Quantum criticality, lines of fixed points, and phase separation in doped two-dimensional quantum dimer models

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 13, 2007, Pages

  Papanikolaou, Stefanos ^a   Luijten, Erik ^a   Fradkin, Eduardo ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 35648934648     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.134514     Document Type: Article

References (86)

1. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376 61, 2376 (1988).
2. P. W. Anderson, Science SCIEAS 0036-8075 10.1016/S0921-4534(97)00266-9 235, 1196 (1987).
3. S. A. Kivelson, D. S. Rokhsar, and J. Sethna, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.8865 35, 8865 (1987).
4. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Redwood City, CA, 1991), Chap..
5. N. Read and S. Sachdev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.1773 66, 1773 (1991).
6. S. Sachdev and N. Read, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979291000158 5, 219 (1991).
7. R. Moessner and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1881 86, 1881 (2001).
8. R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.024504 65, 024504 (2001).
9. E. Fradkin, D. A. Huse, R. Moessner, V. Oganesyan, and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.224415 69, 224415 (2004).
10. A. Vishwanath, L. Balents, and T. Senthil, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.224416 69, 224416 (2004).
11. E. Ardonne, P. Fendley, and E. Fradkin, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2004.01.004 310, 493 (2004).
12. E. Fradkin and S. A. Kivelson, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984990000295 4, 225 (1990).
13. L. Balents, L. Bartosch, A. Burkov, S. Sachdev, and K. Sengupta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.144509 71, 144509 (2005).
14. F. Alet, J. L. Jacobsen, G. Misguich, V. Pasquier, F. Mila, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.235702 94, 235702 (2005).
15. O. F. Syljuasen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.020401 71, 020401 (R) (2005).
16. F. Alet, Y. Ikhlef, J. L. Jacobsen, G. Misguich, and V. Pasquier, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.041124 74, 041124 (2006).
17. C. Castelnovo, C. Chamon, C. Mudry, and P. Pujol, Ann. Phys. (N.Y.) APNYA6 0003-4916 322, 903 (2007).
18. D. Poilblanc, F. Alet, F. Becca, A. Ralko, F. Trousselet, and F. Mila, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.014437 74, 014437 (2006).
19. L. P. Kadanoff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.39. 903 39, 903 (1977).
20. P. Ginsparg, in Champs, Cordes et Phénomènes Critiques/ Fields, Strings and Critical Phenomena, edited by, E. Brézin, and, J. Zinn-Justin, (Elsevier Science, New York, 1989).
21. D. Boyanovsky, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/22/13/051 22, 2601 (1989).
22. P. Lecheminant, A. O. Gogolin, and A. N. Nersesyan, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(02)00474-1 639, 502 (2002).
23. W. Krauth and R. Moessner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.064503 67, 064503 (2003).
24. J. Liu and E. Luijten, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.035504 92, 035504 (2004).
25. P. Fendley, R. Moessner, and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.214513 66, 214513 (2002).
26. F. Trousselet, P. Pujol, F. Alet, and D. Poilblanc, arXiv:0705.1550 (unpublished).
27. R. J. Baxter, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/5/004 6, L94 (1973).
28. N. Read and S. Sachdev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1694 62, 1694 (1989).
29. K. S. Raman, R. Moessner, and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.064413 72, 064413 (2005).
30. C. Castelnovo, C. Chamon, C. Mudry, and P. Pujol, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2005.01.006 318, 316 (2005).
31. S. Samuel, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.524404 21, 2806 (1980).
32. S. Samuel, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.524406 21, 2820 (1980).
33. H. W. J. Blöte and H. J. Hilhorst, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/11/011 15, L631 (1982).
34. H. W. J. Blöte and M. P. Nightingale, Physica A PHYADX 0378-4371 10.1016/0378-4371(82)90187-X 112, 405 (1982).
35. C. L. Henley, J. Stat. Phys. JSTPBS 0022-4715 89, 483 (1997).
36. L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64. 92 64, 92 (1990).
37. W. Zheng and S. Sachdev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.2704 40, 2704 (1989).
38. R. Moessner and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.054405 68, 054405 (2003).
39. G. Forgacs and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.23.3442 23, 3442 (1981).
40. M. E. Fisher and J. Stephenson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.132.1411 132, 1411 (1963).
41. R. Youngblood, J. D. Axe, and B. M. McCoy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.5212 21, 5212 (1980).
42. J. K. Kondev and C. L. Henley, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00064-8 464, 540 (1996).
43. L. P. Kadanoff and H. Ceva, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.3.3918 3, 3918 (1971).
44. E. Fradkin and L. P. Kadanoff, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(80)90472-1 170, 1 (1980).
45. A. B. Zamolodchikov and V. A. Fateev, Sov. Phys. JETP SPHJAR 0038-5646 62, 215 (1985).
46. E. Witten, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(78)90204-3 142, 285 (1978).
47. L. P. Kadanoff and A. C. Brown, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(79)90100-3 121, 318 (1979).
48. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973).
49. J. M. Kosterlitz, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/7/6/005 7, 1046 (1974).
50. J. V. José, L. P. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.16.1217 16, 1217 (1977).
51. A. Luther and I. Peschel, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.12.3908 12, 3908 (1975).
52. P. B. Wiegmann, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/11/8/019 11, 1583 (1978).
53. D. J. Amit, Y. Y. Goldschmidt, and G. Grinstein, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/13/2/024 13, 585 (1980).
54. M. P. M. den Nijs, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.23.6111 23, 6111 (1981).
55. L. P. Kadanoff, J. Phys. A JPHAC5 0305-4470 7, 1399 (1978).
56. B. Nienhuis, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. Lebowitz, (Academic, London, 1987), Vol. 11, p. 1.
57. P. Di Francesco, P. Mathieu, and D. Sénéchal, Conformal Field Theory (Springer-Verlag, New York, 1997).
58. E. Witten, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01215276 92, 455 (1984).
59. M. Kohmoto, M. den Nijs, and L. P. Kadanoff, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.5229 24, 5229 (1981).
60. V. J. Emery, in Highly Conducting One-Dimensional Solids, edited by, J. T. Devreese, R. P. Evrard, and, V. E. van Doren, (Plenum, New York, 1979), p. 327, and references therein.
61. B. Nienhuis and M. Nauenberg, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.13.2021 13, 2021 (1976).
62. A. D. Bruce and A. Aharony, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.11.478 11, 478 (1975).
63. E. Fradkin and J. E. Hirsch, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.27.1680 27, 1680 (1983).
64. G. S. Grest and M. Widom, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.6508 24, 6508 (1981).
65. E. Fradkin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.1967 53, 1967 (1984).
66. J. L. Cardy, M. Nauenberg, and D. J. Scalapino, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.22.2560 22, 2560 (1980).
67. J. Liu and E. Luijten, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71. 066701 71, 066701 (2005).
68. K. Binder, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01293604 43, 119 (1981).
69. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.1195 63, 1195 (1989).
70. Y. C. Kim, M. E. Fisher, and E. Luijten, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.065701 91, 065701 (2003).
71. V. I. Pokrovsky and A. L. Talapov, Sov. Phys. JETP SPHJAR 0038-5646 75, 1151 (1978).
72. P. Bak, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/45/6/001 45, 587 (1982).
73. M. E. Fisher and W. Selke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.1502 44, 1502 (1980).
74. S. Papanikolaou, K. S. Raman, and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.094406 75, 094406 (2007).
75. R. P. Feynman, Statistical Mechanics (Benjamin, New York, 1972).
76. G. D. Mahan, Many Particle Physics (Plenum, New York, 1990).
77. D. P. Arovas and S. M. Girvin, Lectures presented at the Seventh International Conference on Recent Progress in Many Body Theories, Minneapolis, MN, 1991 (unpublished).
78. S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.581 54, 581 (1985).
79. D. P. Arovas, A. Auerbach, and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.531 60, 531 (1988).
80. J. Zaanen and O. Gunnarsson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.7391 40, 7391 (1989).
81. S. A. Kivelson and V. J. Emery, in Strongly Correlated Electron Materials: The Los Alamos Symposium 1993, edited by, K. Bedell, Z. Wang, D. E. Meltzer, A. V. Balatsky, and, E. Abrahams, (Addison-Wesley, Redwood City, CA, 1994), pp. 619-650.
82. S. A. Kivelson, E. Fradkin, and V. J. Emery, Nature (London) NATUAS 0028-0836 10.1038/31177 393, 550 (1998).
83. V. J. Emery, S. A. Kivelson, and J. M. Tranquada, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.96.16.8814 96, 8814 (1999).
84. S. Sachdev, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.913 75, 913 (2003).
85. O. J. Heilmann and E. H. Lieb, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.24.1412 24, 1412 (1970).
86. R. Moessner and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.184512 68, 184512 (2003).