Thermodynamics and excitations of the one-dimensional Hubbard model

Physics Report

Volumn 331, Issue 5, 2000, Pages 197-281

  Essler, F H L ^b   Gohmann F ^a   Klumper A ^c   Korepin, V E ^a   Kusakabe, K ^d  

^a STONY BROOK UNIVERSITY   (United States)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c UNIVERSITY OF COLOGNE   (Germany)

^d NIIGATA UNIVERSITY   (Japan)

Author keywords

71.10.Fd; 71.10.Pm; 71.27.+a; Excitations; Hubbard model; Strongly correlated electrons; Thermodynamics

Indexed keywords

EID: 0034215542     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0370-1573(00)00010-7     Document Type: Review

References (114)

1. Gutzwiller M.C. Phys. Rev. Lett. 10:1963;159.
2. Hubbard J. Proc. Roy. Soc. (London) A. 276:1963;238.
3. Kanamori J. Prog. Theor. Phys. 30:1963;275.
4. Gebhard F. The Mott Metal-Insulator Transition. 1997;Springer, Berlin.
5. Lieb E.H., Wu F.Y. Phys. Rev. Lett. 20:1968;1445.
6. Nagaoka Y. Phys. Rev. 147:1966;392.
7. Lieb E.H. Phys. Rev. Lett. 62:1989;1201.
8. E.H. Lieb, Advances in Dynamical Systems and Quantum Physics, World Scientific, Singapore, 1995, p. 173.
9. Tasaki H. J. Phys.: Condens. Matter. 10:1998;4353.
10. Metzner W., Vollhardt D. Phys. Rev. Lett. 62:1989;324.
11. Vollhardt D. Int. J. Mod. Phys. B. 3:1989;2189.
12. Müller-Hartmann E. Int. J. Mod. Phys. B. 3:1989;2169.
13. Kim C., Matsuura A.Y., Shen Z.-X., Motoyama N., Eisaki H., Uchida S., Tohyama T., Maekawa S. Phys. Rev. Lett. 77:1996;4054.
14. Kim C., Shen Z.-X., Motoyama N., Eisaki H., Uchida S., Tohyama T., Maekawa S. Phys. Rev. B. 56:1997;15,589.
15. Zwick F., Brown S., Margaritondo G., Merlic C., Onellion M., Voit J., Grioni M. Phys. Rev. Lett. 79:1997;3982.
16. Mori T., Kawamoto T., Yamaura J., Enoki T., Misaki Y., Yamabe T., Mori H., Tanaka S. Phys. Rev. Lett. 79:1997;1702.
17. Kobayashi K., Mizokawa T., Fujimori A., Isobe M., Ueda Y. Phys. Rev. Lett. 80:1998;3121.
18. Kobayashi K., Mizokawa T., Fujimori A., Isobe M., Ueda Y., Tohyama T., Maekawa S. Phys, Rev. Lett. 82:1999;803.
19. Vescoli V., Degiorgi L., Henderson W., Grüner G., Starkey K.P., Montgomery L.K. Science. 281:1998;1181.
20. Denlinger J.D., Gweon G.-H., Allen J.W., Olson C.G., Marcus J., Schlenker C., Hsu L.-S. Phys. Rev. Lett. 82:1999;2540.
21. Montorsi A. The Hubbard Model. 1992;World Scientific, Singapore.
22. Rasetti M. The Hubbard Model, Recent Results. 1991;World Scientific, Singapore.
23. Baeriswyl D., Campbell D.K., Carmelo (Eds.) J.M.P. The Hubbard Model: Its Physics and Mathematical Physics, NATO Asi Series, Vol. 344, Series B. 1995;Plenum Press, New York.
24. Eßler F.H.L., Korepin V.E. Exactly Solvable Models of Strongly Correlated Electrons. 1994;World Scientific, Singapore.
25. Yang C.N. Phys. Rev. Lett. 19:1967;1312.
26. Gaudin M. Phys. Lett. A. 24:1967;55.
27. Takahashi M. Prog. Theor. Phys. 47:1972;69.
28. Takahashi M. Prog. Theor. Phys. 46:1971;401.
29. Faddeev L.D., Takhtajan L.A. J. Sov. Math. 24:1984;241.
30. Tsvelick A.M., Wiegmann P.B. Adv. Phys. 32:1983;453.
31. Takahashi M. Prog. Theor. Phys. 52:1974;103.
32. Woynarovich F. J. Phys. C. 15:1982;85.
33. Woynarovich F. J. Phys. C. 15:1982;97.
34. Woynarovich F. J. Phys. C. 16:1983;5293.
35. Woynarovich F. J. Phys. C. 16:1983;6593.
36. Ovchinnikov A.A. Sov. Phys. JETP. 30:1970;1160.
37. Coll C.F. Phys. Rev. B. 9:1974;2150.
38. Eßler F.H.L., Korepin V.E. Phys. Rev. Lett. 72:1994;908.
39. Eßler F.H.L., Korepin V.E. Nucl. Phys. B. 426:1994;505.
40. Suzuki M., Inoue M. Prog. Theor. Phys. 78:1987;787.
41. Koma T. Prog. Theor. Phys. 78(6):1987;1213-1218.
42. Koma T. Prog. Theor. Phys. 81(4):1989;783-809.
43. Klümper A., Bariev R.Z. Nucl. Phys. B. 458:1996;623.
44. Jüttner G., Klümper A., Suzuki J. Nucl. Phys. B. 522:1998;471.
45. M. Takahashi, Lecture Notes in Physics, Vol. 498, Springer, Berlin, 1997, p. 204.
46. Takahashi M. Thermodynamics of One-Dimensional Solvable Models. 1999;Cambridge University Press, Cambridge.
47. Klümper A. Ann. Phys. 1(7):1992;540-553.
48. Klümper A. Z. Phys. B. 91(4):1993;507.
49. Carmelo J.M.P., Neto A.H.C., Campbell D.K. Phys. Rev. B. 50:1994;3667.
50. Carmelo J.M.P., Neto A.H.C., Campbell D.K. Phys. Rev. B. 50:1994;3683.
51. Peres N.M.R., Carmelo J.M.P., Campbell D.K., Sandvik A.W. Z. Phys. B. 103:1997;217.
52. Penc K., Hallberg K., Mila F., Shiba H. Phys. Rev. Lett. 77:1996;1390.
53. Penc K., Hallberg K., Mila F., Shiba H. Phys. Rev. B. 55:1997;15,475.
54. Shiroishi M., Wadati M. J. Phys. Soc. Japan. 64:1995;57.
55. Shastry B.S. Phys. Rev. Lett. 56:1986;2453.
56. Shastry B.S. J. Stat. Phys. 50:1988;57.
57. Olmedilla E., Wadati M., Akutsu Y. J. Phys. Soc. Japan. 56:1987;2298.
58. Ramos P.B., Martins M.J. J. Phys. A. 30:1997;L195.
59. Martins M.J., Ramos P.B. Nucl. Phys. B. 522:1998;413.
60. Yue R., Deguchi T. J. Phys. A. 30:1997;849.
61. Uglov D.B., Korepin V.E. Phys. Lett. A. 190:1994;238.
62. Murakami S., Göhmann F. Phys. Lett. A. 227:1997;216.
63. Murakami S., Göhmann F. Nucl. Phys. B. 512:1998;637.
64. Grabowski M.P., Mathieu P. Ann. Phys. (NY). 243:1995;299.
65. Shiroishi M., Wadati M. J. Phys. Soc. Japan. 65:1996;1983.
66. Göhmann F., Murakami S. J. Phys. A. 30:1997;5269.
67. Shiroishi M., Ujino H., Wadati M. J. Phys. A. 31:1998;2341.
68. Salerno M. Physica D. 119:1998;200.
69. Yang C.N., Yang C.P. J. Math. Phys. 10:1969;1115.
70. Eßler F.H.L., Korepin V.E., Schoutens K. Nucl. Phys. B. 372:1992;559.
71. Bethe H. Z. Phys. 71:1931;205.
72. Gaudin M. Phys. Rev. Lett. 26(21):1971;1301-1304.
73. Eßler F.H.L., Korepin V.E., Schoutens K. J. Phys. A. 25:1992;4115.
74. Heilmann O.J., Lieb E.H. Ann. NY Acad. Sci. 172:1971;584.
75. Yang C.N. Phys. Rev. Lett. 63:1989;2144.
76. Pernici M. Europhys. Lett. 12:1990;75.
77. Yang C.N., Zhang S.C. Mod. Phys. Lett. B 4:1990;40.
78. Eßler F.H.L., Korepin V.E., Schoutens K. Nucl. Phys. B 384:1992;431.
79. Kawakami N., Usuki T., Okiji A. Phys. Lett. A 137(6):1989;287-290.
80. Usuki T., Kawakami N., Okiji A. J. Phys. Soc. Japan. 59:1990;1357-1365.
81. Suzuki J., Akutsu Y., Wadati M. J. Phys. Soc. Japan. 59:1990;2667.
82. Korepin V.E., Bogoliubov N.M., Izergin A.G. Quantum Inverse Scattering Method and Correlation Functions. 1993;Cambridge University Press, Cambridge.
83. Gaudin M. La Fonction de l'onde de Bethe pour les Modèles Exacts de la Méchanique Statistique. 1983;Masson, Paris.
84. H.J. Schulz, Correlated Electron Systems, Vol. 9, World Scientific, Singapore, 1993, p. 199.
85. Lee K.-J.-B., Schlottmann P. Phys. Rev. B 38:1989;11,566.
86. Carmelo J.M.P., Peres N.M.R. Phys. Rev. B 56:1997;3717.
87. Klümper A., Schadschneider A., Zittartz J. Z. Phys. B 78:1990;99.
88. Frahm H., Korepin V.E. Phys. Rev. B 42:1990;10,553.
89. Frahm H., Korepin V.E. Phys. Rev. B 43:1991;5653.
90. Shastry B.S. Phys. Rev. Lett. 56:1986;1529.
91. Bariev R.Z. Theor. Math. Phys. 49:1982;1021.
92. Tsunetsugu K. J. Phys. Soc. Japan. 60:1991;1460.
93. Jüttner G., Klümper A., Suzuki J. Nucl. Phys. B 512:1998;581.
94. Zamolodchikov A.B. Phys. Lett. B 253:1991;39.
95. Zamolodchikov A.B. Nucl. Phys. B 358:1991;497.
96. K. Fabricius, A. Klümper, B.M. McCoy, Competition of ferromagnetic and antiferromagnetic order in the spin-1 / 2 XXZ chain at finite temperature, in: M.T. Batchelor, L.T. Wille (eds.), Statistical Physics at the Eve of the 21st Century, World Scientific, Singapore, 1999, pp. 351-365.
97. Sakai K., Shiroishi M., Suzuki J., Umeno Y. Phys. Rev. B 60:1999;5186.
98. Sakai K. J. Phys. Soc. Japan. 68:1999;1789.
99. Korepin V.E. Comm. Math. Phys. 86:1982;391.
100. Umeno Y., Shiroishi M., Wadati M. J. Phys. Soc. Japan. 67:1998;2242.
101. Haldane F.D.M. J. Phys. C 14:1981;2585.
102. Eßler F.H.L., Frahm H. Phys Rev. B 60:1999;8540.
103. Melzer E. Nucl. Phys. B 443:1995;553.
104. Woynarovich F., Forgacs P. Nucl. Phys. B 498:1997;565.
105. Woynarovich F., Forgacs P. Nucl. Phys. B 538:1999;701.
106. Eßler F.H.L., Korepin V.E. Phys. Rev. B 59:1999;1734.
107. Karowski M., Weisz P. Nucl. Phys. B 139:1978;455.
108. Berg B., Karowski M., Weisz P. Phys. Rev. D 19:1979;2477.
109. Smirnov F.A. Form Factors in Completely Integrable Models of Quantum Field Theory. 1992;World Scientific, Singapore.
110. Tetel'man M.G. Sov. Phys. JETP. 55:1982;306.
111. B. Sutherland, Lecture Notes in Physics, Vol. 242, Springer, Berlin, 1985, p. 1.
112. I.A. Iziumov, I.N. Skriabin, Statistical Mechanics of Magnetically Ordered Systems, Consultants Bureau, New York, 1988.
113. Izergin A.G., Korepin V.E. Comm. Math. Phys. 94:1984;67.
114. Izergin A.G., Korepin V.E., Reshetikhin N.Y. J. Phys. A 20:1987;4799.