Spontaneous dimerization in the spin-1 bilinear-biquadratic Heisenberg model on a honeycomb lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 10, 2012, Pages

  Lee, Yu Wen ^a   Yang, Min Fong ^a  

^a TUNGHAI UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84863298889     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.100402     Document Type: Article

References (24)

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). (Pubitemid 38314412)
2. T. Senthil, L. Balents, S. Sachdev, A. Vishwanath, and M. P. A. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.70.144407 70, 144407 (2004). (Pubitemid 40052583)
3. 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).
4. F. Wang, Phys. Rev. B 1098-0121 10.1103/PhysRevB.82.024419 82, 024419 (2010).
5. B. K. Clark, D. A. Abanin, and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.087204 107, 087204 (2011).
6. N. Papanicolaou, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(88) 90073-9 305, 367 (1988).
7. For a recent review, see K. Penc and A. M. Läuchli, in Introduction to Highly Frustrated Magnetism, Vol. 164 of Springer Series in Solid-State Sciences, edited by, C. Lacroix, P. Mendels, and, F. Mila, (Springer, New York, 2011), pp. 331-360.
8. H. Tsunetsugu and M. Arikawa, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.75.083701 75, 083701 (2006).
9. A. Läuchli, F. Mila, and K. Penc, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.087205 97, 087205 (2006). (Pubitemid 44277572)
10. T. A. Tóth, A. M. Läuchli, F. Mila, and K. Penc, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.265301 105, 265301 (2010).
11. H. H. Zhao, Cenke Xu, Q. N. Chen, Z. C. Wei, M. P. Qin, G. M. Zhang, and T. Xiang, e-print arXiv: 1105.2716.
12. H. C. Jiang, Z. Y. Weng, and T. Xiang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.090603 101, 090603 (2008);
13. 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).
14. G. Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070201 98, 070201 (2007);
15. J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.250602 101, 250602 (2008).
16. A. Chubukov, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/2/6/018 2, 1593 (1990).
17. A. Joshi, M. Ma, F. Mila, D. N. Shi, and F. C. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.60.6584 60, 6584 (1999).
18. P. Corboz, A. M. Läuchli, K. Penc, M. Troyer, and F. Mila, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.215301 107, 215301 (2011).
19. G. Grynberg, B. Lounis, P. Verkerk, J. Y. Courtois, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2249 70, 2249 (1993);
20. S.-L. Zhu, B. Wang, and L. M. Duan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.260402 98, 260402 (2007). (Pubitemid 47139981)
21. H.-H. Tu, G.-M. Zhang, and T. Xiang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.094404 78, 094404 (2008);
22. H.-H. Tu, G.-M. Zhang, and T. Xiang, J. Phys. A 1751-8113 10.1088/1751-8113/41/41/415201 41, 415201 (2008).
23. F. Alet, S. Capponi, H. Nonne, P. Lecheminant, and I. P. McCulloch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.060407 83, 060407 (R) (2011).
24. H.-H. Tu and R. Orús, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.077204 107, 077204 (2011).