SO(5) theory of antiferromagnetism and superconductivity

Reviews of Modern Physics

Volumn 76, Issue 3 I, 2004, Pages 909-974

  Demler, Eugene ^a   Hanke, Werner ^b   Zhang, Shou Cheng ^c  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF WÜRZBURG   (Germany)

^c STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 13144288978     PISSN: 00346861     EISSN: None     Source Type: Journal    
DOI: 10.1103/RevModPhys.76.909     Document Type: Review

References (324)

1. Abanov, A., A. V. Chubukov, and J. Schmalian, 2001, J. Electron Spectrosc. Relat. Phenom. 117, 129.
2. Abrikosov, A. A., 2000, Physica C 341-348, 97.
3. Abrikosov, A. A., L. P. Gorkov, and I. E. Dzyaloshinski, 1993, Methods of Quantum Field Theory in Statistical Physics (Dover, New York).
4. Affleck, I., and J. B. Marston, 1988, Phys. Rev. B 37, 3774.
5. Aharony, A., 2002, Phys. Rev. Lett. 88, 059703.
6. Alama, S., A. J. Berlinsky, L. Bronsard, and T. Giorgi, 1999, Phys. Rev. B 60, 6901.
7. Allen, S., H. Touchette, S. Moukouri, Y. M. Vilk, and A. M. S. Tremblay, 1999, Phys. Rev. Lett. 83, 4128.
8. Altman, E., and A. Auerbach, 2002, Phys. Rev. B 65, 104508.
9. Andersen, B. M., H. Bruus, and P. Hedegard, 2000, Phys. Rev. B 61, 6298.
10. Andersen, B. M., P. Hedegard, and H. Bruus, 2003, J. Low Temp. Phys. 131, 281.
11. Anderson, J. T., and A. M. Goldman, 1970, Phys. Rev. Lett. 25, 743.
12. Anderson, P. W., 1987, Science 235, 1196.
13. c Cuprate Superconductors (Princeton University, Princeton, NJ).
14. Anderson, P. W., P. A. Lee, M. Randeria, T. M. Rice, N. Trivedi, and F. C. Zhang, 2003, cond-mat/0311467.
15. Ando, Y., G. S. Boebinger, A. Passner, T. Kimura, and K. Kishio, 1995, Phys. Rev. Lett. 75, 4662.
16. Ando, Y. G. S. Boebinger, A. Passner, N. L. Wang, C. Geibel, and F. Steglich, 1996, Phys. Rev. Lett. 77, 2065.
17. Arovas, D. P., A. J. Berlinsky, C. Kallin, and S. C. Zhang, 1997, Phys. Rev. Lett. 79, 2871.
18. Arrigoni, E., and W. Hanke, 1999, Phys. Rev. Lett. 82, 2115.
19. Arrigoni, E., and W. Hanke, 2000, Phys. Rev. B 62, 11770.
20. Arumugam, S., N. Mori, N. Takeshita, H. Takashima, T. Noda, H. Eisaki, and S. Uchida, 2002, Phys. Rev. Lett. 88, 247001.
21. Assaad, F. F., and M. Imada, 1998, Phys. Rev. B 58, 1845.
22. Auerbach, A., 1994, Interacting Electrons and Quantum Magnetism (Springer, New York).
23. Auerbach, A., and E. Altman, 2000, Phys. Rev. Lett. 85, 3480.
24. Auerbach, A., F. Berruto, and L. Capriotti, 2000, in Field Theories for Low-dimensional Condensed Matter Systems - Spin Systems and Strongly Correlated Electrons, edited by G. Morandi, P. Sodano, A. Tagliacozzo, and V. Tognetti (Springer, New York), Chap. 5.
25. Balents, L., M. P. A. Fisher, and C. Nayak, 1998, Int. J. Mod. Phys. B 12, 1033.
26. Balents, L., M. P. A. Fisher, and C. Nayak, 1999, Phys. Rev. B 60, 1654.
27. Bardasis, A., and J. R. Schrieffer, 1961, Phys. Rev. 121, 1050.
28. Bardeen, J., L. N. Cooper, and J. R. Schrieffer, 1957, Phys. Rev. 108, 1175.
29. Barner, J. B., C. T. Rogers, A. Inam, R. Ramesh, and S. Bersey, 1991, Appl. Phys. Lett. 59, 742.
30. Barzykin, V., and D. Pines, 1995, Phys. Rev. B 52, 13 585.
31. Baskaran, G., and P. W. Anderson, 1998, J. Phys. Chem. Solids 59, 1780.
32. Bazaliy, Y B., E. Demler, and S. C. Zhang, 1997, Phys. Rev. Lett. 79, 1921.
33. Bednorz, J. G., and K. A. Müller, 1986, Z. Phys. B: Condens. Matter 64, 189.
34. Bernardet, K., G. G. Batrouni, J. L. Meunier, G. Schmid, M. Troyer, and A. Dorneich, 2002, Phys. Rev. B 65, 104519.
35. Blumberg, G., B. P. Stojkovic, and M. V. Klein, 1995, Phys. Rev. B 52, 15 741.
36. Boebinger, G. S., Y. Ando, A. Passner, T. Kimura, M. Okuya, J. Shimoyama, K. Kishio, K. Tamasaku, N. Ichikawa, and S. Uchida, 1996, Phys. Rev. Lett. 77, 5417.
37. Bouwknegt, P., and K. Schoutens, 1999, Phys. Rev. Lett. 82, 2757.
38. Bozovic, I., G. Logvenov, M. A. J. Verhoeven, P. Caputo, E. Goldobin, and T. H. Geballe, 2003, Nature (London) 422, 873.
39. Brewer, J. H., E. J. Ansaldo, J. F. Carolan, A. C. D. Chaklader, W. N. Hardy, D. R. Harshman, M. E. Hayden, M. Ishikawa, N. Kaplan, R. Keitel, J. Kempton, R. F. Kiefl, et al., 1988, Phys. Rev. Lett. 60, 1073.
40. Brinckmann, J., and P. A. Lee, 1999, Phys. Rev. Lett. 82, 2915.
41. Bruder, C., R. Fazio, and G. Schon, 1993, Phys. Rev. B 47, 342.
42. Bruus, H., K. A. Eriksen, M. Hallundbaek, and P. Hedegard, 1999, Phys. Rev. B 59, 4349.
43. Bulut, N., and D. J. Scalapino, 1996, Phys. Rev. B 53, 5149.
44. Burgess, C. P., J. M. Cline, R. MacKenzie, and R. Ray, 1998, Phys. Rev. B 57, 8549.
45. Calabrese, P., A. Pelissetto, and E. Vicari, 2003, Phys. Rev. B 67, 054505.
46. Calandra, M., and S. Sorella, 2000, Phys. Rev. B 61, R11 894.
47. Campuzano, J. C., M. R. Norman, and M. Randeria, 2002, in Physics of Conventional and Unconventional Superconductors, edited by K. H. Bennemann and J. B. Ketterson (Springer, New York).
48. Capponi, S., and D. Poilblanc, 2002, Phys. Rev. B 66, 180503.
49. Carbotte, J. P., E. Schachinger, and D. D. Branch, 1999, J. Low Temp. Phys. 117, 217.
50. Carlson, E. W., V. J. Emery, S. A. Kivelson, and D. Orgad, 2002, in The Physics of Conventional and Unconventional Superconductors, edited by K. H. Bennemann and J. B. Ketterson (Springer, New York).
51. Chakravarty, S., B. I. Halperin, and D. R. Nelson, 1988, Phys. Rev. Lett. 60, 1057.
52. Chakravarty, S., and H. Y. Kee, 2000, Phys. Rev. B 61, 14 821.
53. Chakravarty, S., H.-Y. Kee, and E. Abrahams, 1999, Phys. Rev. Lett. 82, 2366.
54. Chakravarty, S., R. B. Laughlin, D. K. Morr, and C. Nayak, 2001, Phys. Rev. B 63, 094503.
55. Chen, H.-D., S. Capponi, F. Alet, and S.-C. Zhang, 2003, cond-mat/0312660.
56. Chen, H. D., J. P. Hu, S. Capponi, E. Arrigoni, and S. C. Zhang, 2002, Phys. Rev. Lett. 89, 137004.
57. Chen, H.-D., O. Vafek, A. Yazdani, and S.-C. Zhang, 2004. cond-mat/0402323.
58. Chen, H. D., C. J. Wu, and S. C. Zhang, 2003, cond-mat/0310289.
59. Chen, Y., and C. S. Ting, 2002, Phys. Rev. B 65, 180513.
60. Chubukov, A., D. Pines, and J. Schmalian, 2003, in The Physics of Superconductors, edited by K. H. Bennemann and J. B. Ketterson (Springer, New York), pp. 450-490.
61. Curro, N. J., C. Milling, J. Haase, and C. P. Slichter, 2000, Phys. Rev. B 62, 3473.
62. Dagotto, E., 1994, Rev. Mod. Phys. 66, 763.
63. Dai, P., M. Yethiraj, H. A. Mook, T. B. Lindemer, and F. Dogan, 1996, Phys. Rev. Lett. 77, 5425.
64. Dai, P. C., H. A. Mook, G. Aeppli, S. M. Hayden, and F. Dogan, 2000, Nature (London) 406. 965.
65. Dai, P. C., H. A. Mook, and F. Dogan, 1998, Phys. Rev. Lett. 80, 1738.
66. Dai, P. C., H. A. Mook, S. M. Hayden, G. Aeppli, T. G. Perring, R. D. Hunt, and F. Dogan, 1999, Science 284, 1344.
67. Damascelli, A., Z. Hussain, and Z. X. Shen, 2003, Rev. Mod. Phys. 75, 473.
68. Decca, R. S., H. D. Drew, E. Osquiguil, B. Maiorov, and J. Guimpel, 2000, Phys. Rev. Lett. 85, 3708.
69. Demier, E., A. J. Berlinsky, C. Kallin, G. B. Arnold, and M. R. Beasley, 1998, Phys. Rev. Lett. 80, 2917.
70. Demler, E., H. Kohno, and S. C. Zhang, 1998, Phys. Rev. B 58, 5719.
71. Demler, E., S. Sachdev, and Y. Zhang, 2001, Phys. Rev. Lett. 87, 067202.
72. Demler, E., and S. C. Zhang, 1995, Phys. Rev. Lett. 75, 4126.
73. Demler, E., and S. C. Zhang, 1998, Nature (London) 396, 733.
74. Demler, E., and S. C. Zhang, 1999a, Ann. Phys. (N.Y.) 271, 83.
75. Demler, E., and S. C. Zhang, 1999b in High Temperature Superconductivity: Coral Cables, Florida, January 1999, edited by S. E. Barnes, J. Ashkenazi, J. L. Cohn, and F. Zuo (AIP, Melville, NY), pp. 30-35.
76. Demler, E., S. C. Zhang, N. Bulut, and D. J. Scalapino, 1996, Int. J. Mod. Phys. B 10, 2137.
77. den Hertog, B. C., A. J. Berlinsky, and C. Kallin, 1999, Phys. Rev. B 59, R11 645.
78. Doniach, S., and M. Inui, 1990, Phys. Rev. B 41, 6668.
79. Dopf, G., A. Muramatsu, and W. Hanke, 1992, Phys. Rev. Lett. 68, 353.
80. Dorneich, A., W. Hanke, E. Arrigoni, M. Troyer, and S. C. Zhang, 2002a, J. Phys. Chem. Solids 63, 1365.
81. Dorneich, A., W. Hanke, E. Arrigoni, M. Troyer, and S. C. Zhang, 2002b, Phys. Rev. Lett. 88, 057003.
82. Dorneich, A., and M. Troyer, 2001, Phys. Rev. E 64, 066701.
83. Duffy, D., S. Haas, and E. Kim, 1998, Phys. Rev. B 58, R5932.
84. Eder, R., A. Dorneich, M. G. Zacher, W. Hanke, and S. C. Zhang, 1999, Phys. Rev. B 59, 561.
85. Eder, R., W. Hanke, and S. C. Zhang, 1998, Phys. Rev. B 57, 13781.
86. Emery, V. J., and S. A. Kivelson, 1995, Nature (London) 374, 434.
87. Emery, V. J., S. A. Kivelson, and J. M. Tranquada, 1999, Proc. Natl. Acad. Sci. U.S.A. 96, 8814.
88. Eschrig, M., and M. R. Norman, 2000, Phys. Rev. Lett. 85, 3261.
89. Fjaerstad, J. O., and J. B. Marston, 2002, Phys. Rev. B 65, 125106.
90. Fisher, M. E., M. N. Barber, and D. Jasnow. 1973, Phys. Rev. A8, 1111.
91. Fisher, M. P. A., P. B. Weichman, G. Grinstein. and D. S. Fisher, 1989, Phys. Rev. B 40, 546.
92. Fong, H. F., P. Bourges, Y. Sidis, L. P. Regnault, J. Bossy, A. Ivanov, D. L. Milius, I. A. Aksay, and B. Keimer, 1999, Phys. Rev. Lett. 82, 1939.
93. Fong, H. F., P. Bourges, Y. Sidis, L. P. Regnault, J. Bossy, A. Ivanov, D. L. Milius, I. A. Aksay, and B. Keimer, 2000, Phys. Rev. B 61, 14773.
94. Fong, H. F., B. Keimer, P. W. Anderson, D. Reznik, F. Dogan, and I. A. Aksay, 1995, Phys. Rev. Lett. 75, 316.
95. Fong, H. F., B. Keimer, D. Reznik, D. L. Milius, and I. A. Aksay, 1996, Phys. Rev. B 54, 6708.
96. Frahm, H., and M. Stahlsmeier, 2001, Phys. Rev. B 63, 125109.
97. Franz. M., D. E. Sheehy, and Z. Tesanovic, 2002, Phys. Rev. Lett. 88, 257005.
98. Franz, M., and Z. Tesanovic, 2001, Phys. Rev. B 63, 064516.
99. Franz, M., Z. Tesanovic, and O. Vafek, 2002, Phys. Rev. B 66, 054535.
100. Fu, H. C., J. C. Davis, and D. H. Lee, 2004, cond-mat/0403001.
101. Fujimori, A., A. Ino, T. Mizokawa, C. Kim, Z. X. Shen, T. Sasagawa. T. Kimura, K. Kishio, M. Takaba, K. Tamasaku, H. Eisaki. and S. Uchidau, 1998, J. Phys. Chem. Solids 59, 1892.
102. Fujita, M., M. Matsuda, S. Katano, and K. Yamada, 2003, cond-mat/0311269.
103. Furusaki, A., and S. C. Zhang, 1999, Phys. Rev. B 60, 1175.
104. Georgi, H., 1982, Lie Algebras in Particle Physics (Addison-Wesley, Reading, MA).
105. Ghosal, A., C. Kallin, and A. J. Berlinsky, 2002, Phys. Rev. B 66, 214502.
106. Goldbart, P. M., and D. E. Sheehy, 1998, Phys. Rev. B 58, 5731.
107. Gopalan, S., T. M. Rice, and M. Sigrist, 1994, Phys. Rev. B 49, 8901.
108. Greiner, M., 2002, Nature (London) 415, 39.
109. Greiter, M., 1997, Phys. Rev. Lett. 79, 4898.
110. Gros, C., 1989, Ann. Phys. (N.Y.) 189, 53.
111. Halperin, B. I., T. C. Lubensky, and S. K. Ma, 1974, Phys. Rev. Lett. 32, 292.
112. Han, J. H., and D. H. Lee, 2000, Phys. Rev. Lett. 85, 1100.
113. Harada, K., and N. Kawashima. 1997. Phys. Rev. B 55, R11 949.
114. Hashimoto, T., M. Sagoi, Y. Mizutani, J. Yoshida, and K. Mizushima, 1992, Appl. Phys. Lett. 60, 1756.
115. He, H., P. Bourges, Y. Sidis, C. Ulrich, L. P. Regnault, S. Pailhes, N. S. Berzigiarova, N. N. Kolesnikov, and B. Keimer, 2002, Science 295, 1045.
116. He, H., Y. Sidis, P. Bourges, G. D. Gu, A. Ivanov, N. Koshizuka, B. Liang, C. T. Lin, L. P. Regnault, E. Schoenherr, and B. Keimer, 2001, Phys. Rev. Lett. 86, 1610.
117. Hebert, F., G. G. Batrouni, R. T. Scalettar, G. Schmid, M. Troyer, and A. Dorneich, 2002, Phys. Rev. B 65, 014513.
118. Henley, C. L. 1998, Phys. Rev. Lett. 80, 3590.
119. Herbut, I. F., 2002, Phys. Rev. Lett. 88, 047006.
120. Hill, R. W. C. Proust, L. Taillefer, P Fournier, and R. L. Greene, 2001, Nature (London) 414, 711.
121. Himeda, A., and M. Ogata, 1999, Phys. Rev. B 60, R9935.
122. Hirsch, J. E., and F. Marsiglio, 2000, Phys. Rev. B 62, 15 131.
123. Hirsch, J. E., S. Tang, E. Loh, and D. J. Scalapino, 1988, Phys. Rev. Lett. 60, 1668.
124. Huffman, J. E., E. W. Hudson, K. M. Lang, V. Madhavan, H. Eisaki, S. Uchida, and J. C. Davis, 2002, Science 295, 466.
125. Hofstetter, W., J. I. Cirac, P. Zoller, E. Demler, and M. D. Lukin, 2002. Phys. Rev. Lett. 89, 220407.
126. Hong, S. P., and S. H. S. Salk, 1999, Physica B 261, 1053.
127. Howald. C., H. Eisaki, N. Kaneko, M. Greven, and A. Kapitulnik, 2002, cond-mat/0208442.
128. Howald, C., R. Fournier, and A. Kapitulnik, 2001, Phys. Rev. B 64, 100504.
129. Hu, J.-P., and S.-C. Zhang, 2000, Physica C 431, 93.
130. Hu, J. P., and S. C. Zhang, 2001, Phys. Rev. B 64, 100502.
131. Hu, J. P., and S. C. Zhang, 2002, J. Phys. Chem. Solids 63, 2277.
132. Hu, X., 1999a, cond-mat/9906237.
133. Hu, X., 1999b, J. Low Temp. Phys. 117, 289.
134. Hu, X., 2001, Phys. Rev. Lett. 87, 057004.
135. Imada, M., A. Fujimori, and Y. Tokura, 1998, Rev. Mod. Phys. 70, 1039.
136. Ino, A., T. Mizokawa, A. Fujimori. K. Tamasaku, H. Eisaki, S. Uchida, T. Kimura, T. Sasagawa, and K. Kishio, 1997, Phys. Rev. Lett. 79, 2101.
137. Inui, M., S. Doniach, P. Hirschfeld, and A. E. Ruckenstein, 1988. Phys. Rev. B 37, 2320.
138. Ioffe, L. B., and A. J. Millis, 2002, J. Phys. Chem. Solids 63, 2259.
139. Jaksch, D., C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, 1998, Phys. Rev. Lett. 81, 3108.
140. Jerome, D., A. Mazaud, M. Ribault, and K. Bechgaard, 1980, J. Phys. (Paris), Lett. 41, L95.
141. Johnson, P. D., T. Valla, A. V. Fedorov, Z. Yusof, B. O. Wells, Q. Li, A. R. Moodenbaugh, G. D. Gu, N. Koshizuka, C. Kendziora, Jian Sha, and D. G. Hinks, 2001, Phys. Rev. Lett. 87, 177007.
142. Jöstingmeier, M., A. Dorneich, E. Arrigoni, W. Hanke, and S.-C. Zhang, 2003, Phys. Rev. B 68, 245111.
143. Juneau, M., R. MacKenzie, M. A. Vachon, and J. M. Cline, 2002, Phys. Rev. B 65, 140512.
144. Kakuyanagi, K., K. Kumagai, and Y. Matsuda, 2002, J. Phys. Chem. Solids 63, 2305.
145. Kakuyanagi, K., K. Kumagai, Y. Matsuda, and M. Hasegawa, 2003. Phys. Rev. Lett. 90, 197003.
146. Kang, H. J., P. C. Dai, J. W. Lynn, M. Matsuura, J. R. Thompson, S. C. Zhang, D. N. Argyriou, Y. Onose, and Y. Tokura, 2003, Nature (London) 423, 522.
147. Kanoda, K., 1997, Hyperfine Interact. 104, 235.
148. Kastner, M. A., R. J. Birgeneau, G. Shirane, and Y. Endoh, 1998, Rev. Mod. Phys. 70, 897.
149. Katano, S., M. Sato, K. Yamada, T. Suzuki, and T. Fukase, 2000, Phys. Rev, B 62, R14 677.
150. Kawamoto, A., K. Miyagawa, Y. Nakazawa, and K. Kanoda, 1995, Phys. Rev. B 52, 15522.
151. Kee, H. Y., S. A. Kivelson, and G. Aeppli, 2002, Phys. Rev. Lett. 88, 257002.
152. Keimer, B., 2004, private communication.
153. Khaykovich, B., Y. S. Lee, R. W. Erwin, S. H. Lee, S. Wakimoto, K. J. Thomas, M. A. Kastner, and R. J. Birgeneau, 2002. Phys. Rev. B 66, 014528.
154. Kitaoka, Y., K. Ishida, Y. Kawasaki, O. Trovarelli, C. Geibel, and F. Steglich, 2001, J. Phys.: Condens. Matter 13, L79.
155. Kitaoka, Y., Y. Kawasaki, T. Mito, S. Kawasaki, G. Q. Zheng, K. Ishida, D. Aoki, Y. Haga, R. Settai, Y. Onuki, C. Geibel, and F. Steglich, 2002, J. Phys. Chem. Solids 63, 1141.
156. Kivelson, S., D. H. Lee, and S. C. Zhang, 1992, Phys. Rev. B 46, 2223.
157. Kivelson, S. A., G. Aeppli, and V. J. Emery, 2001, Proc. Natl. Acad. Sci. U.S.A. 98, 11903.
158. Kivelson, S. A., E. Fradkin, and V. J. Emery, 1998, Nature (London) 393, 550.
159. Kivelson, S. A., D. H. Lee, E. Fradkin, and V. Oganesyan, 2002, Phys. Rev. B 66, 144516.
160. Kohn, W., and J. M. Luttinger, 1965, Phys. Rev. Lett. 15, 524.
161. Kopec, T. K., and T. A. Zaleski, 2001, Phys. Rev. Lett. 87, 097002.
162. Kopec, T. K., and T. A. Zaleski, 2003, Physica C 387, 65.
163. Kosterlitz, J. M., D. R. Nelson, and M. E. Fisher, 1976, Phys. Rev. B 13, 412.
164. Kotegawa, H., Y. Tokunaga, Y. Araki, G. q. Zheng, Y. Kitaoka, K. Tokiwa, K. Ito, T. Watanabe, A. Iyo, Y. Tanaka, and H. Ihara, 2004, cond-mat/0401416.
165. Lake, B., G. Aeppli, K. N. Clausen, D. F. McMorrow, K. Lefmann, N. E. Hussey, N. Mangkorntong, M. Nohara, H. Takagi, T. E. Mason, and A. Schroder, 2001, Science 291, 1759.
166. Lake, B., H. M. Ronnow, N. B. Christensen, G. Aeppli, K. Lefmann, D. F. McMorrow, P. Vorderwisch, P. Smeibidl, N. Mangkorntong, T. Sasagawa, M. Nohara, H. Takagi, et al., 2002, Nature (London) 415, 299.
167. Lanczos, C., 1950, J. Res. Natl. Bur. Stand. 45, 255.
168. Lang, K. M., V. Madhavan, J. E. Hoffman, E. W. Hudson, H. Eisaki, S. Uchida, and J. C. Davis, 2002, Nature (London) 415, 412.
169. Lanzara, A., P. V. Bogdanov, X. J. Zhou, S. A. Kellar, D. L. Feng, E. D. Lu, T. Yoshida, H. Eisaki, A. Fujimori, K. Kishio, J. I. Shimoyama, T. Noda, et al., 2001, Nature (London) 412, 510.
170. Laughlin, R. B., 2002. cond-mat/0209269.
171. Lee, D. H., and S. A. Kivelson, 2003, Phys. Rev. B 67, 024506.
172. Lee, I. J., D. S. Chow, W. G. Clark, J. Strouse, M. J. Naughton, P. M. Chaikin, and S. E. Brown, 2003, Phys. Rev. B 68, 092510.
173. Lee, I. J., M. J. Naughton, G. Danner, and P. M. Chaikin, 1997, Phys. Rev. Lett. 78, 3555.
174. Lee, P. A., 2002, J. Phys. Chem. Solids 63, 2149.
175. Lee, Y. S., R. J. Birgeneau, M. A. Kastner, Y. Endoh, S. Wakimoto, K. Yamada, R. W. Erwin, S. H. Lee, and G. Shirane, 1999, Phys. Rev. B 60, 3643.
176. Lefebvre, S., P. Wzietek, S. Brown, C. Bourbonnais, D. Jer ome, C. Meziere, M. Fourmigue, and P. Batail, 2000, Phys. Rev. Lett. 85, 5420.
177. Levi, B. G., 2002, Phys. Today 55 (2), 14.
178. Lin, H. H., L. Balents, and M. P. A. Fisher, 1998, Phys. Rev. B 58, 1794.
179. Liu, D. Z., Y. Zha, and K. Levin, 1995, Phys. Rev. Lett. 75, 4130.
180. Locquet, J. P., J. Perret, J. Fompeyrine, E. Machler, J. W. Seo, and G. V. Tendeloo, 1998, Nature (London) 394, 453.
181. Loram, J. W., K. A. Mirza, J. R. Cooper, W. Y. Liang, and J. M. Wade, 1994, J. Supercond. 7, 243.
182. Loram, J. W., K. A. Mirza, and P. F. Freeman, 1990, Physica C 171, 243.
183. Maggioaprile, I., C. Renner, A. Erb, E. Walker, and O. Fischer, 1995, Phys. Rev. Lett. 75, 2754.
184. Maksimov, E., D. Savrasov, and S. Savrasov, 1997, Phys. Usp. 40, 337.
185. Mang, P., S. Larochelle, and M. Greven, 2003, cond-mat/0308607.
186. Manske, D., I. Eremin, and K. H. Bennemann, 2001, Phys. Rev. B 63, 054517.
187. Manske, D., I. Eremin, and K. H. Bennemann, 2003, Phys. Rev. B 67, 134520.
188. Maple, M. B., 1998, J. Magn. Magn. Mater. 177, 18.
189. Markiewicz, R. S., and M. T. Vaughn, 1998, J. Phys. Chem. Solids 59, 1737.
190. Marston, J. B., J. O. Fjaerestad, and A. Sudbo, 2002, Phys. Rev. Lett. 89, 056404.
191. Mathur, N. D., F. M. Grosche, S. R. Julian, I. R. Walker, D. M. Freye, R. K. W. Haselwimmer, and G. G. Lonzarich, 1998, Nature (London) 394, 39.
192. Mazin, I. I., and V. M. Yakovenko, 1995, Phys. Rev. Lett. 75, 4134.
193. McElroy, K., R. W. Simmonds, J. E. Huffman, D.-H. Lee, J. Orenstein, H. Eisaki, S. Uchidak, and J. C. Davis, 2003, Science 422, 592.
194. McKenzie, R. H., 1997, Science 278, 820.
195. Meixner, S., W. Hanke, E. Demler, and S. C. Zhang, 1997, Phys. Rev. Lett. 79, 4902.
196. Micnas, R., J. Ranninger, and S. Robaszkiewicz, 1990, Rev. Mod. Phys. 62, 113.
197. Miller, R. J., R. F. Kiefl, J. H. Brewer, J. E. Sonier, D. A. Bonn, W. N. Hardy, R. X. Liang, J. M. Mnard, and P. Poon, 2003, unpublished.
198. Miller, R. I., R. F. Kiefl, J. H. Brewer, J. E. Sonier, J. Chakhalian, S. Dunsiger, G. D. Morris, A. N. Price, D. A. Bonn, W. H. Hardy, and R. Liang, 2002, Phys. Rev. Lett. 88, 137002.
199. Millis, A. J., and H. Monien, 1996, Phys. Rev. B 54, 16 172.
200. Mitrovic, V. F., E. E. Sigmund, M. Eschrig, H. N. Bachman, W. P. Halperin, A. P. Reyes, P. Kuhns, and W. G. Moulton, 2001, Nature (London) 413, 501.
201. Mitrovic, V. F., E. E. Sigmund, W. P. Halperin, A. P. Reyes, P. Kuhns, and W. G. Moulton, 2003, Phys. Rev. B 67, 220503.
202. Molegraaf, H. J. A., C. Presura, D. van der Marel, P. H. Kes, and M. Li, 2002, Science 295, 2239.
203. Moler, K. A., J. R. Kirtley, D. G. Hinks, T. W. Li, and M. Xu, 1998, Science 279, 1193.
204. Mook, H. A., P. C. Dai, S. M. Hayden, G. Aeppli, T. G. Perring, and F. Dogan, 1998, Nature (London) 395, 580.
205. Mook, H. A., P. C. Dai, S. M. Hayden, A. Hiess, J. W. Lynn, S. H. Lee, and F. Dogan, 2002, Phys. Rev. B 66, 144513.
206. Mook, H. A., M. Yethiraj, G. Aeppli, T. E. Mason, and T. Armstrong, 1993, Phys. Rev. Lett. 70, 3490.
207. Moreo, A., and D. J. Scalapino, 1991, Phys. Rev. Lett. 66, 946.
208. Morningstar, C. J., and M. Weinstein, 1996, Phys. Rev. D 54, 4131.
209. Morr, D. K., and D. Pines, 1998, Phys. Rev. Lett. 81, 1086.
210. Mortensen, N. A., H. M. Ronnow, H. Bruus, and P. Hedegard, 2000. Phys. Rev. B 62, 8703.
211. Murakami, S., and N. Nagaosa, 2000, J. Phys. Soc. Jpn. 69, 2395.
212. Murakami, S., N. Nagaosa, and M. Sigrist, 1999, Phys. Rev. Lett. 82, 2939.
213. Nayak, C., 2000, Phys. Rev. B 62, R6135.
214. Nelson, D. R., and J. M. Kosterlitz, 1977, Phys. Rev. Lett. 39, 1201.
215. Norman, M. R., and C. Pepin, 2003, Rep. Prog. Phys. 66, 1547.
216. Ogata, M., 1999, Int. J. Mod. Phys. B 13, 3560.
217. Onufrieva, F., and J. Rossat-Mignod, 1995, Phys. Rev. B 52, 7572.
218. Orenstein, J., 1999, Nature (London) 401, 333.
219. Orenstein, J., and A. J. Millis, 2000, Science 288, 468.
220. Pan, S. H., E. W. Hudson, A. K. Gupta, K. W. Ng, H. Eisaki, S. Uchida, and J. C. Davis, 2000, Phys. Rev. Lett. 85, 1536.
221. Pan, S. H., J. P. O'Neal, R. L. Badzey, C. Chamon, H. Ding, J. R. Engelbrecht, Z. Wang, H. Eisaki, S. Uchida, A. K. Guptak, K. W. Ng, E. W. Hudson, et al., 2001, Nature (London) 413, 282.
222. Park, K., and S. Sachdev, 2001, Phys. Rev. B 64, 184510.
223. Pich, C., and E. Frey, 1998, Phys. Rev. B 57, 13 712.
224. Pines, D., and P. Nozières, 1966, The Theory of Quantum Liquids (Benjamin Cummings, New York).
225. Podolsky, D., E. Altman, T. Rostunov, and E. Dernier, 2004, cond-mat/0403406.
226. Podolsky, D., E. Demler, K. Damle, and B. I. Halperin, 2003, Phys. Rev. B 67, 094514.
227. Pryadko, L., S. Kivelson, and O. Zachar, 2003, cond-mat/0306342.
228. Rabello, S., H. Kohno, E. Demler, and S. C. Zhang, 1998, Phys. Rev. Lett. 80, 3586.
229. Rajaraman, R., 1982, Solitons and Instantons (Elsevier Science, New York).
230. Riera, J. A., 2002a, Phys. Rev. B 66, 134523.
231. Riera, J. A., 2002b, Phys. Rev. B 65, 174526.
232. Ronning, F., C. Kim, D. L. Feng, D. S. Marshall, A. G. Loeser, L. L. Miller, J. N. Eckstein, I. Bozovic, and Z. X. Shen, 1998, Science 282, 2067.
233. Rossat-Mignod, J., L. P. Regnault, C. Vettier, P. Bourges, P. Burlet, J. Bossy, J. Y. Henry, and G. Lapertot, 1991, Physica C 185, 86.
234. Rossat-Mignod, J., L. P. Regnault, C. Vettier, P. Bourges, P. Burlet, J. Bossy, J. Y. Henry, and G. Lapertot, 1992, Physica B 180, 383.
235. Rossat-Mignod, J., L. P. Regnault, C. Vettier, P. Burlet, J. Y. Henry, and G. Lapertot, 1991, Physica B 169, 58.
236. Rozhkov, A. V., and A. J. Millis, 2002, Phys. Rev. B 66, 134509.
237. Sachdev, S., 1992, Phys. Rev. B 45, 389.
238. Sachdev, S., 2000, Quantum Phase Transitions (Cambridge University, Cambridge, England).
239. Sachdev, S., 2002a, Rev. Mod. Phys. 75, 913.
240. Sachdev, S., 2002b, Ann. Phys. (N.Y.) 303, 226.
241. Sachdev, S., and R. N. Bhatt, 1990, Phys. Rev. B 41, 9323.
242. Sachdev, S., and E. Demler, 2004, Phys. Rev. B 69, 144504.
243. Sachdev, S., and M. Vojta, 2000, in New Theoretical Approaches to Strongly Correlated Systems, Lectures at the NATO Advanced Study Institute/EC Summer School, edited by A. M. Tsvelik (Kluwer Academic, Dordrecht).
244. Sachdev, S., and S. C. Zhang, 2002, Science 295, 452.
245. Sandvik, A. W., 1997, Phys. Rev. B 56, 11 678.
246. Sandvik, A. W., 1999, Phys. Rev. B 59, R14 157.
247. Sato, H., A. Tsukada, M. Naito, and A. Matsuda, 2000, Phys. Rev. B 62, R799.
248. Scalapino, D., S. C. Zhang, and W. Hanke, 1998, Phys. Rev. B 58, 443.
249. Scalapino, D. J., 1970, Phys. Rev. Lett. 24, 1052.
250. Scalapino, D. J., 1995, Phys. Rep. 250, 330.
251. Scalapino, D. J., and S. R. White, 1998, Phys. Rev. B 58, 8222.
252. Scalettar, R. T., G. G. Batrouni, A. P. Kampf, and G. T. Zimanyi, 1995, Phys. Rev. B 51, 8467.
253. Scalettar, R. T., E. Y. Loh, J. E. Gubernatis, A. Moreo, S. R. White, D. J. Scalapino, R. L. Sugar, and E. Dagotto, 1989, Phys. Rev. Lett. 62, 1407.
254. Schachinger, E., J. P. Carbotte, and D. N. Basov, 2001, Europhys. Lett. 54, 380.
255. Schollwoeck, U., S. Chakravarty, J. O. Fjaerestad, J. B. Marston, and M. Troyer, 2003, Phys. Rev. Lett. 90, 186401.
256. Schrieffer, J. R., 1964, Theory of Superconductivity (Benjamin Cummings, New York).
257. Schrieffer, J. R., X. G. Wen, and S. C. Zhang, 1989, Phys. Rev. B 39, 11 663.
258. Schulz, H., 1998, cond-mat/9808167.
259. Senthil, T., and M. P. A. Fisher, 2001, Phys. Rev. B 63, 134521.
260. Senthil, T., A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, 2004, Science 303, 1490.
261. Sheehy, D. E., and P. M. Goldbart, 1998, Phys. Rev. B 57, R8131.
262. Shelton, D. G., and D. Senechal, 1998, Phys. Rev. B 58, 6818.
263. Shen, K. M., et al., 2004, Phys. Rev. B 69, 054503.
264. Shen, Z. X., A. Lanzara, S. Ishihara, and N. Nagaosa, 2002, Philos. Mag. B 82, 1349.
265. Sidis, Y. C. Ulrich, P. Bourges, C. Bernhard, C. Niedermayer, L. P. Regnault, N. H. Andersen, and B. Keimer, 2001, Phys. Rev. Lett. 86, 4100.
266. Singleton, J., and C. Mielke, 2002, Contemp. Phys. 43, 63.
267. Sorella, S., G. B. Martins, F. Becca, C. Gazza, L. Capriotti, A. Parola, and E. Dagotto, 2002, Phys. Rev. Lett. 88, 117002.
268. Stock, C., W. Buyers, R. Liang, D. Peets, Z. Tun, D. Bonn, W. Hardy, and R. Birgeneau, 2004, Phys. Rev. B 69, 014502.
269. Suzuki, Y., J. M. Triscone, C. B. Eom, M. R. Beasley, and T. H. Geballe, 1994, Phys. Rev. Lett. 73, 328.
270. Takeshita, N., T. Sasagawa, T. Sugioka, Y. Tokural, and H. Takagi, 2003, cond-mat/0305111.
271. Talion. J. L., and J. W. Loram, 2001, Physica C 349, 53.
272. Taniguchi, H., K. Kanoda, and A. Kawamoto, 2003, Phys. Rev. B 67, 014510.
273. Timusk, T., and B. Statt, 1999, Rep. Prog. Phys. 62, 61.
274. Tinkham, M., 1995, Introduction to Superconductivity (McGraw-Hill, New York).
275. Tranquada, J. M., B. J. Sternlieb, J. D. Axe, Y. Nakamura, and S. Uchida, 1995, Nature (London) 375, 561.
276. Tsuchiura, H., M. Ogata, Y. Tanaka, and S. Kashiwaya, 2003, J. Low Temp. Phys. 131, 209.
277. Tsuei, C. C., and J. R. Kirtley, 2000, Rev. Mod. Phys. 72, 969.
278. Uemura, Y., 2002, Solid State Commun. Special Issue, edited by Y. U. A. J. Millis and S. Uchida.
279. Uemura, Y. J., G. M. Luke, B. J. Sternlieb, J. H. Brewer, J. F. Carolan, W. N. Hardy, R. Kadono, J. R. Kempton, R. F. Kiefl, S. R. Kreitzman, P. Mulhern, T. M. Riseman, et al., 1989, Phys. Rev. Lett. 62, 2317.
280. van der Linden, W., 1992, Phys. Rep. 220, 53.
281. van Duin, C. N. A., and J. Zaanen, 2000, Phys. Rev. B 61, 3676.
282. van Harlingen, D. J., 1995, Rev. Mod. Phys. 67, 515.
283. van Otterlo, A., K. H. Wagenblast, R. Baltin, C. Bruder, R. Fazio, and G. Schon, 1995, Phys. Rev. B 52, 16 176.
284. Varma, C. M., 1999, Phys. Rev. Lett. 83, 3538.
285. Vershinin, M., S. Misra, S. Ono, S. Abe, Y. Ando, and A. Yazdani, 2004, cond-mat/0402320.
286. Vojta, M., 2002, Phys. Rev. B 66, 104505.
287. Vojta, M., and S. Sachdev, 1999, Phys. Rev. Lett. 83, 3916.
288. Vonsovsky, S. V., Y. A. Izyumov, and E. Z. Kurmaev, 1982, Superconductivity of Transition Metals (Springer, New York).
289. Vuletic, T., P. Auban-Senzier, C. Pasquier, D. Jerome, M. Heritier, and K. Bechgaard, 2002, Eur. Phys. J. B 25, 319.
290. Wakimoto, S., R. J. Birgeneau, M. A. Kastner, Y. S. Lee, R. Erwin, P. M. Gehring, S. H. Lee, M. Fujita, K. Yamada, Y. Endoh, K. Hirota, and G. Shirane, 2000, Phys. Rev. B 61, 3699.
291. Wakimoto, S., R. J. Birgeneau, Y. S. Lee, and G. Shirane, 2001, Phys. Rev. B 63, 172501.
292. Wang, Y., and A. H. Macdonald, 1995, Phys. Rev. B 52, R3876.
293. Wegner, F. J., 2000, Eur. Phys. J. B 14, 11.
294. Weinberg, S., 1995, The Quantum Theory of Fields (Cambridge University, New York).
295. Wen, X. G., and P. A. Lee, 1996, Phys. Rev. Lett. 76, 503.
296. Weng, Z. Y., D. N. Sheng, and C. S. Ting, 1998, Phys. Rev. Lett. 80, 5401.
297. White, S. R., and D. J. Scalapino, 1998, Phys. Rev. Lett. 80, 1272.
298. Wu, C., V. W. Liu, and E. Fradkin, 2003, Phys. Rev. B 68, 115104.
299. Wu, C. J., H. D. Chen, J. P. Hu, and S. C. Zhang, 2004, Phys. Rev. A 69, 043609.
300. Wu, C. J., J. P. Hu, and S. C. Zhang, 2003, Phys. Rev. Lett. 91, 186402.
301. Wu, L. A., M. Guidry, Y. Sun, and C. L. Wu, 2003, Phys. Rev. B 67, 014515.
302. Wu, M. K., J. R. Ashburn, C. J. Torng, P. H. Hor, R. L. Meng, L. Gao, Z. J. Huang, Y. Q. Wang, and C. W. Chu, 1987, Phys. Rev. Lett. 58, 908.
303. Yamada, K., C. H. Lee, K. Kurahashi, J. Wada, S. Wakimoto, S. Ueki, H. Kimura, Y. Endoh, S. Hosoya, G. Shirane, R. J. Birgeneau, M. Greven, et al., 1998, Phys. Rev. B 57, 6165.
304. Yang, C. N., 1989, Phys. Rev. Lett. 63, 2144.
305. Yang, C. N., and S. C. Zhang, 1990, Mod. Phys. Lett. B 4, 759.
306. Yeh, N., 2002, Bull. Assoc. Asia Pacific Phy. Socs. (AAPPS) 12, 2.
307. Yin, L., S. Chakravarty, and P. W. Anderson, 1997, Phys. Rev. Lett. 78, 3559.
308. Yokoyama, H., and M. Ogata, 1996, J. Phys. Soc. Jpn. 65, 3615.
309. Yoshikawa, H., and T. Moriya, 1999, J. Phys. Soc. Jpn. 68, 1340.
310. Zaanen, J., 1999a, Physica C 317-318, 217.
311. Zaanen, J., 1999b, Science 286, 251.
312. Zaanen, J., and O. Gunnarsson, 1989, Phys. Rev. B 40, 7391.
313. Zacher, M. G., W. Hanke, E. Arrigoni, and S. C. Zhang, 2000, Phys. Rev. Lett. 85, 824.
314. Zaleski, T. A., and T. K. Kopec, 2000a, Physica C 341, 237.
315. Zaleski, T. A., and T. K. Kopec, 2000b, Phys. Rev. B 62, 9059.
316. Zasadzinski, J. F., L. Coffey, P. Romano, and Z. Yusof, 2003, Phys. Rev. B 68, 180504.
317. Zhang, F. C., C. Gros, T. M. Rice, and H. Shiba, 1988, Supercond. Sci. Technol. 1, 36.
318. Zhang, F. C., and T. M. Rice, 1988, Phys. Rev. B 37, 3759.
319. Zhang, S. C., 1990, Phys. Rev. Lett. 65, 120.
320. Zhang, S. C., 1991, Int. J. Mod. Phys. B 5, 153.
321. Zhang, S. C., 1997, Science 275, 1089.
322. Zhang, S. C., 1998, cond-mat/9808309.
323. Zhang, S. C., J. P. Hu, E. Arrigoni, W. Hanke, and A. Auerbach, 1999, Phys. Rev. B 60, 13 070.
324. Zhang, Y., E. Demler, and S. Sachdev, 2002, Phys. Rev. B 66, 094501.