Non-Fermi liquids in the extended Hubbard model

Journal of Physics Condensed Matter

Volumn 8, Issue 48, 1996, Pages 9953-9984

  Si, Qimiao ^a  

^a RICE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1542759177     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/8/48/019     Document Type: Article

References (132)

1. Landau L D 1956 Sov. Phys.-JETP 3 920; 1957 Sov. Phys.-JETP 5 101; 1959 Sov. Phys.-JETP 8 70
2. Landau L D 1956 Sov. Phys.-JETP 3 920; 1957 Sov. Phys.-JETP 5 101; 1959 Sov. Phys.-JETP 8 70
3. Landau L D 1956 Sov. Phys.-JETP 3 920; 1957 Sov. Phys.-JETP 5 101; 1959 Sov. Phys.-JETP 8 70
4. Wheatley J 1975 Rev. Mod. Phys. 47 415
5. Leggett A J 1975 Rev. Mod. Phys. 47 331
6. McWhan D B and Rice T M 1969 Phys. Rev. Lett. 22 887
7. Brinkman W F and Rice T M 1970 Phys. Rev. B 2 4302
8. Mott N F 1990 Metal-Insulator Transitions (London: Taylor & Francis)
9. Grewe N and Steglich F 1991 Handbook on the Physics and Chemistry of Rare Earths vol 14, ed K A Gschneidner Jr and L Eyring (Amsterdam: Elsevier) p 343
10. Lee P A, Rice T M, Serene J W, Sham L J and Wilkins JW 1986 Comment. Condens. Matter Phys. 12 99
11. For the latest developments, see Batlogg B, Chu W K and Gubser D (ed) 1996 Proc. 10th Anniversary HTS Workshop on Physics, Materials and Applications (Houston, TX, 1996) (Singapore: World Scientific)
12. Maple M B, Seaman C L, Gajewski D A, Dalichaouch Y, Barbetta V B, de Andrade M C, Mook H A, Lukefahr H G, Bernal O O and MacLaughlin D E 1994 J. Low Temp. Phys. 95 225
13. Pfleiderer C, McMullan G J and Lonzarich G G 1995 Physica B 206+207 847 Grosche F M, Pfleiderer C, McMullan G J, Lonzarich G G and Bernhoeft N R 1995 Physica B 206+207 20 Julian S R, Mathur N D, Grosche F M and Lonzarich G G 1996 Preprint
14. Pfleiderer C, McMullan G J and Lonzarich G G 1995 Physica B 206+207 847 Grosche F M, Pfleiderer C, McMullan G J, Lonzarich G G and Bernhoeft N R 1995 Physica B 206+207 20 Julian S R, Mathur N D, Grosche F M and Lonzarich G G 1996 Preprint
15. von Löhneysen H, Pietrus T, Portisch G, Schlager H G, Schröder A, Sieck M and Trappmann T 1994 Phys. Rev. Lett. 72 3262 Bogenberger B and von Löhneysen H 1995 Phys. Rev. Lett. 74 1016
16. von Löhneysen H, Pietrus T, Portisch G, Schlager H G, Schröder A, Sieck M and Trappmann T 1994 Phys. Rev. Lett. 72 3262 Bogenberger B and von Löhneysen H 1995 Phys. Rev. Lett. 74 1016
17. c Superconductivity ed B Doucot and J Zinn-Justin (Amsterdam: Elsevier-North-Holland)
18. c Superconductivity ed B Doucot and J Zinn-Justin (Amsterdam: Elsevier-North-Holland)
19. Voit J 1995 Rep. Prog. Phys. 58 977
20. Ralph D C, Ludwig A W W, von Delft J and Buhrman R A 1994 Phys. Rev. Lett. 72 1064; 1995 Phys. Rev. Lett. 75 770
21. Ralph D C, Ludwig A W W, von Delft J and Buhrman R A 1994 Phys. Rev. Lett. 72 1064; 1995 Phys. Rev. Lett. 75 770
22. Wingreen N S, Altshuler B L and Meir Y 1995 Phys. Rev. Lett. 75 769
23. Emery V J 1979 Highly Conducting One-dimensional Solids ed J T Devreese et al (New York: Plenum) Solyom J 1979 Adv. Phys. 28 201
24. Emery V J 1979 Highly Conducting One-dimensional Solids ed J T Devreese et al (New York: Plenum) Solyom J 1979 Adv. Phys. 28 201
25. Haldane F D M 1981 J. Phys. C: Solid State Phys. 14 2585
26. Shankar R 1994 Rev. Mod. Phys. 66 129
27. Castellani C, Di Castro C and Metzner W 1994 Phys. Rev. Lett. 72 316
28. Engelbrecht J R and Randeria M 1990 Phys. Rev. Lett. 65 1032; 1992 Phys. Rev. B 45 12 419
29. Engelbrecht J R and Randeria M 1990 Phys. Rev. Lett. 65 1032; 1992 Phys. Rev. B 45 12 419
30. Anderson P W 1990 Phys. Rev. Lett. 64 1839; 1990 Phys. Rev. Lett. 65 2306
31. Anderson P W 1990 Phys. Rev. Lett. 64 1839; 1990 Phys. Rev. Lett. 65 2306
32. Hewson A C 1993 The Kondo Problem to Heavy Fermions (Cambridge: Cambridge University Press)
33. Nozières P and Blandin A 1980 J. Physique 41 193
34. Metzner W and Vollhardt D 1989 Phys. Rev. Lett. 62 324
35. For a comprehensive and updated review, see Georges A, Kotliar G, Krauth W and Rozenberg M J 1996 Rev. Mod. Phys. 68 13 Earlier reviews on this subject include Muller-Hartmann E 1989 Int. J. Mod. Phys. 3 2169 Vollhardt D 1991 Physica B 169 277 Georges A, Kotliar G and Si Q 1992 Int. J. Mod. Phys. B 6 705 Pruschke T, Jarrell M and Freericks J K 1995 Adv. Phys. 44 187
36. For a comprehensive and updated review, see Georges A, Kotliar G, Krauth W and Rozenberg M J 1996 Rev. Mod. Phys. 68 13 Earlier reviews on this subject include Muller-Hartmann E 1989 Int. J. Mod. Phys. 3 2169 Vollhardt D 1991 Physica B 169 277 Georges A, Kotliar G and Si Q 1992 Int. J. Mod. Phys. B 6 705 Pruschke T, Jarrell M and Freericks J K 1995 Adv. Phys. 44 187
37. For a comprehensive and updated review, see Georges A, Kotliar G, Krauth W and Rozenberg M J 1996 Rev. Mod. Phys. 68 13 Earlier reviews on this subject include Muller-Hartmann E 1989 Int. J. Mod. Phys. 3 2169 Vollhardt D 1991 Physica B 169 277 Georges A, Kotliar G and Si Q 1992 Int. J. Mod. Phys. B 6 705 Pruschke T, Jarrell M and Freericks J K 1995 Adv. Phys. 44 187
38. For a comprehensive and updated review, see Georges A, Kotliar G, Krauth W and Rozenberg M J 1996 Rev. Mod. Phys. 68 13 Earlier reviews on this subject include Muller-Hartmann E 1989 Int. J. Mod. Phys. 3 2169 Vollhardt D 1991 Physica B 169 277 Georges A, Kotliar G and Si Q 1992 Int. J. Mod. Phys. B 6 705 Pruschke T, Jarrell M and Freericks J K 1995 Adv. Phys. 44 187
39. For a comprehensive and updated review, see Georges A, Kotliar G, Krauth W and Rozenberg M J 1996 Rev. Mod. Phys. 68 13 Earlier reviews on this subject include Muller-Hartmann E 1989 Int. J. Mod. Phys. 3 2169 Vollhardt D 1991 Physica B 169 277 Georges A, Kotliar G and Si Q 1992 Int. J. Mod. Phys. B 6 705 Pruschke T, Jarrell M and Freericks J K 1995 Adv. Phys. 44 187
40. Cox D 1987 Phys. Rev. Lett. 59 1240 Jarrell M, Pang H, Cox D L and Luk K H 1996 Phys. Rev. Lett. 77 1612
41. Cox D 1987 Phys. Rev. Lett. 59 1240 Jarrell M, Pang H, Cox D L and Luk K H 1996 Phys. Rev. Lett. 77 1612
42. Asayama K, Kitaoka Y and Kohori Y 1988 J. Magn. Magn. Mater. 76+77 449
43. Penney T, Milliken F P, von Molnar S, Holtzberg F and Fisk Z 1986 Phys. Rev. B 34 5959
44. Cu comes from the f-electron spin fluctuations; there is no symmetry reason for the latter to be filtered out due to special form factors of the hyperfine coupling.
45. Anderson P W, Yuval G and Hamann D R 1970 Phys. Rev. B 1 4464
46. Wilson K G 1975 Rev. Mod. Phys. 47 773
47. Andrei N, Furuya K and Lowenstein J H 1983 Rev. Mod. Phys. 55 331 Tsvelik A M and Wiegmann P B 1983 Adv. Phys. 32 453
48. Andrei N, Furuya K and Lowenstein J H 1983 Rev. Mod. Phys. 55 331 Tsvelik A M and Wiegmann P B 1983 Adv. Phys. 32 453
49. Miranda E, Dobrosavljević V and Kotliar G 1996 J. Phys.: Condens. Matter 8 9871
50. Aronson M C, Osborn R, Robinson R A, Lynn J W, Chau R, Seaman C L and Maple M B 1995 Phys. Rev. Lett. 75 725 Aronson M C, Maple M B, de Sa P, Tsvelik A M and Osborn R 1996 Preprint
51. Imai T, Slichter C P, Yoshimura K and Kosuge K 1993 Phys. Rev. Lett. 70 1002
52. Takagi H, Batlogg B, Kao H L, Kwo J, Cava R J, Krajewski J J and Peck W F Jr 1992 Phys. Rev. Lett. 69 2975
53. Hayden S M, Aeppli G, Mook H A, Perring T G, Mason T E, Cheong S-W and Fisk Z 1996 Phys. Rev. Lett. 76 1344 Si Q, Zha Y and Levin K 1994 J. Appl. Phys. 76 6935
54. Hayden S M, Aeppli G, Mook H A, Perring T G, Mason T E, Cheong S-W and Fisk Z 1996 Phys. Rev. Lett. 76 1344 Si Q, Zha Y and Levin K 1994 J. Appl. Phys. 76 6935
55. Si Q, Kim J H, Lu J P and Levin K 1990 Phys. Rev. B 42 1033
56. Bonn D A, Liang R, Riseman T M, Baar D J, Morgan D C, Zhang K, Dosanjh P, Duty T L, MacFarlane A, Morris G M, Brewer J H, Kallin C and Berlinsky A J 1993 Phys. Rev. B 47 11 314
57. Krishana K, Harris J M and Ong N P 1995 Phys. Rev. Lett. 75 3529
58. Emery V 1987 Phys. Rev. Lett. 58 2794
59. Varma C M, Schmitt-Rink S and Abrahams E 1987 Solid State Commun. 62 681
60. This model is not to be confused with the one-band extended Hubbard model. The latter refers to the standard Hubbard model generalized to include nearest-neighbour or further-neighbour interactions.
61. Si Q and Kotliar G 1993 Phys. Rev. Lett. 70 3143
62. Si Q and Kotliar G 1993 Phys. Rev. B 48 13 881
63. Kotliar G and Si Q 1993 Phys. Scr. T 49 165
64. Kotliar G and Si Q 1996 Phys. Rev. B 53 12 373
65. Perakis I, Varma C M and Ruckenstein A E 1993 Phys. Rev. Lett. 70 3467
66. Giamarchi T, Varma C M, Ruckenstein A E and Nozières P 1993 Phys. Rev. Lett. 70 3967
67. Zhang G M and Yu Lu 1994 Phys. Rev. Lett. 72 2474 Zhang G M, Su Z B and Yu Lu 1996 Phys. Rev. B 53 715
68. Zhang G M and Yu Lu 1994 Phys. Rev. Lett. 72 2474 Zhang G M, Su Z B and Yu Lu 1996 Phys. Rev. B 53 715
69. Sire C, Varma C M, Ruckenstein A E and Giamarchi T 1994 Phys. Rev. Lett. 72 2478
70. Si Q, Rozenberg M, Kotliar G and Ruckenstein A E 1994 Phys. Rev. Lett. 72 2761
71. Si Q and Smith J L 1996 Phys. Rev. Lett. 77 3391
72. Coleman P 1984 Phys. Rev. B 29 3035
73. Read N and Newns D M 1983 J. Phys. C: Solid State Phys. 16 3273
74. Auerbach A and Levin K 1986 Phys. Rev. Lett. 57 877
75. Millis A J and Lee P A 1987 Phys. Rev. B 35 3394
76. Falicov L M and Kimball J C 1969 Phys. Rev. Lett. 22 997
77. Schrieffer J R and Wolff PA 1966 Phys. Rev. 149 491
78. Affleck I and Ludwig A W W 1991 Nucl. Phys. B 360 641
79. Varma C M and Yafet Y 1976 Phys. Rev B 13 2950 Varma C M 1976 Rev. Mod. Phys. 48 219
80. Varma C M and Yafet Y 1976 Phys. Rev B 13 2950 Varma C M 1976 Rev. Mod. Phys. 48 219
81. Haldane F D M 1978 Phys. Rev. Lett. 40 416; 1978 J. Phys. C: Solid State Phys. 11 5015
82. Haldane F D M 1978 Phys. Rev. Lett. 40 416; 1978 J. Phys. C: Solid State Phys. 11 5015
83. Krishnamurthy H R, Wilson K G and Wilkins J W 1980 Phys. Rev. B 21 1044
84. For recent theoretical discussions see, for example, Furukawa N 1994 J. Phys. Soc. Japan 63 3214 Millis A J, Littlewood P B and Shraiman B I 1995 Phys. Rev. Lett. 74 5144 Roder H, Zang J and Bishop A R 1996 Phys. Rev. Lett. 76 1356 Sarkar S 1996 J. Phys.: Condens. Matter 8 L515
85. For recent theoretical discussions see, for example, Furukawa N 1994 J. Phys. Soc. Japan 63 3214 Millis A J, Littlewood P B and Shraiman B I 1995 Phys. Rev. Lett. 74 5144 Roder H, Zang J and Bishop A R 1996 Phys. Rev. Lett. 76 1356 Sarkar S 1996 J. Phys.: Condens. Matter 8 L515
86. For recent theoretical discussions see, for example, Furukawa N 1994 J. Phys. Soc. Japan 63 3214 Millis A J, Littlewood P B and Shraiman B I 1995 Phys. Rev. Lett. 74 5144 Roder H, Zang J and Bishop A R 1996 Phys. Rev. Lett. 76 1356 Sarkar S 1996 J. Phys.: Condens. Matter 8 L515
87. For recent theoretical discussions see, for example, Furukawa N 1994 J. Phys. Soc. Japan 63 3214 Millis A J, Littlewood P B and Shraiman B I 1995 Phys. Rev. Lett. 74 5144 Roder H, Zang J and Bishop A R 1996 Phys. Rev. Lett. 76 1356 Sarkar S 1996 J. Phys.: Condens. Matter 8 L515
88. Haldane F D M 1977 Phys. Rev. B 15 2477
89. Guinea F, Hakim V and Muramatsu A 1985 Phys. Rev. B 32 4410
90. Aeppli G and Fisk Z 1992 Comment. Condens. Matter Phys. 16 155
91. Rice T M and Ueda K 1985 Phys. Rev. Lett. 55 995
92. Brandow B H 1988 Phys. Rev. B 37 250
93. Grilli M, Raimondi R, Castellani C, Di Castro C and Kotliar G 1990 Phys. Rev. Lett. 66 1236
94. Cardy J L 1981 J. Phys. A: Math. Gen. 14 1407 See also Chakravarty S and Hirsch J 1982 Phys. Rev. B 25 3273
95. Cardy J L 1981 J. Phys. A: Math. Gen. 14 1407 See also Chakravarty S and Hirsch J 1982 Phys. Rev. B 25 3273
96. Leggett A J, Chakravarty S, Dorsey A T, Fisher M P A and Zwerger W 1987 Rev. Mod. Phys. 59 1 (erratum: 1995 67 215)
97. Wiegmann P B and Finkelstein A M 1978 Sov. Phys.-JETP 48 102
98. Schlottmann P 1982 Phys. Rev. B 25 4815
99. Kane C L and Fisher M P A 1992 Phys. Rev. B 46 15 233
100. For a review, see Sachdev S 1995 Proc. 19th IUPAP Int. Conf. on Statistical Physics (Xiamen, People's Republic of China) ed B-L Hao (Singapore: World Scientific) at press
101. Furusaki A and Nagaosa N 1993 Phys. Rev. B 47 4631
102. Nozières P 1974 J. Low Temp. Phys. 17 31
103. While the Kondo problem and the usual Anderson model with infinite bandwidth are exactly soluble using the Bethe ansatz method [33] and conformai field theory [61], the Anderson model with an additional density-density interaction has not been solved this way.
104. Toulouse G 1969 C. R. Acad. Sci., Paris 268 1200
105. Heidenreich R, Seiler R and Uhlenbrock D A 1980 J. Stat. Phys. 22 27 and references therein
106. Neuberger H 1975 Thesis Tel Aviv University
107. Blume M, Emery V J and Luther A 1971 Phys. Rev. Lett. 26 1547 Emery V J and Luther A 1974 Phys. Rev. B 9 215
108. Blume M, Emery V J and Luther A 1971 Phys. Rev. Lett. 26 1547 Emery V J and Luther A 1974 Phys. Rev. B 9 215
109. Si Q, Kotliar G and Georges A 1992 Phys. Rev. B 46 1261
110. Zhang F C and Rice T M 1988 Phys. Rev. B 37 3759
111. Emery V J and Reiter G 1990 Phys. Rev. B 41 7247
112. Jarrell M 1992 Phys. Rev. Lett. 69 168
113. Rozenberg M, Zhang X Y and Kotliar G 1992 Phys. Rev. Lett. 69 1236
114. Georges A and Krauth W 1992 Phys. Rev. Lett. 69 1240
115. Caffarel M and Krauth W 1994 Phys. Rev. Lett. 72 1545
116. Jones B A, Varma C M and Wilkins J W 1988 Phys. Rev. Lett. 61 125
117. Schiller A and Ingersent K 1995 Phys. Rev. Lett. 75 113
118. Dobrosavljević V and Kotliar G 1994 Phys. Rev. B 50 1430
119. Kajueter and Kotliar have independently constructed related mean-field equations in the context of a spinless one-band fermion model with a semi-circular density of states: Kotliar G 1996 private communications Kajueter H 1996 PhD Thesis Rutgers University, Piscataway, NJ
120. Kajueter and Kotliar have independently constructed related mean-field equations in the context of a spinless one-band fermion model with a semi-circular density of states: Kotliar G 1996 private communications Kajueter H 1996 PhD Thesis Rutgers University, Piscataway, NJ
121. Withoff D and Fradkin E 1990 Phys. Rev. Lett. 64 1835 Cassanello C R and Fradkin E 1996 Phys. Rev. B 53 15 079
122. Withoff D and Fradkin E 1990 Phys. Rev. Lett. 64 1835 Cassanello C R and Fradkin E 1996 Phys. Rev. B 53 15 079
123. Ingersent K 1996 Phys. Rev. B at press
124. Si Q 1996 unpublished
125. Bhattacharjee J, Chakravarty S, Richardson J L and Scalapino D J 1981 Phys. Rev. B 24 3862
126. Imbrie J Z and Newman C M 1988 Commun. Math. Phys. 118 303
127. Smith J L and Si Q 1996 unpublished
128. Kang J S, Allen J W, Maple M B, Torikachvili M S, Ellis W P, Pate B B, Shen Z X, Yeh J J and Linday I 1989 Phys. Rev. B 39 13 529
129. Maple M B, Gajewski D A, Seaman C L and Allen J W 1994 Physica B 199+200 423
130. See, for example, Kastner M 1993 Phys. Today 46 24
131. Si Q 1996 Preprint cond-mat/9507050; 1996 Proc. 10th Anniversary HTS Workshop on Physics, Materials and Applications (Houston, TX, 1996) ed B Batlogg, W K Chu and D Gubser (Singapore: World Scientific)
132. Costi T A 1996 Preprint