dx2-y2 superconductivity and the Hubbard model

Advances in Physics

Volumn 51, Issue 7, 2002, Pages 1587-1667

  Bulut, N ^a  

^a KOÇ UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MONTE CARLO METHODS; QUANTUM THEORY; TWO DIMENSIONAL;

DENSITY MATRIX RENORMALIZATION GROUP CALCULATION; HUBBARD MODEL; QUANTUM MONTE CARLO;

SUPERCONDUCTIVITY;

EID: 0036865119     PISSN: 00018732     EISSN: None     Source Type: Journal    
DOI: 10.1080/00018730210155142     Document Type: Article

References (200)

1. Abrahams, E., Balatsky, A., Schrieffer, J. R., and Allen, P. B., 1993, Phys. Rev. B, 47, 513.
2. Abrahams, E., Balatsky, A., Scalapino, D. J., and Schrieffer, J. R., 1995, Phys. Rev. B, 52, 1271.
3. Aebi, P., Osterwalder, J., Schwaller, P., Schlapbach, L., Shimoda, M., Mochiku, T. and Kadowaki, K., 1994, Phys. Rev. Lett., 72, 2757.
4. Anderson, P. W., 1987, Science, 235, 1196.
5. Anderson, P. W., 1997, Adv. Phys., 46, 3.
6. Anderson, P. W., Baskaran, G., Zou, Z., and Hsu, T., 1987, Phys. Rev. Lett., 58, 2790.
7. Anderson, P. W., and Zou, Z., 1988, Phys. Rev. Lett., 60, 132.
8. Balatsky, A. V., and Abrahams, E., 1992, Phys. Rev. B, 45, 13125.
9. Balents, L., and Fisher, M. P. A., 1996, Phys. Rev. B, 53, 12133.
10. Becca, F., Capone, M., and Sorella, S., 2000, Phys. Rev. B, 62, 12700.
11. Bednorz, J. G., and Müller, K. A., 1986, Z. Phys. B, 64, 189.
12. Beenen, J., and Edwards, D. M., 1995, J. Low Temp. Phys., 99, 403
13. Beenen, J., and Edwards, D. M., 1995, Phys. Rev. B, 52, 13636.
14. Berezinskii, V. L., 1974, Pisma Zh. eksp. teor. Fiz., 20, 628 [1974, JETP Lett., 20, 287].
15. Berk, N. F., and Schrieffer, J. R., 1966, Phys. Rev. Lett., 17, 433.
16. Bickers, N. E., Scalapino, D. J., and Scalletar, R. T., 1987, Int. J. Mod. Phys. B, 1, 687.
17. Bickers, N. E., Scalapino, D. J., and White, S. R., 1989, Phys. Rev. Lett., 62, 961.
18. Bickers, N. E., and White, S. R., 1991, Phys. Rev. B, 43, 8044.
19. Birgeneau, R. J., 1990, in Physical Properties of High Temperature Superconductors II, edited by D. M. Ginsberg (Singapore: World Scientific).
20. Blankenbecler, R., Scalapino, D. J., and Sugar, R. L., 1981, Phys. Rev. D, 24, 2278.
21. Bonca, J., Gubernatis, J. E., Guerrero, M., Jeckelmann, E., and White, S. R., 2000, Phys. Rev. B, 61, 3251.
22. Bulut, N., Hone, D., Scalapino, D. J., and Bickers, N. E., 1990, Phys. Rev. B, 41, 1797.
23. Bulut, N., 1990 in Dynamics of Magnetic Fluctuations in High-Temperature Superconductors, edited by G. Reiter, P. Horsch, and G.C. Psaltakis (Plenum).
24. Bulut, N., and Scalapino, D. J., 1991, Phys. Rev. Lett., 67, 2898.
25. Bulut, N., and Scalapino, D. J., 1992, Phys. Rev. Lett., 68, 706.
26. Bulut, N., Scalapino, D. J., and White, S. R., 1993, Phys. Rev. B, 47, 2742
27. Bulut, N., Scalapino, D. J., and White, S. R., 1993, Phys. Rev. B, 47, 6157
28. Bulut, N., Scalapino, D. J., and White, S. R., 1993 Phys. Rev. B, 47, 14599.
29. Bulut, N., Scalapino, D. J., and White, S. R., 1994a, Phys. Rev. Lett., 72, 705
30. Bulut, N., Scalapino, D. J., and White, S. R., 1994a, Phys. Rev. B, 50, 7215
31. Bulut, N., Scalapino, D. J., and White, S. R., 1994a, Phys. Rev. Lett., 73, 748.
32. Bulut, N., Scalapino, D. J., and White, S. R., 1994b, Phys. Rev. B, 50, 9623.
33. Bulut, N., Scalapino, D. J., and White, S. R., 1995, Physica C, 246, 85.
34. Bulut, N., and Scalapino, D. J., 1995, J. Phys. Chem. Solids, 56, 1597.
35. Bulut, N., 1996, Tr. J. Phys., 20, 548.
36. Bulut, N., and Scalapino, D. J., 1996, Phys. Rev. B, 54, 14971.
37. Calandra, M., Becca, F., and Sorella, S., 1998, Phys. Rev. Lett., 81, 5185.
38. Chen, L., Bourbonnais, C., Li, T., and Tremblay, A.-M. S., 1991, Phys. Rev. Lett., 66, 369.
39. Chen, Y. C., Moreo, A. Ortolani, F., Dagotto, E., and Lee, T. K., 1994, Phys. Rev. B, 50, 655.
40. Cyrot, M., 1986, Solid State Commun., 60, 253.
41. Dagotto, E., Ortolani, F., and Scalapino, D. J., 1991, Phys. Rev. B, 46, 3183
42. Dagotto, E., Moreo, A., Ortolani, F., Riera, J., and Scalapino, D. J., 1991, Phys. Rev. Lett., 67, 1918.
43. Dagotto, E., Riera, J., and Scalapino, D. J., 1992a Phys. Rev. B, 45, 5744.
44. Dagotto, E., Moreo, A., Ortolani, F., Poilblanc, D., and Riera, J., 1992b, Phys. Rev. B, 45, 10741.
45. Dagotto, E., Moreo, A., Ortolani, F., Riera, J., and Scalapino, D. J., 1992c, Phys. Rev. B, 45, 10107.
46. Dagotto, E., 1994, Rev. Mod. Phys., 66, 763.
47. Dagotto, E., and Nazarenko, A., and Boninsegni, M., 1994, Phys. Rev. Lett., 73, 728.
48. Dagotto, E., and Rice, T. M., 1996, Science 271, 618.
49. Dahm, T., and Tewordt, L., 1995, Physica C, 246, 61
50. Dahm, T., and Tewordt, L., 1995, Phys. Rev. B, 52, 1297
51. Dahm, T., and Tewordt, L., 1995, Phys. Rev. Lett., 74, 793.
52. Dahm, T., and Bulut, N., 1996. unpublished.
53. Dahm, T., and Scalapino, D. J., 1997, Physica C, 288, 33.
54. Damascelli, A., Lu, D. H., and Shen, Z.-X., 2001, J. electron Spectr. relat. Phenom., 117-118, 165.
55. Daul, S., Scalapino, D. J., and White, S. R., 2000, Phys. Rev. Lett., 84, 4188.
56. Dessau, D. S., Shen, Z. X., King, D. M. Marshall, D. S., Lombardo, L. W., Dickinson, P. H., Loeser, A. G., Dicarlo, J., Park, C. H., Kapitulnik, A., and Spicer, W. E., 1993, Phys. Rev. Lett., 71, 2781.
57. Ding, H., Yokoya, T., Campuzano, J. C., Takahashi, T., Randeria, M., Norman, M. R., Mochiku, T., Hadowaki, K., and Giapintzakis, J., 1996, Nature, 382, 51.
58. Doniach, S., and Engelsberg, S., 1966, Phys. Rev. Lett., 17, 750.
59. Dopf, G., Muramatsu, A., and Hanke, W., 1992, Phys. Rev. Lett., 68, 353.
60. Dopf, G., Wagner, J., Dieterich, P., Muramatsu, A., and Hanke, W., 1992b Phys. Rev. Lett., 68, 2082.
61. Dorneich, A., Zacher, M. G., Gröber, C., and Eder, R., 2000, Phys. Rev. B, 61, 12816.
62. Duffy, D., and Moreo, A., 1995, Phys. Rev. B, 51, 11882.
63. Dzyaloshinskii, I., 1987, Zh. eksp. teor. Fiz., 93 1487 [1987, Sov. Phys. JETP 66, 848].
64. Emery, V. J., 1986, Synth. Met., 13, 21.
65. Emery, V. J., Kivelson, S. A., and Lin, H. Q., 1990, Phys. Rev. Lett., 64, 475.
66. Endres, H., Noack, R. M., Hanke, W., Poilblanc, D., and Scalapino, D. J., 1996, Phys. Rev. B, 53, 5530.
67. Furukawa, N., and Imada, M., 1991, J. phys. Soc. Jpn., 60, 3604.
68. Furukawa, N., and Imada, M., 1992, J. phys. Soc. Jpn., 61, 3331.
69. Furukawa, N., Rice, T. M., and Salmhofer, M., 1998, Phys. Rev. Lett., 81, 3195.
70. Georges, A., Kotliar, G., Krauth, W., and Rozenberg, M. J., 1996, Rev. Mod. Phys. 68, 13.
71. Gofron, K., Campuzano, J. C., Ding, H., Gu, C., Liu, R., Dabrowski, B., Veal, B. W., Cramer, W., and Jennings, G., 1993, J. phys. Chem. Solids, 54, 1193.
72. Gopalan, S., Rice, T. M., and Sigrist, M., 1994, Phys. Rev. B, 49, 8901.
73. Grober, C., Eder, R., and Hanke, W., 2000, Phys. Rev. B, 62, 4336.
74. Guerrero, M., Ortiz, G., and Gubernatis, J. E., 1999, Phys. Rev. B, 59, 1706.
75. Halboth, C. J., and Metzner, W., 2000, Phys. Rev. B, 61, 7364.
76. Hardy, W. N., Bonn, D. A., Morgan, D. C., Liang, R., and Zhang, K., 1993, Phys. Rev. Lett., 70, 3999.
77. Haas, S., Moreo, A., and Dagotto, E., 1995, Phys. Rev. Lett., 74, 4281.
78. Hayward, C. A., Poilblanc, D., Noack, R. M., Scalapino, D. J., and Hanke, W., 1995, Phys. Rev. Lett., 75, 926.
79. Hellberg, C. S., and Manousakis, E., 1997, Phys. Rev. Lett., 78, 4609.
80. Hellberg, C. S., and Manousakis, E., 1999, Phys. Rev. Lett., 83, 132.
81. Hellberg, C. S., and Manousakis, E., 2000, Phys. Rev. B, 61, 11787.
82. Hirsch, J. E., 1985, Phys. Rev. Lett., 54, 1317
83. Hirsch, J. E., 1985, Phys. Rev. B, 31, 4403.
84. Hirsch, J. E., and Tang, S., 1989, Phys. Rev. Lett., 62, 591.
85. Honerkamp, C. Salmhofer, M., Furukawa, N., and Rice, T. M., 2001, Phys. Rev. B, 63, 035109.
86. Hubbard, J., 1963, Proc. Roy. Soc. A, 276, 238.
87. Huscroft, C., Jarrell, M., Maier, Th., Moukouri, S., and Tahvildarzadeh, A. N., 2001, Phys. Rev. Lett., 86, 139.
88. Husslein, T., Morgenstern, I., Newns, D. M., Pattnaik, P. C., Singer, J. M., and Matuttis, H. G., 1996, Phys. Rev. B, 54, 16179.
89. Hybertsen, M. S., Stechel, E. B., Schluter, M., and Jennison, D. R., 1990, Phys. Rev. B, 41, 11068.
90. Imada, M., 1991, J. phys. Soc. Jpn., 60, 2740.
91. Imada, M., and Kohno, M., 2000, Phys. Rev. Lett., 84, 143.
92. Imai, T., Slichter, C. P., Yoshimura, K., and Kosuge, K., 1993, Phys. Rev. Lett., 70, 1002.
93. Itoh, Y., Yasuoka, H., Fujiwara, Y., Ueda, Y., Machi, T., Tomeno, I., Tai, K., Koshizuka, N., and Tanaka, S., 1992, J. Phys. Soc. Jpn., 61, 1287.
94. Jaklic, J., and Prelovsek, P., 2000, Adv. Phys., 49, 1.
95. Jarrell, M., 1992, Phys. Rev. Lett., 69, 168.
96. Jarrell, M., and Gubernatis, J. E., 1996, Phys. Rep., 269, 134.
97. Jeckelmann, E., Scalapino, D. J., and White, S. R., 1998, Phys. Rev. B, 58, 9492.
98. Kampf, A. P., and Schrieffer, J. R., 1990a, Phys. Rev. B, 41, 6399.
99. Kampf, A. P., and Schrieffer, J. R., 1990b Phys. Rev. B, 42, 7967.
100. Kanamori, J., 1963, Prog. theor. Phys., 30, 275.
101. Kivelson, S. A., Rokhsar, D. S., and Sethna, J. P., 1987, Phys. Rev. B, 35, 8865.
102. Koike, S., Yamaji, K., and Yanagisawa, T., 2000, Physica B, 284, 417.
103. Lederer, P., Monthambaux, G., Poilblanc, D., 1987, J. Phys. 48, 1613.
104. Leggett, A., J., 1975, Rev. mod. Phys., 47, 331.
105. Liu, Z., and Manousakis, E., 1992, Phys. Rev. B, 44, 2414.
106. Loh, E. Y., Gubernatis, J. E., Scalettar, R. T., White, S. R., Scalapino, D. J., and Sugar, R. L., 1990, Phys. Rev., B, 41, 9301.
107. Luo, J., and Bickers, N. E., 1993, Phys. Rev. B, 47, 12153.
108. 2S-HTSC VI, Proceedings of the International Conference on Materials and Mechanisms of Superconductivity and High Temperature Superconductors, Physica C, 341-348.
109. Machida, K., 1989, Physica C, 158, 192.
110. Mahan, G. D., 1981, Many-particle Physics (New York: Plenum).
111. Mahajan, A. V., Alloul, H., Collin, G., Marucco, J. F., 1994, Phys. Rev. Lett., 72, 3100.
112. Mahajan, A. V., Alloul, H., Collin, G., Marucco, J. F., 2000, Euro. Phys. J. B, 13, 457.
113. Maier, Th., Jarrell, M., Pruschke, T., and Keller, J., 2000, Phys. Rev. Lett., 85, 1524.
114. Martindale, J. A., Barrett, S. E., Klug, C. A., O'Hara, K. E., Desoto, S. M., Slichter, C. P., Friedman, T. A., and Ginsberg, D. M., 1992, Phys. Rev. Lett., 68, 702.
115. Metzner, W., and Vollhardt, D., 1989, Phys. Rev. Lett., 62, 324.
116. Mila, F., and Rice, T. M., 1989, Physica C, 157, 561.
117. Millis, A. J., Monien, H., and Pines, D., 1990, Phys. Rev. B, 42, 167.
118. Miyake, K., Schmitt-Rink, S., and Varma, C. M., 1986, Phys. Rev. B, 34, 6554.
119. Monthoux, P., Balatsky, A. V., and Pines, D., 1991, Phys. Rev. Lett., 67, 3448
120. Monthoux, P., Balatsky, A. V., and Pines, D., 1991, Phys. Rev. B, 46, 14803.
121. Monthoux, P., and Pines, D., 1992, Phys. Rev. Lett., 69, 961
122. Monthoux, P., and Pines, D., 1991, Phys. Rev. B, 50, 16015.
123. Monthoux, P., and Scalapino, D. J., 1994, Phys. Rev. Lett., 72, 1874.
124. Moreo, A., and Scalapino, D. J. 1991, Phys. Rev. B, 43, 8211.
125. Moreo, A., and Scalapino, D. J., and Dagotto, E., 1991, Phys. Rev. B, 43, 11442.
126. Moreo, A., 1992, Phys. Rev. B, 45, 5059.
127. Moreo, A., Haas, S., Sandvik, A. W., and Dagotto, E., 1995, Phys. Rev. B, 51, 12045.
128. Moriya, T., Takahashi, Y., and Ueda, K., 1990, J. Phys. Soc. Jpn., 59, 2905.
129. Moriya, T., and Ueda, K., 2000, Adv. Phys., 49, 555.
130. Müller-Hartmann, E., 1989, Z. Phys. B, 74, 507.
131. Muramatsu, A., 1999, in Quantum Monte Carlo Methods in Physics and Chemistry, edited by M. P. Nightingale and C. J. Umrigar (Kluwer: Academic).
132. Nakanishi, T., Yamaji, K., and Yanagisawa, T., 1997, J. phys. Soc. Jpn., 66, 294.
133. Newns, D. M., Tsuei, C. C., Huebener, R. P., Van Bentum, P. J. M., Pattnaik, P. C., and Chi, C. C., 1994, Phys. Rev. Lett., 73, 1695.
134. Noack, R. M., White, S. R., and Scalapino, D. J., 1994, Phys. Rev. Lett., 73, 882.
135. Noack, R. M., White, S. R., and Scalapino, D. J., 1995, Europhys. Lett., 30, 163.
136. Noack, R. M., White, S. R., and Scalapino, D. J., 1996, Physica C, 270, 281.
137. Noack, R. M., Bulut, N., Scalapino, D. J., and Zacher, M. G., 1997, Phys. Rev. B, 56, 7162.
138. Pao, C. H., and Bickers, N. E., 1994, Phys. Rev. Lett., 72, 1870.
139. Pao, C,-H., and Bickers, N. E., 1995, Phys. Rev. B, 51, 16310.
140. Pennington, C. H., and Slichter, C. P., 1990, in Physical Properties of High Temperature Superconductors II, edited by D. M. Ginsberg (Singapore: World Scientific).
141. Pennington, C. H., and Slichter, C. P., 1991, Phys. Rev. Lett., 66, 381.
142. Poilblanc, D., and Rice, T. M., 1989, Phys. Rev. B, 39, 9749.
143. Poilblanc, D., 1993, Phys. Rev. B, 48, 3368
144. Poilblanc, D., 1994, Phys. Rev. B, 49, 1477.
145. Preuss, R., Muramatsu, A., von der Linden, W., Dietrich, P., Assaad, F. F., and Hanke, W., 1994, Phys. Rev. Lett., 73, 732.
146. Preuss, R., Hanke, W., and von der Linden, W., 1995, Phys. Rev. Lett., 75, 1344.
147. Preuss, R., Hanke, W., Gröber, C., and Evertz, H. G., 1997, Phys. Rev. Lett., 79, 1122.
148. Pruschke, T., Jarrell, M., and Freericks, J. K., 1995, Adv. Phys., 42, 187.
149. Putikka, W. O., Luchini, M. U., and Rice, T. M., 1992, Phys. Rev. Lett., 68, 538.
150. Putikka, W. O., Glenister, R. L., Singh, R. R. P., and Tsunetsugu, H., 1994, Phys. Rev. Lett., 73, 170.
151. Rommer, S., White, S. R., and Scalapino, D. J., 2000, Phys. Rev. B, 61, 13424.
152. Ronning, F., Kim, C., Feng, D. L., Marshall, D. S., Loeser, A. G., Miller, L. L., Eckstein, J. N., Bozovic, I., and Shen, Z. X., 1998, Science 282, 2067.
153. Scalapino, D. J., 1993, in Proceedings of the Summer School on Modern Perspectives in Many-Body Physics, Canberra (Singapore: World Scientific).
154. Scalapino, D. J., 1995, Phys. Rep., 250, 330.
155. Scalapino, D. J., Loh, E. Jr., and Hirsch, J. E., 1986, Phys. Rev. B, 34, 8190.
156. Scalapino, D. J., White, S. R., and Zhang, S. C., 1992, Phys. Rev. Lett., 68, 2830.
157. Scalapino, D. J., White, S. R., and Zhang, S. C., 1993, Phys. Rev. B, 47, 7995.
158. Scalettar, R. T., Scalapino, D. J., Sugar, R. L., and White, S. R., 1191, Phys. Rev. B, 44, 770.
159. Schrieffer, J. R., Wen, X. G., and Zhang, S. C., 1988, Phys. Rev. Lett., 60, 944.
160. Schrieffer, J. R., Wen, X. G., and Zhang, S. C., 1989, Phys. Rev. B, 39, 11663.
161. Schrieffer, J. R., 1994, Solid State Commun., 92, 129.
162. Schrieffer, J. R., 1995 J. low Temp. Phys., 99, 397.
163. Schulz, H. J., 1987, Europhys. Lett. 4, 609.
164. Schulz, H. J., 1989, J. Physique, 50, 2833.
165. Schulz, H. J., 1999, Phys. Rev. B, 59, R2471.
166. Shen, Z.-X., Dessau, D. S., Wells, B. O., King, D. M., Speicer, W. E., Arko, A. J., Marshall, D., Lombardo, L. W., Kapitulnik, A., Dickinson, P., Doniach, S., Dicarlo, J., Loeser, T., and Park, C. H., 1993, Phys. Rev. Lett., 70, 1553.
167. Shen, Z.-X., and Dessau, D. S., 1995, Phys. Rep., 253, 1.
168. Silver, R. N., Silvia, D., S., and Gubernatis, J. E., 1990, Phys. Rev. B, 41, 2380.
169. Takigawa, M., 1990, in Dynamics of Magnetic Fluctuations in High-Temperature Superconductors, edited by G. Reiter, P. Horsch, and G.C. Psaltakis (Plenum).
170. Takigawa, M., Smith, J. L., and Hults, W. L., 1991, Physica C, 185, 1105
171. Takigawa, M., Smith, J. L., and Hults, W. L., 1991 Phys. Rev. B, 44, 7764.
172. Tranquada, J. M., Sternlieb, B. J., Axe, J. D., Nakamura, Y., and Uchida, S., 1995, Nature, 375, 561.
173. Tsuei, C. C., Chi, C. C., Newns, D. M., Pattnaik, P. C., and Daumling, M., 1992, Phys. Rev. Lett., 69, 2134.
174. Tsuei, C. C., Kirtley, J. R., Chi, C. C., Yu-Jahnes, L. S., Gupta, A., Shaw, T., Sun, J. Z., and Ketchen, M. B., 1994, Phys. Rev. Lett., 73, 593.
175. Tsuei, C. C., and Kirtley, J. R., 2000, Rev. mod. Phys., 72, 969.
176. Van Harlingen, D., 1995, Rev. mod. Phys., 67, 515.
177. Varma, C. M., Littlewood, P. B., Schmitt-Rink, S., Abrahams, E., and Ruckenstein, A. E., 1989, Phys. Rev. Lett., 63, 1996.
178. Vekic, M., and White, S. R., 1993, Phys. Rev. B, 47, 1160.
179. White, S. R., Scalapino, D. J., Sugar, R. L., Bickers, N. E., and Scalettar, R. T., 1989a, Phys. Rev. B, 39, 839.
180. White, S. R., Scalapino, D. J., Sugar, R. L., Loh, E. Y., Gubernatis, J. E., and Scalettar, R. T., 1989b, Phys. Rev. B, 40, 506.
181. White, S. R., Scalapino, D. J., Sugar, R. L., and Bickers, N. E., 1989c, Phys. Rev. Lett., 63, 1523.
182. White, S. R., 1991, Phys. Rev. B, 44, 4670
183. White, S. R., 1992, Phys. Rev. B, 46, 5678.
184. White, S. R., 1992, Phys. Rev. Lett., 69, 2863.
185. White, S. R., 1993, Phys. Rev. B, 48, 10345.
186. White, S. R., and Noack, R. M., 1992, Phys. Rev. Lett., 68, 3487.
187. White, S. R., and Scalapino, D., 1998a, Phys. Rev. Lett., 80, 1272
188. White, S. R., and Scalapino, D., 1998a, Phys. Rev. Lett., 81, 3227.
189. White, S. R., and Scalapino, D., 1998b, Phys. Rev. B, 57, 3031.
190. White, S. R., and Scalapino, D., 1999, Phys. Rev. B, 60, 753.
191. White, S. R., and Scalapino, D., 2000, Phys. Rev. B, 61, 6320.
192. Wollman, D. A., van Harlingen, D. J., Lee, W. C., Ginsberg, D. M., and Leggett, A. J., 1993, Phys. Rev. Lett., 71, 2134.
193. Xiao, G., Cieplak, M. Z., Xiao, J. Q., and Chien, C. L., 1990, Phys. Rev. B, 42, 8752.
194. Yamaji, K., and Shimoi, Y., 1994, Physica C, 222, 349.
195. Yamaji, K., and Yanagisawa, T., Nakanishi, T., and Koike, S., 1998, Physica C, 340, 225.
196. Zaanen, J., and Gunnarson, O., 1989, Phys. Rev. B, 40, 7391.
197. Zacher, M. G., Arrigoni, E., Hanke, W., and Schrieffer, J. R., 1998, Phys. Rev. B, 57, 6370.
198. Zanchi, D., and Schulz, H. J., 2000, Phys. Rev. B, 61, 13609.
199. Zhang, S., Carlson, J., and Gubernatis, J. E., 1995, Phys. Rev. Lett., 74, 3652.
200. Zhang, S., Carlson, J., and Gubernatis, J. E., 1997, Phys. Rev. Lett., 78, 4486.