1993, Phys. Rev. C 47, 188.
38. Heiselberg, H., 2003, Phys. Rev. A 68, 053616.
39. Heritier, M., 2001, Nature (London) 414, 31.
40. lachello, F., and A. Arima, 1980, The Interacting Boson Model (Cambridge University, Cambridge, England).
41. Links, J., H.-Q. Zhou, M. D. Gould, and R. H. McKenzie, 2002. J. Phys. A 35, 6459.
42. Links, J., H.-Q. Zhou, R. H. McKenzie, and M. D. Gould, 2003. J. Phys. A 36, R63.
43. Luttinger, J. M., 1963, J. Math. Phys. 15, 609.
44. Mastellone, A., G. Falci, and R. Fazio, 1998, Phys. Rev. Lett. 80, 4542.
45. Matveev, K. A., and A. I. Larkin, 1997, Phys. Rev. Lett. 78, 3749.
46. Nozières, P., and D. Saint James, 1982, J. Phys. (Paris) 43, 1133.
47. Pan, F., and J. P. Draayer, 2002, Phys. Rev. C 66, 044314.
48. Pittel, S., and J. Dukelsky, 2003, nucl-th/0309020.
49. Ralph, D. C., C. T. Black, and M. Tinkham, 1997, Phys. Rev. Lett. 78, 4087.
50. Relano, A., J. Dukelsky, J. M. G. Gomez, and J. Retamosa, 2004, Phys. Rev. E (to be published).
51. Richardson, R. W., 1963a, Phys. Lett. 3, 277.
52. Richardson, R. W., 1963b, Phys. Lett. 5, 82.
53. Richardson, R. W., 1965, J. Math. Phys. 6, 1034.
54. Richardson, R. W., 1966a, Phys. Rev. 141, 949.
55. Richardson, R. W., 1966b, Phys. Rev. 144, 874.
56. Richardson, R. W., 1967, Phys. Rev. 159, 792.
57. Richardson, R. W., 1968, J. Math. Phys. 9, 1327.
58. Richardson, R. W., 1977, J. Math. Phys. 18, 1802.
59. Richardson, R. W., and N. Sherman, 1964, Nucl. Phys. 52, 221.
60. Roman, J. M., G. Sierra, and J. Dukelsky, 2002, Nucl. Phys. B 634, 483.
61. Roman, J. M., G. Sierra, and J. Dukelsky, 2003, Phys. Rev. B 67, 064510.
62. Rombouts, S., D. Van Neck, and J. Dukelsky, 2003, Phys. Rev. B (to be published).
63. Schechter, M., Y. Imry, Y. Levinson, and J. von Delft, 2001, Phys. Rev. B 63, 214518.
64. Shastry, B. S., 1988, Phys. Rev. Lett. 60, 639.
65. Shastry, B. S., and A. Dhar, 2001, J. Phys. A 34, 6197.
66. Sierra, G., 2000, Nucl. Phys. B 572, 517.
67. Sierra, G., 2002, in Statistical Field Theories, edited by A. Cappelli and G. Mussardo, NATO Sciences Series, Vol. 73 (Kluwer Academic, London), pp. 317-328.
68. Sierra, G., J. Dukelsky, G. G. Dussel, J. von Delft, and F. Braun, 2000, Phys. Rev. B 61, R11 890.
69. Sigrist, M., and K. Ueda, 1991, Rev. Mod. Phys. 63, 239.
70. Smith, R. A., and V. Ambegaokar, 1996, Phys. Rev. Lett. 77, 4962.
71. Sutherland, B., 1971, J. Math. Phys. 12, 246.
72. Tomonaga, S., 1950, Prog. Theor. Phys. 5, 544.
73. Volya, A., V. Zelevinsky, and B. A. Brown, 2002, Phys. Rev. C 65, 054312.
74. von Delft, J., D. S. Golubev, W. Tichy, and A. D. Zaikin, 1996, Phys. Rev. Lett. 77, 3189.
75. von Delft, J., and R. Poghossian, 2002, Phys. Rev. B 66, 134502.
76. von Delft, J., and D. C. Ralph, 2001, Phys. Rep. 345, 61.
77. Wu, L.-A., M. W. Guidry, Y. Sun, and C.-L. Wu, 2002, Phys. Rev. B 67, 014515.
78. Yuzbashyan, E. A., A. A. Baytin, and B. L. Altshuler, 2003, Phys. Rev. B 68, 214509.
79. Zhang, S.-C, 1997, Science 275, 1089.
80. Zhou, H.-Q., J. Links, R. H. McKenzie, and M. D. Gould, 2002, Phys. Rev. B 65, 060502.