Two-dimensional quantum antiferromagnet with a fourfold degenerate dimer ground state

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 1, 2008, Pages

  Gellé, Alain ^a   Läuchli, Andreas M ^b   Kumar, Brijesh ^c   Mila, Frédéric ^a  

^a EPFL   (Switzerland)

^b INSTITUT ROMAND DE RECHERCHE NUMÉRIQUE EN PHYSIQUE DES MATÉRIAUX IRRMA   (Switzerland)

^c JAWAHARLAL NEHRU UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38349120492     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.014419     Document Type: Article

References (41)

1. T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, Science SCIEAS 0036-8075 10.1126/science.1091806 303, 1490 (2004).
2. T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.144407 70, 144407 (2004).
3. L. D. Landau, E. M. Lifshitz, and E. M. Pitaevskii, Statistical Physics (Butterworth-Heinemann, New York, 1999).
4. H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Phys. I JPGCE8 1155-4304 10.1051/jp1:1996236 6, 675 (1996).
5. L. Capriotti, F. Becca, A. Parola, and S. Sorella, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.097201 87, 097201 (2001).
6. D. Poilblanc, E. Gagliano, S. Bacci, and E. Dagotto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.10970 43, 10970 (1991).
7. V. N. Kotov, J. Oitmaa, O. P. Sushkov, and Z. Weihong, Philos. Mag. A PMAADG 0141-8610 10.1080/01418630050114682 80, 1483 (2000).
8. Rajiv R. P. Singh, Zheng Weihong, C. J. Hamer, and J. Oitmaa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.7278 60, 7278 (1999).
9. M. E. Zhitomirsky and K. Ueda, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.54.9007 54, 9007 (1996).
10. L. Capriotti and S. Sorella, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3173 84, 3173 (2000).
11. A. Kuklov, N. Prokof'ev, and B. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.230402 93, 230402 (2004).
12. J. Sirker, Z. Weihong, O. P. Sushkov, and J. Oitmaa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.184420 73, 184420 (2006).
13. F. Krüger and S. Scheidl, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10039-3 74, 896 (2006).
14. M. Mambrini, A. Läuchli, D. Poilblanc, and F. Mila, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.144422 74, 144422 (2006).
15. L. Capriotti, F. Becca, A. Parola, and S. Sorella, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.212402 67, 212402 (2003).
16. C. D. Batista and S. A. Trugman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.217202 93, 217202 (2004).
17. A. W. Sandvik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 227202 98, 227202 (2007).
18. B. S. Shastry and B. Sutherland, Physica B & C PHBCDQ 0378-4363 10.1016/0378-4363(81)90838-X 108B, 1069 (1981).
19. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.1029 61, 1029 (1988).
20. N. Read and S. Sachdev, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(89)90061-8 316, 609 (1989).
21. C. K. Majumdar and D. K. Ghosh, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1664979 10, 1399 (1969);
22. C. K. Majumdar, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/3/4/019 3, 911 (1970).
23. D. J. Klein, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/2/032 15, 661 (1982);
24. J. T. Chayes, L. Chayes, and S. A. Kivelson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01244017 123, 53 (1989).
25. P. O. Löwdin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 36.966 36, 966 (1964).
26. S. Fujimoto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.024429 72, 024429 (2005);
27. K. S. Raman, R. Moessner, and S. L. Sondhi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.064413 72, 064413 (2005);
28. Z. Nussinov, C. D. Batista, B. Normand, and S. A. Trugman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.094411 75, 094411 (2007).
29. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376 61, 2376 (1988).
30. K. Takano, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/27/9/006 27, L269 (1994);
31. B. Kumar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.024406 66, 024406 (2002);
32. N. Surendran and R. Shankar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.024415 66, 024415 (2002).
33. B. Kumar, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.174434 71, 174434 (2005).
34. A staggered dimer phase on the square lattice can alternatively be stabilized by positive cyclic ring-exchange interactions: A. Läuchli, J. C. Domenge, C. Lhuillier, P. Sindzingre, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.137206 95, 137206 (2005).
35. B. Sutherland, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.37.3786 37, 3786 (1988).
36. H. Neuberger and T. Ziman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.2608 39, 2608 (1989).
37. P. Hasenfratz and F. Niedermayer, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01309171 92, 91 (1993).
38. B. Bernu, C. Lhuillier, and L. Pierre, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2590 69, 2590 (1992).
39. A. Läuchli, S. Wessel, and M. Sigrist, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.014401 66, 014401 (2002).
40. I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.799 59, 799 (1987);
41. I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01218021 115, 477 (1988).