Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 2, 2011, Pages

  Albuquerque, A F ^a,b   Schwandt, D ^a,b   Hetenyi B ^c,d   Capponi, S ^a,b   Mambrini, M ^a,b   Lauchli A M ^c  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b CNRS   (France)

^c MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^d GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961193017     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.024406     Document Type: Article

References (85)

1. L. Balents, Nature (London) NATUAS 0028-0836 10.1038/nature08917 464, 199 (2010).
2. P. W. Anderson, Mater. Res. Bull. MRBUAC 0025-5408 10.1016/0025-5408(73) 90167-0 8, 153 (1973).
3. B. Bernu, C. Lhuillier, and L. Pierre, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2590 69, 2590 (1992).
4. G. Misguich, B. Bernu, C. Lhuillier, and C. Waldtmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1098 81, 1098 (1998).
5. S. Yan, D. A. Huse, and S. R. White, Science 0036-8075 10.1126/science.1201080 332, 1173 (2011).
6. M. B. Hastings, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.69.104431 69, 104431 (2004).
7. E. H. Lieb, T. D. Schultz, and D. Mattis, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(61)90115-4 16, 407 (1961).
8. H. Morita, S. Watanabe, and M. Imada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.71.2109 71, 2109 (2002). (Pubitemid 36299766)
9. T. Yoshioka, A. Koga, and N. Kawakami, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.036401 103, 036401 (2009).
10. O. I. Motrunich, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.72.045105 72, 045105 (2005). (Pubitemid 41526536)
11. D. N. Sheng, O. I. Motrunich, and M. P. A. Fisher, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.79.205112 79, 205112 (2009).
12. H.-Y. Yang, A. M. Läuchli, F. Mila, and K. P. Schmidt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.267204 105, 267204 (2010).
13. Z. Y. Meng, T. C. Lang, S. Wessel, F. F. Assaad, and A. Muramatsu, Nature (London) NATUAS 0028-0836 10.1038/nature08942 464, 847 (2010).
14. H.-Y. Yang, A. M. Läuchli, and K. P. Schmidt (unpublished).
15. J. Fouet, P. Sindzingre, and C. Lhuillier, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170273 20, 241 (2001). (Pubitemid 33626619)
16. E. Rastelli, A. Tassi, and L. Reatto, Physica B & C 0378-4363 10.1016/0378-4363(79)90002-0 97, 1 (1979).
17. A. Mulder, R. Ganesh, L. Capriotti, and A. Paramekanti, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.214419 81, 214419 (2010).
18. R. Ganesh, D. N. Sheng, Y.-J. Kim, and A. Paramekanti, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.144414 83, 144414 (2011).
19. T. Einarsson and H. Johannesson, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.43.5867 43, 5867 (1991).
20. A. Mattsson, P. Frojdh, and T. Einarsson, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.49.3997 49, 3997 (1994).
21. D. C. Cabra, C. A. Lamas, and H. D. Rosales, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.094506 83, 094506 (2011).
22. H. Mosadeq, F. Shahbazi, and S. A. Jafari, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/23/22/226006 23, 226006 (2011).
23. M. Mambrini, A. Läuchli, D. Poilblanc, and F. Mila, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.74.144422 74, 144422 (2006). (Pubitemid 44631176)
24. J. Reuther, P. Wölfle, R. Darradi, W. Brenig, M. Arlego, and J. Richter, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.064416 83, 064416 (2011).
25. E. Zhao and A. Paramekanti, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.195101 76, 195101 (2007).
26. S. R. Hassan, L. de Medici, and A.-M. S. Tremblay, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.144420 76, 144420 (2007).
27. A. F. Albuquerque, N. Laflorencie, J.-D. Picon, and F. Mila, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.174421 83, 174421 (2011).
28. N. Read and S. Sachdev, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.42.4568 42, 4568 (1990).
29. J. Richter, J. Schulenburg, and A. Honecker, Lect. Notes Phys. NATUAS 0075-8450 10.1007/BFb0119592 645, 85 (2004).
30. 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). (Pubitemid 41505590)
31. C. Lhuillier, P. Sindzingre, and J.-B. Fouet, Can. J. Phys. CJPHAD 0008-4204 10.1139/p01-116 79, 1525 (2001).
32. Zheng Weihong, J. Oitmaa, and C. J. Hamer, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.44.11869 44, 11869 (1991).
33. S. E. Krüger, J. Richter, J. Schulenburg, D. J. J. Farnell, and R. F. Bishop, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.61.14607 61, 14607 (2000).
34. J. Oitmaa, C. J. Hamer, and Weihong Zheng, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.45.9834 45, 9834 (1992).
35. H. C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603 101, 090603 (2008).
36. Z. Y. Xie, H. C. Jiang, Q. N. Chen, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.160601 103, 160601 (2009).
37. H. H. Zhao, Z. Y. Xie, Q. N. Chen, Z. C. Wei, J. W. Cai, and T. Xiang, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.174411 81, 174411 (2010).
38. A. Noorbakhsh, F. Shahbazi, S. A. Jafari, and G. Baskaran, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.78.054701 78, 054701 (2009).
39. J. D. Reger, J. A. Riera, and A. P. Young, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/1/10/007 1, 1855 (1989).
40. E. V. Castro, N. M. R. Peres, K. S. D. Beach, and A. W. Sandvik, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.73.054422 73, 054422 (2006). (Pubitemid 43276696)
41. U. Löw, Condens. Matter Phys. 12, 497 (2009).
42. H. J. Schulz, T. A. L. Ziman, and D. Poilblanc, J. Phys. I (France) JPGCE8 1155-4304 10.1051/jp1:1996236 6, 675 (1996).
43. H. Neuberger and T. Ziman, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.39.2608 39, 2608 (1989).
44. B. K. Clark, D. A. Abanin, and S. L. Sondhi, e-print arXiv: 1010.3011 (to be published).
45. P. W. Leung and N.-W. Lam, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.53.2213 53, 2213 (1996).
46. J. Richter and J. Schulenburg, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00400-4 73, 117 (2010).
47. F. Alet, S. Wessel, and M. Troyer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.036706 71, 036706 (2005). (Pubitemid 40629742)
48. A. F. Albuquerque, F. Alet, P. Dayal, A. Feiguin, S. Fuchs, L. Gamper, E. Gull, S. Gürtler, A. Honecker, R. Igarashi, M. Körner, A. Kozhevnikov, A. Läuchli, S. Manmana, M. Matsumoto, I. P. McCulloch, F. Michel, R. Noack, G. Pawlowski, L. Pollet, T. Pruschke, U. Schollwöck, S. Todo, S. Trebst, M. Troyer, P. Werner, and S. Wessel, J. Magn. Magn. Mater. 0304-8853 10.1016/j.jmmm.2006.10.304 310, 1187 (2007);
49. see [http://alps.comp-phys.org].
50. M. Mambrini and F. Mila, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/PL00011071 17, 651 (2000).
51. L. Hulthén, Ark. Mat. Astron. Fys. A 26, 11 (1938).
52. M. Karbach, K.-H. Mütter, P. Ueberholz, and H. Kröger, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.48.13666 48, 13666 (1993).
53. J.-B. Fouet, M. Mambrini, P. Sindzingre, and C. Lhuillier, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.67.054411 67, 054411 (2003).
54. A. Seidel, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.165131 80, 165131 (2009).
55. J. Wildeboer and A. Seidel, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.184430 83, 184430 (2011).
56. S. Liang, B. Douçot, and P. W. Anderson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.365 61, 365 (1988).
57. K. S. D. Beach and A. W. Sandvik, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2006.05.032 750, 142 (2006). (Pubitemid 44063925)
58. C. Lanczos, J. Res. Natl. Bur. Stand. 45, 255 (1950).
59. A. Ralko, M. Mambrini, and D. Poilblanc, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.184427 80, 184427 (2009).
60. D. Schwandt, M. Mambrini, and D. Poilblanc, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.214413 81, 214413 (2010).
61. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.2376 61, 2376 (1988).
62. R. Moessner, S. L. Sondhi, and P. Chandra, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.64.144416 64, 144416 (2001).
63. A. W. Sandvik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 227202 98, 227202 (2007). (Pubitemid 47139700)
64. N. Kawashima and Y. Tanabe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.057202 98, 057202 (2007). (Pubitemid 46184827)
65. G. Misguich, V. Pasquier, and F. Alet, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.78.100402 78, 100402 (2008).
66. J. Lou, A. W. Sandvik, and N. Kawashima, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.180414 80, 180414 (2009).
67. K. S. D. Beach, F. Alet, M. Mambrini, and S. Capponi, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.184401 80, 184401 (2009).
68. 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)
69. T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.70.144407 70, 144407 (2004). (Pubitemid 40052583)
70. A. Banerjee, K. Damle, and A. Paramekanti, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.134419 83, 134419 (2011).
71. M. Hermele, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.76.035125 76, 035125 (2007).
72. F. Wang, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.82.024419 82, 024419 (2010).
73. Y. Lu and Y. Ran, e-print arXiv: 1005.4229 (to be published).
74. Y. Lu and Y. Ran, e-print arXiv: 1007.3266 (to be published).
75. A. Vaezi and X. Wen, e-print arXiv: 1010.5744 (to be published).
76. C. Xu, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.83.024408 83, 024408 (2011).
77. A. Vaezi and X. Wen, e-print arXiv: 1101.1662 (to be published).
78. H. Y. Yang and K. P. Schmidt, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/94/17004 94, 17004 (2011).
79. J. Reuther, D. Abanin, and R. Thomale, e-print arXiv: 1103.0859 (to be published).
80. D. Ceperley, G. V. Chester, and M. H. Kalos, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.16.3081 16, 3081 (1977).
81. J. R. Trail, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.016703 77, 016703 (2008). (Pubitemid 351388532)
82. M. Hermele, T. Senthil, and M. P. A. Fisher, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.72.104404 72, 104404 (2005). (Pubitemid 43022367)
83. A. Sen, P. Dutt, K. Damle, and R. Moessner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.147204 100, 147204 (2008). (Pubitemid 351533150)
84. F. Wang, F. Pollmann, and A. Vishwanath, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.017203 102, 017203 (2009).
85. S.-J. Gu, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979210056335 24, 4371 (2010).