Devil's staircases, quantum dimer models, and stripe formation in strong coupling models of quantum frustration

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 9, 2007, Pages

  Papanikolaou, Stefanos ^a   Raman, Kumar S ^a   Fradkin, Eduardo ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847682631     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.094406     Document Type: Article

References (56)

1. P. W. Anderson, Science SCIEAS 0036-8075 10.1016/S0921-4534(97)00266-9 235, 1196 (1987).
2. S. A. Kivelson, D. S. Rokhsar, and J. P. Sethna, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.35.8865 35, R8865 (1987).
3. P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.17 78, 17 (2006).
4. T. Senthil and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.7850 62, 7850 (2000).
5. M. Hermele, T. Senthil, and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.104404 72, 104404 (2005).
6. C. Mudry and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.49.5200 49, 5200 (1994).
7. V. J. Emery and S. A. Kivelson, Physica C PHYCE6 0921-4534 10.1016/0921-4534(93)90581-A 209, 597 (1993).
8. 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).
9. S. A. Kivelson, E. Fradkin, and V. J. Emery, Nature (London) NATUAS 0028-0836 10.1038/31177 393, 550 (1998).
10. S. A. Kivelson and E. Fradkin, in Treatise of High Temperature Superconductivity, edited by, J. R. Schrieffer, and, J. Brooks, (Springer-Verlag, Berlin, 2006).
11. S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.1201 75, 1201 (2003).
12. A. P. Mackenzie and Y. Maeno, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.657 75, 657 (2003).
13. R. Coldea, D. A. Tennant, A. M. Tsvelik, and Z. Tylczynski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1335 86, 1335 (2001).
14. Y. Shimizu, K. Miyagawa, K. Kanoda, M. Maesato, and G. Saito, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.107001 91, 107001 (2003).
15. A. P. Ramirez, A. Hayashi, R. J. Cava, R. Siddarthan, and B. S. Shastri, Nature (London) NATUAS 0028-0836 399, 333 (1999).
16. J. Snyder, B. G. Ueland, J. S. Slusky, H. Karunadasa, R. J. Cava, and P. Schiffer, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.064414 69, 064414 (2004).
17. U. Löw, V. J. Emery, K. Fabricius, and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1918 72, 1918 (1994).
18. J. Lorenzana, C. Castellani, and C. DiCastro, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.235127 64, 235127 (2001).
19. R. Jamei, S. Kivelson, and B. Spivak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.056805 94, 056805 (2005).
20. D. G. Ravenhall, C. J. Pethick, and J. R. Wilson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.2066 50, 2066 (1983).
21. C. P. Lorenz, D. G. Ravenhall, and C. J. Pethick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.379 70, 379 (1993).
22. M. Seul and D. Andelman, Science SCIEAS 0036-8075 10.1126/science.267. 5197.476 267, 476 (1995).
23. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376 61, 2376 (1988).
24. M. E. Fisher and W. Selke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.44.1502 44, 1502 (1980).
25. P. Bak, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/45/6/001 45, 587 (1982).
26. R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.024504 65, 024504 (2002).
27. E. Ardonne, P. Fendley, and E. Fradkin, Ann. Phys. (N.Y.) APNYA6 0003-4916 310, 493 (2004).
28. A. Vishwanath, L. Balents, and T. Senthil, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.224416 69, 224416 (2004).
29. 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).
30. R. Moessner and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1881 86, 1881 (2001).
31. A. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 321, 2 (2006).
32. M. Hermele, M. P. A. Fisher, and L. Balents, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.064404 69, 064404 (2004).
33. L. Balents, M. P. A. Fisher, and S. M. Girvin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.224412 65, 224412 (2002).
34. S. Fujimoto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.024429 72, 024429 (2005).
35. K. S. Raman, R. Moessner, and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.064413 72, 064413 (2005).
36. K. Damle and T. Senthil, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.067202 97, 067202 (2006).
37. S. V. Isakov, Y. B. Kim, and A. Paramekanti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.207204 97, 207204 (2006).
38. K. Sengupta, S. V. Isakov, and Y. B. Kim, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.245103 73, 245103 (2006).
39. E. Fradkin and S. A. Kivelson, Mod. Phys. Lett. B MPLBET 0217-9849 10.1142/S0217984990000295 4, 225 (1990).
40. L. Balents, L. Bartosch, A. Burkov, S. Sachdev, and K. Sengupta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.144508 71, 144508 (2005).
41. 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).
42. M. Vojta and S. Sachdev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3916 83, 3916 (1999).
43. J. Zaanen and O. Gunnarsson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.7391 40, R7391 (1989).
44. N. G. Zhang and C. L. Henley, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.014506 68, 014506 (2003).
45. V. J. Emery, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58. 2794 58, 2794 (1987).
46. S. A. Kivelson, E. Fradkin, and T. H. Geballe, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.144505 69, 144505 (2004).
47. L. Balents, L. Bartosch, A. Burkov, S. Sachdev, and K. Sengupta, in Physics of Strongly Correlated Electron Systems, YKIS2004 Workshop (Yukawa Institute, Kyoto, Japan, 2004).
48. V. I. Pokrovsky and A. L. Talapov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 75, 1151 (1978).
49. P. Bak and J. von Boehm, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.21.5297 21, 5297 (1980).
50. A. B. Harris, C. Micheletti, and J. M. Yeomans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.3045 74, 3045 (1995).
51. A. B. Harris, C. Micheletti, and J. M. Yeomans, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.6684 52, 6684 (1995).
52. H. W. J. Blöte and H. J. Hilhorst, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/11/011 15, L631 (1982).
53. C. L. Henley, J. Stat. Phys. JSTPBS 0022-4715 89, 483 (1997).
54. Hamiltonians with special points of large degeneracy were also considered recently in: Z. Nussinov, C. D. Batista, B. Normand, and S. A. Trugman, cond-mat/0602528 (to be published).
55. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 1999).
56. R. Liebmann, Statistical Mechanics of Periodic Frustrated Ising Systems (Springer-Verlag, Berlin, 1984).