Two-hole bound states from a systematic low-energy effective field theory for magnons and holes in an antiferromagnet

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 22, 2006, Pages

  Brugger C ^a   Kampfer F ^a   Moser, M ^a   Pepe, M ^b   Wiese, U J ^a  

^a UNIVERSITY OF BERN   (Switzerland)

^b UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846294365     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.224432     Document Type: Article

References (113)

1. J. C. Bednorz and K. A. Müller, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01303701 64, 189 (1986).
2. W. F. Brinkman and T. M. Rice, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.2.1324 2, 1324 (1970).
3. J. E. Hirsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54. 1317 54, 1317 (1985).
4. P. W. Anderson, Science SCIEAS 0036-8075 10.1016/S0921-4534(97)00266-9 235, 1196 (1987).
5. C. Gros, R. Joynt, and T. M. Rice, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.36.381 36, 381 (1987).
6. B. I. Shraiman and E. D. Siggia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.740 60, 740 (1988);
7. B. I. Shraiman and E. D. Siggia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.467 61, 467 (1988);
8. B. I. Shraiman and E. D. Siggia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1564 62, 1564 (1989);
9. B. I. Shraiman and E. D. Siggia, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.8305 46, 8305 (1992).
10. S. A. Trugman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.37.1597 37, 1597 (1988).
11. J. R. Schrieffer, X. G. Wen, and S. C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.944 60, 944 (1988);
12. J. R. Schrieffer, X. G. Wen, and S. C. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.11663 39, 11663 (1989).
13. C. L. Kane, P. A. Lee, and N. Read, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.6880 39, 6880 (1989).
14. S. Sachdev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.12232 39, 12232 (1989).
15. X. G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.7223 39, 7223 (1989).
16. A. Krasnitz, E. G. Klepfish, and A. Kovner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.9147 39, 9147 (1989).
17. R. Shankar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.203 63, 203 (1989);
18. R. Shankar, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(90)90118-W 330, 433 (1990).
19. P. W. Anderson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64. 1839 64, 1839 (1990).
20. A. Singh and Z. Tesanovic, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.614 41, 614 (1990).
21. S. A. Trugman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.892 41, 892 (1990).
22. V. Elser, D. A. Huse, B. I. Shraiman, and E. D. Siggia, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.6715 41, 6715 (1990).
23. E. Dagotto, R. Joynt, A. Moreo, S. Bacci, and E. Gagliano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41.9049 41, 9049 (1990).
24. G. Vignale and M. R. Hedayati, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.786 42, 786 (1990).
25. P. Kopietz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.1029 42, 1029 (1990).
26. H. J. Schulz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65. 2462 65, 2462 (1990).
27. Z. Y. Weng, C. S. Ting, and T. K. Lee, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.3790 43, 3790 (1991).
28. J. A. Verges, E. Louis, P. S. Lomdahl, F. Guinea, and A. R. Bishop, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.6099 43, 6099 (1991).
29. F. Marsiglio, A. E. Ruckenstein, S. Schmitt-Rink, and C. M. Varma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.10882 43, 10882 (1991).
30. P. Monthoux, A. V. Balatsky, and D. Pines, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3448 67, 3448 (1991).
31. Z. Liu and E. Manousakis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.2425 45, 2425 (1992).
32. C. Kübert and A. Muramatsu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.787 47, 787 (1993);
33. C. Kübert and A. Muramatsu, cond-mat/9505105 (unpublished).
34. T. Dahm, J. Erdmenger, K. Scharnberg, and C. T. Rieck, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.3896 48, 3896 (1993).
35. M. Y. Kuchiev and O. P. Sushkov, Physica C PHYCE6 0921-4534 10.1016/0921-4534(93)90283-V 218, 197 (1993).
36. V. V. Flambaum, M. Y. Kuchiev, and O. P. Sushkov, Physica C PHYCE6 0921-4534 227, 467 (1994).
37. O. P. Sushkov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.1250 49, 1250 (1994).
38. E. Dagotto, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.763 66, 763 (1994).
39. E. Dagotto, A. Nazarenko, and A. Moreo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.310 74, 310 (1995).
40. V. I. Belinicher, A. L. Chernyshev, A. V. Dotsenko, and O. P. Sushkov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.6076 51, 6076 (1995).
41. J. Altmann, W. Brenig, A. P. Kampf, and E. Müller-Hartmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.7395 52, 7395 (1995).
42. A. Nazarenko, A. Moreo, E. Dagotto, and J. Riera, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.R768 54, R768 (1996).
43. B. Kyung and S. I. Mukhin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.3886 55, 3886 (1997).
44. A. V. Chubukov and D. K. Morr, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.5298 57, 5298 (1998).
45. N. Karchev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.10913 57, 10913 (1998).
46. P. Wrobel and R. Eder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58. 15160 58, 15160 (1998).
47. W. Apel, H.-U. Everts, and U. Körner, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050449 5, 317 (1998).
48. M. Brunner, F. F. Assaad, and A. Muramatsu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.15480 62, 15480 (2000).
49. A. S. Mishchenko, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.033101 64, 033101 (2001).
50. S. Sachdev, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.913 75, 913 (2003);
51. S. Sachdev, Ann. Phys. ANPYA2 0003-3804 303, 226 (2003).
52. O. P. Sushkov and V. N. Kotov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.024503 70, 024503 (2004).
53. V. N. Kotov and O. P. Sushkov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.195105 70, 195105 (2004).
54. S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.2344 39, 2344 (1989).
55. S. Weinberg, Physica A PHYADX 0378-4371 10.1016/0378-4371(79)90223-1 96, 327 (1979).
56. J. Gasser and H. Leutwyler, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(85)90492-4 250, 465 (1985).
57. F. Kämpfer, M. Moser, and U.-J. Wiese, Nucl. Phys. B NUPBBO 0550-3213 729, 317 (2005).
58. S. Coleman, J. Wess, and B. Zumino, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.177.2239 177, 2239 (1969).
59. C. G. Callan, S. Coleman, J. Wess, and B. Zumino, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.177.2247 177, 2247 (1969).
60. H. Georgi, Weak Interactions and Modern Particle Theory (Benjamin-Cummings, New York, 1984).
61. J. Gasser, M. E. Sainio, and A. Svarc, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(88)90108-3 307, 779 (1988).
62. E. Jenkins and A. Manohar, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(91)90266-S 255, 558 (1991).
63. V. Bernard, N. Kaiser, J. Kambor, and U.-G. Meissner, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(92)90615-I 388, 315 (1992).
64. T. Becher and H. Leutwyler, Eur. Phys. J. C EPCFFB 1434-6044 10.1007/s100520050565 9, 643 (1999).
65. H. Neuberger and T. Ziman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.2608 39, 2608 (1989).
66. D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.11783 39, 11783 (1989).
67. P. Hasenfratz and H. Leutwyler, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(90)90603-B 343, 241 (1990).
68. P. Hasenfratz and F. Niedermayer, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(91)90809-5 268, 231 (1991).
69. P. Hasenfratz and F. Niedermayer, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01309171 92, 91 (1993).
70. A. V. Chubukov, T. Senthil, and S. Sachdev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2089 72, 2089 (1994);
71. A. V. Chubukov, T. Senthil, and S. Sachdev, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90023-X 426, 601 (1994).
72. H. Leutwyler, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.49.3033 49, 3033 (1994).
73. C. P. Hofmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.388 60, 388 (1999);
74. C. P. Hofmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.406 60, 406 (1999);
75. C. P. Hofmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.094430 65, 094430 (2002);
76. C. P. Hofmann, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.1489767 623, 305 (2001).
77. J. M. Roman and J. Soto, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979299000655 13, 755 (1999);
78. J. M. Roman and J. Soto, Ann. Phys. ANPYA2 0003-3804 273, 37 (1999);
79. J. M. Roman and J. Soto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.11418 59, 11418 (1999);
80. J. M. Roman and J. Soto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.3300 62, 3300 (2000).
81. O. Bär, M. Imboden, and U.-J. Wiese, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2003.12.041 686, 347 (2004).
82. B. O. Wells, Z.-X. Shen, A. Matsuura, D. M. King, M. A. Kastner, M. Greven, and R. J. Birgeneau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.964 74, 964 (1995).
83. S. La Rosa, I. Vobornik, F. Zwick, H. Berger, M. Grioni, G. Margaritondo, R. J. Kelley, M. Onellion, and A. Chubukov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.R525 56, R525 (1997).
84. C. Kim, P. J. White, Z.-X. Shen, T. Tohyama, Y. Shibata, S. Maekawa, B. O. Wells, Y. J. Kim, R. J. Birgeneau, and M. A. Kastner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4245 80, 4245 (1998).
85. F. Ronning, C. Kim, D. L. Feng, D. S. Marshall, A. G. Loeser, L. L. Miller, J. N. Eckstein, I. Borovic, and Z. X. Shen, Science SCIEAS 0036-8075 10.1126/science.282.5396.2067 282, 2067 (1998).
86. S. Weinberg, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(90)90938-3 251, 288 (1990);
87. S. Weinberg, Nucl. Phys. B NUPBBO 0550-3213 363, 3 (1991);
88. S. Weinberg, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(92)90099-P 295, 114 (1992).
89. D. B. Kaplan, M. J. Savage, and M. B. Wise, Phys. Lett. B PYLBAJ 0370-2693 424, 390 (1998);
90. D. B. Kaplan, M. J. Savage, and M. B. Wise, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(98)00440-4 534, 329 (1998).
91. E. Epelbaum, W. Glöckle, and U.-G. Meissner, Nucl. Phys. A NUPABL 0375-9474 637, 107 (1998);
92. E. Epelbaum, W. Glöckle, and U.-G. Meissner, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(01)00397-9 684, 371 (2001);
93. E. Epelbaum, W. Glöckle, and U.-G. Meissner, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(02)01393-3 714, 535 (2003).
94. P. F. Bedaque, H.-W. Hammer, and U. van Kolck, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.58.R641 58, R641 (1998);
95. P. F. Bedaque, H.-W. Hammer, and U. van Kolck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.463 82, 463 (1999);
96. P. F. Bedaque, H.-W. Hammer, and U. van Kolck, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(00)00205-0 676, 357 (2000).
97. U. van Kolck, Prog. Part. Nucl. Phys. PPNPDB 0146-6410 10.1016/S0146-6410(99)00097-6 43, 337 (1999).
98. T.-S. Park, K. Kubodera, D.-P. Min, and M. Rho, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(98)00614-9 646, 83 (1999).
99. E. Epelbaum, H. Kamada, A. Nogga, H. Witala, W. Glöckle, and U.-G. Meissner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4787 86, 4787 (2001).
100. S. Beane, P. F. Bedaque, M. J. Savage, and U. van Kolck, Nucl. Phys. A NUPABL 0375-9474 700, 377 (2002).
101. P. F. Bedaque and U. van Kolck, Annu. Rev. Nucl. Part. Sci. ARPSDF 0163-8998 10.1146/annurev.nucl.52.050102.090637 52, 339 (2002).
102. A. Nogga, R. G. E. Timmermans, and U. van Kolck, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.72.054006 72, 054006 (2005).
103. C. Brügger, F. Kämpfer, M. Pepe, and U.-J. Wiese, Eur. Phys. J. B EPJBFY 1434-6028 53, 433 (2006).
104. C. Brügger, C. Hofmann, F. Kämpfer, M. Pepe, and U.-J. Wiese, Phys. Rev. B PRBMDO 0163-1829 (to be published).
105. S. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.120 65, 120 (1990).
106. C. N. Yang and S. Zhang, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984990000933 4, 759 (1990).
107. J. A. M. Vermaseren, math-ph/0010025 (unpublished).
108. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York).
109. G. P. Lepage, nucl-th/9706029 (unpublished).
110. W. Magnus, Hills's Equation (Dover, New York, 1966).
111. U.-J. Wiese and H.-P. Ying, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01316955 93, 147 (1994).
112. B. B. Beard and U.-J. Wiese, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.5130 77, 5130 (1996).
113. S. Chandrasekharan, M. Pepe, F. Steffen, and U.-J. Wiese, J. High Energy Phys. JHEPFG 1126-6708 0312, 035 (2003).