The quantum inverse scattering method for Hubbard-like models

Nuclear Physics B

Volumn 522, Issue 3, 1998, Pages 413-470

  Martins, M J ^a,b   Ramos, P B ^b  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b FEDERAL UNIVERSITY OF SÃO CARLOS   (Brazil)

Author keywords

Algebraic Bethe ansatz; Lattice models

Indexed keywords

EID: 0032490461     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00199-0     Document Type: Article

References (73)

1. [1] E.K. Sklyanin, L.A. Takhtadzhan and L.D. Faddeev, Theor, Math. Fiz. 40 (1979) 194.
2. [2] L.D. Faddeev, Integrable models in (1 + 1) dimensions, Les Houches (1982) (North-Holland, Amsterdam, 1982) p. 561.
3. [3] L.A. Takhtajan and L.D. Faddeev, Russ. Math. Sur. 34 (1979) 11; L.A. Takhtajan, Lectures Notes in Physics, Vol. 242, ed. B.S. Shastry, S.S. Jha and V. Singh (Springer, Berlin) p. 175; P.P. Kulish and E.K. Sklyanin, Lecture Notes in Physics, Vol. 151, ed. J. Hietarinta and C. Montonen (Springer, Berlin) p. 62.
4. [3] L.A. Takhtajan and L.D. Faddeev, Russ. Math. Sur. 34 (1979) 11; L.A. Takhtajan, Lectures Notes in Physics, Vol. 242, ed. B.S. Shastry, S.S. Jha and V. Singh (Springer, Berlin) p. 175; P.P. Kulish and E.K. Sklyanin, Lecture Notes in Physics, Vol. 151, ed. J. Hietarinta and C. Montonen (Springer, Berlin) p. 62.
5. [3] L.A. Takhtajan and L.D. Faddeev, Russ. Math. Sur. 34 (1979) 11; L.A. Takhtajan, Lectures Notes in Physics, Vol. 242, ed. B.S. Shastry, S.S. Jha and V. Singh (Springer, Berlin) p. 175; P.P. Kulish and E.K. Sklyanin, Lecture Notes in Physics, Vol. 151, ed. J. Hietarinta and C. Montonen (Springer, Berlin) p. 62.
6. [4] H.B. Thacker, Rev. Mod. Phys. 53 (1981) 253.
7. [5] V.E. Korepin, G. Izergin and N.M. Bogoliubov, Quantum Inverse Scattering Method, Correlation Functions and Algebraic Bethe ansatz, (Cambridge University Press, Cambridge, 1992).
8. [6] M. Lüscher, Nucl. Phys. B 117 (1976) 475.
9. [7] V.O. Tarasov, L.A. Takhtadzhan and L.D. Faddeev, Theor. Math. Fiz. 57 (1983) 163.
10. [8] L.I. Shift, Quantum Mechanics (McGraw-Hill, New York, 1955).
11. [9] E.H. Lieb and F.Y. Wu, Phys. Rev. Lett. 20 (1968) 1445.
12. [10] C.N. Yang, Phys. Rev. Lett. 19 (1967) 1312; M. Gaudin, Phys. Lett. A 24 ( 1967) 55 .
13. [10] C.N. Yang, Phys. Rev. Lett. 19 (1967) 1312; M. Gaudin, Phys. Lett. A 24 ( 1967) 55 .
14. [11] B.S. Shastry, Phys. Rev. Lett. 56 ( 1986) 1529.
15. [12] B.S. Shastry, Phys. Rev. Lett. 56 ( 1986) 2453.
16. [13] B.S. Shastry, J. Stat. Phys. 30 (1988) 57.
17. [14] R.Z. Bariev, Theor. Math. Fiz. 82 (1990) 313.
18. [15] M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Japan 36 (1987) 340; E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Japan 36 (1987) 2298; E. Olmedilla and M. Wadati, Phys. Rev. Lett. 60 (1988) 1595.
19. [15] M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Japan 36 (1987) 340; E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Japan 36 (1987) 2298; E. Olmedilla and M. Wadati, Phys. Rev. Lett. 60 (1988) 1595.
20. [15] M. Wadati, E. Olmedilla and Y. Akutsu, J. Phys. Soc. Japan 36 (1987) 340; E. Olmedilla, M. Wadati and Y. Akutsu, J. Phys. Soc. Japan 36 (1987) 2298; E. Olmedilla and M. Wadati, Phys. Rev. Lett. 60 (1988) 1595.
21. [16] P.B. Ramos and M.J. Martins, J. Phys. A: Math. Gen. 30 (1997) L195.
22. [17] M. Suzuki, Phys. Rev. B 31 (1985) 2957; J. Suzuki, Y. Akutsu and M. Wadati, J. Phys. Soc. Japan 59 (1990) 2667; T. Koma, Prog. Theor. Phys. 83 (1990) 1445 .
23. [17] M. Suzuki, Phys. Rev. B 31 (1985) 2957; J. Suzuki, Y. Akutsu and M. Wadati, J. Phys. Soc. Japan 59 (1990) 2667; T. Koma, Prog. Theor. Phys. 83 (1990) 1445 .
24. [17] M. Suzuki, Phys. Rev. B 31 (1985) 2957; J. Suzuki, Y. Akutsu and M. Wadati, J. Phys. Soc. Japan 59 (1990) 2667; T. Koma, Prog. Theor. Phys. 83 (1990) 1445 .
25. [18] A. Klümper, Ann. Physik 1 (1992) 540; Z. Phys. B 91 (1993) 507; A. Klümper and R.Z. Bariev, Nucl. Phys. B 458 (1995) 625; G. Jütner, A. Klümper and J. Suzuki, Nucl. Phys. B 487 (1997) 656 .
26. [18] A. Klümper, Ann. Physik 1 (1992) 540; Z. Phys. B 91 (1993) 507; A. Klümper and R.Z. Bariev, Nucl. Phys. B 458 (1995) 625; G. Jütner, A. Klümper and J. Suzuki, Nucl. Phys. B 487 (1997) 656 .
27. [18] A. Klümper, Ann. Physik 1 (1992) 540; Z. Phys. B 91 (1993) 507; A. Klümper and R.Z. Bariev, Nucl. Phys. B 458 (1995) 625; G. Jütner, A. Klümper and J. Suzuki, Nucl. Phys. B 487 (1997) 656 .
28. [18] A. Klümper, Ann. Physik 1 (1992) 540; Z. Phys. B 91 (1993) 507; A. Klümper and R.Z. Bariev, Nucl. Phys. B 458 (1995) 625; G. Jütner, A. Klümper and J. Suzuki, Nucl. Phys. B 487 (1997) 656 .
29. [19] C. Destri and H.J. de Vega, Phys. Rev. Lett. 69 (1992) 2313; Nucl. Phys. B 438 (1995) 413.
30. [19] C. Destri and H.J. de Vega, Phys. Rev. Lett. 69 (1992) 2313; Nucl. Phys. B 438 (1995) 413.
31. [20] X. Zotos, P. Naet and P. Prelov, Phys. Rev. B 55 (1997) 11029.
32. [21] G. Montanbaux, D. Poiblanc, J. Bellisard and C. Sire, Phys. Rev. Lett. 70 (1993) 497; M. Distasio and X. Zotos, Phys. Rev. Lett. 74 (1995) 2050.
33. [21] G. Montanbaux, D. Poiblanc, J. Bellisard and C. Sire, Phys. Rev. Lett. 70 (1993) 497; M. Distasio and X. Zotos, Phys. Rev. Lett. 74 (1995) 2050.
34. [22] P.B. Ramos and M.J. Martins, Nucl. Phys. B 474 (1996) 678.
35. [23] M.J. Martins and P.B. Ramos, Nucl. Phys. B 500 (1997) 579.
36. [24] R.Z. Bariev, J. Phys. A: Math. Gen. 24 (1991) L549 .
37. [25] H.J. de Vega, Nucl. Phys. B 240 (1984) 495.
38. [26] M.P. Grabowski and P. Mathieu, Ann. Phys. 243 (1995); H. Grosse, Lett. Math. Phys. 18 (1989) 151.
39. [26] M.P. Grabowski and P. Mathieu, Ann. Phys. 243 (1995); H. Grosse, Lett. Math. Phys. 18 (1989) 151.
40. [27] M. Shiroishi and M. Wadati, J. Phys. Soc. Japan 64 (1995) 57.
41. [28] P.P. Kulish and E.K. Sklyanin, J. Sov. Math. 19 (1982) 1596.
42. [29] A. Kundu, Quantum integrable systems: construction, solution, algebraic aspects, hep-th 96/12046.
43. [30] P.P. Kulish and N.Yu. Reshetikhin, Sov. Phys. JETP 53 (1981) 108; J. Phys. A: Math. Gen. 16 (1983) L591.
44. [30] P.P. Kulish and N.Yu. Reshetikhin, Sov. Phys. JETP 53 (1981) 108; J. Phys. A: Math. Gen. 16 (1983) L591.
45. [31] O. Babelon, H.J. de Vega and C.M. Viallet, Nucl. Phys. B 200 (1982) 266.
46. [32] D.B. Uglov and V.E. Korepin, Phys. Lett. A 190 (1994) 238.
47. [33] S. Murakami and F. Göhmann, Phys. Lett. A 227 (1997) 216.
48. [34] V.O. Tarasov, Theor. Math. Phys. 76 (1988) 793.
49. [35] J.O. Heilmann and E.H. Lieb, Ann. NY. Acad. Sci. 172 (1971) 584; C.N. Yang, Phys. Rev. Lett. 63 (1989) 2144; M. Pernici, Europhys. Lett. 12 (1990) 75.
50. [35] J.O. Heilmann and E.H. Lieb, Ann. NY. Acad. Sci. 172 (1971) 584; C.N. Yang, Phys. Rev. Lett. 63 (1989) 2144; M. Pernici, Europhys. Lett. 12 (1990) 75.
51. [35] J.O. Heilmann and E.H. Lieb, Ann. NY. Acad. Sci. 172 (1971) 584; C.N. Yang, Phys. Rev. Lett. 63 (1989) 2144; M. Pernici, Europhys. Lett. 12 (1990) 75.
52. [36] F.H.L. Essler, V.E. Korepin and K. Schoutens, Nucl. Phys. B 372 (1992) 559; Phys. Rev. Lett. 67 (1991) 3848.
53. [36] F.H.L. Essler, V.E. Korepin and K. Schoutens, Nucl. Phys. B 372 (1992) 559; Phys. Rev. Lett. 67 (1991) 3848.
54. [37] F. Göhmann and S. Murakami, J. Phys. A: Math. Gen. 30 (1997) 5269.
55. [38] C.M. Yung and M.T. Batchelor, Nucl. Phys. B 446 (1995) 461.
56. [39] B.S. Shastry and B. Sutherland, Phys. Rev. Lett. 65 (1990) 243.
57. [40] M.J. Martins and R.M. Fye, J. Stat. Phys. 64 (1991) 271.
58. [41] J.M.P. Carmelo and P. Horsch, Phys. Rev. Lett. 68 (1992) 871; J.M.P. Carmelo, P. Horsch and A.A. Ovchinnikov, Phys. Rev. B 46 (1992) 14728.
59. [41] J.M.P. Carmelo and P. Horsch, Phys. Rev. Lett. 68 (1992) 871; J.M.P. Carmelo, P. Horsch and A.A. Ovchinnikov, Phys. Rev. B 46 (1992) 14728.
60. [42] F.C. Alcaraz and W.F. Wreszinski, J.Stat. Phys. 58 (1990) 45.
61. [43] Xi-Wen Guan and S.D. Yang, Algebraic Bethe ansatz for one-dimensional Hubbard model with chemical potential, Jilin preprint (1997).
62. [44] R. Yue and T. Deguchi, J. Phys. A: Math. Gen. 30 (1997) 849; M. Shiroishi and M. Wadati, Integrable boundary conditions for the one-dimensional Hubbard model, J. Phys. Soc. Japan (1997), to appear.
63. [44] R. Yue and T. Deguchi, J. Phys. A: Math. Gen. 30 (1997) 849; M. Shiroishi and M. Wadati, Integrable boundary conditions for the one-dimensional Hubbard model, J. Phys. Soc. Japan (1997), to appear.
64. [45] L.A. Takhtajan and L.D. Faddeev, J. Sov. Math. 24 (1984) 241.
65. [46] J.E. Hirsch, Physica C 158 (1989) 326.
66. [47] Huan-Qiang Zhou, Phys. Lett. A 221 (1996) 104.
67. [48] M.J. Martins and P.B. Ramos, J. Phys. A: Math. Gen. 30 (1997) L465.
68. [49] K. Hikami and S. Murakami, Phys. Lett. A 221 (1996) 109 .
69. [50] M. Shiroishi and M. Wadati, J. Phys. A: Math. Gen. 30 (1997) 1115.
70. [51] H.Q. Zhou, J. Phys. A: Math. Gen. 30 (1997) L423.
71. [52] M. Wadati, T. Deguchi and Y. Akutsu, Phys. Rep. 180 (1987) 247.
72. [53] M. Jimbo, Commun. Math. Phys. 102 (1986) 537; V.V. Bazhanov, Phys. Lett. B 159 (1985) 321.
73. [53] M. Jimbo, Commun. Math. Phys. 102 (1986) 537; V.V. Bazhanov, Phys. Lett. B 159 (1985) 321.