Phase separation versus supersolid behavior in frustrated antiferromagnets

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 17, 2011, Pages

  Albuquerque, A Fabricio ^a,b   Laflorencie, Nicolas ^c   Picon, Jean David ^d,e   Mila, Frédéric ^e  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

^c UNIVERSITÉ PARIS SUD   (France)

^d ETH ZURICH   (Switzerland)

^e EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961089171     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.174421     Document Type: Article

References (42)

1. T. Giamarchi, C. Rüegg, and O. Tchernyshyov, Nat. Phys. 1745-2473 10.1038/nphys893 4, 198 (2008).
2. F. Mila, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050542 6, 201 (1998).
3. K. Totsuka, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.57.3454 57, 3454 (1998);
4. T. Giamarchi and A. M. Tsvelik, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.11398 59, 11398 (1999).
5. S. E. Sebastian, N. Harrison, C. D. Batista, L. Balicas, M. Jaime, P. A. Sharma, N. Kawashima, and I. R. Fisher, Nature (London) NATUAS 0028-0836 10.1038/nature04732 441, 617 (2006). (Pubitemid 43932889)
6. C. Rüegg, D. F. McMorrow, B. Normand, H. M. Rønnow, S. E. Sebastian, I. R. Fisher, C. D. Batista, S. N. Gvasaliya, C. Niedermayer, and J. Stahn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.017202 98, 017202 (2007). (Pubitemid 46135104)
7. S. Krämer, R. Stern, M. Horvatić, C. Berthier, T. Kimura, and I. R. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.100406 76, 100406 (2007).
8. N. Laflorencie and F. Mila, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.060602 102, 060602 (2009).
9. M. Takigawa and F. Mila, in Introduction to Frustrated Magnetism, edited by, C. Lacroix, P. Mendels, and, F. Mila, (Springer, Berlin, 2011).
10. H. Kageyama, K. Yoshimura, R. Stern, N. V. Mushnikov, K. Onizuka, M. Kato, K. Kosuge, C. P. Slichter, T. Goto, and Y. Ueda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3168 82, 3168 (1999).
11. K. Kodama, M. Takigawa, M. Horvatić, C. Berthier, H. Kageyama, Y. Ueda, S. Miyahara, F. Becca, and F. Mila, Science SCIEAS 0036-8075 10.1126/science.1075045 298, 395 (2002). (Pubitemid 35176346)
12. J. Dorier, K. P. Schmidt, and F. Mila, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.250402 101, 250402 (2008);
13. A. Abendschein and S. Capponi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.227201 101, 227201 (2008).
14. A. F. Andreev and I. M. Lifshitz, Sov. Phys. JETP 29, 1107 (1969).
15. E. Kim and M. H. W. Chan, Nature (London) NATUAS 0028-0836 10.1038/nature02220 427, 225 (2004); (Pubitemid 38112034)
16. Science SCIEAS 0036-8075 10.1126/science.1101501 305, 1941 (2004). (Pubitemid 39287988)
17. S. Balibar, Nature (London) NATUAS 0028-0836 10.1038/nature08913 464, 176 (2010).
18. T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, Science SCIEAS 0036-8075 10.1126/science.1091806 303, 1490 (2004). (Pubitemid 38314412)
19. T. Momoi and K. Totsuka, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.62.15067 62, 15067 (2000). (Pubitemid 32328044)
20. K.-K. Ng and T. K. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.127204 97, 127204 (2006); (Pubitemid 44440770)
21. N. Laflorencie and F. Mila, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.027202 99, 027202 (2007). (Pubitemid 47152997)
22. J.-D. Picon, A. F. Albuquerque, K. P. Schmidt, N. Laflorencie, M. Troyer, and F. Mila, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.184418 78, 184418 (2008).
23. P. Sengupta and C. D. Batista, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.227201 98, 227201 (2007). (Pubitemid 47139722)
24. P. Chen, C.-Y. Lai, and M.-F. Yang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.020409 81, 020409 (2010).
25. C. J. Morningstar and M. Weinstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.73.1873 73, 1873 (1994);
26. C. J. Morningstar and M. Weinstein, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.54.4131 54, 4131 (1996).
27. 1, 2.
28. R. T. Scalettar, G. G. Batrouni, A. P. Kampf, and G. T. Zimanyi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.51.8467 51, 8467 (1995).
29. G. G. Batrouni and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1599 84, 1599 (2000).
30. P. Sengupta, L. P. Pryadko, F. Alet, M. Troyer, and G. Schmid, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.207202 94, 207202 (2005). (Pubitemid 41481108)
31. K. P. Schmidt, J. Dorier, A. M. Läuchli, and F. Mila, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.090401 100, 090401 (2008). (Pubitemid 351399019)
32. S. Wessel and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.127205 95, 127205 (2005); (Pubitemid 41505675)
33. R. G. Melko, A. Paramekanti, A. A. Burkov, A. Vishwanath, D. N. Sheng, and L. Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.127207 95, 127207 (2005); (Pubitemid 41505677)
34. D. Heidarian and K. Damle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.127206 95, 127206 (2005); (Pubitemid 41505676)
35. M. Boninsegni and N. Prokof'ev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.237204 95, 237204 (2005). (Pubitemid 41776931)
36. A. Abendschein and S. Capponi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.064413 76, 064413 (2007).
37. In this way, and by imposing that each cluster's low-energy spectrum is exactly reproduced, effective couplings of up to range 2 (see Fig. in Ref.) are computed.
38. E. Zhao and A. Paramekanti, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.195101 76, 195101 (2007).
39. S. R. Hassan, L. de Medici, and A.-M. S. Tremblay, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.144420 76, 144420 (2007).
40. G. Murthy, D. Arovas, and A. Auerbach, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.55.3104 55, 3104 (1997).
41. ×) = (0. 38, 0. 23) and (0. 38, 0. 27).
42. × [0, 0. 5]).