Two-dimensional spin-1 frustrated Heisenberg model with valence-bond ground states

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 5, 2007, Pages

  Cai, Zi ^a   Chen, Shu ^a   Kou, Supeng ^b   Wang, Yupeng ^a  

^a INSTITUTE OF PHYSICS   (China)

^b BEIJING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548245930     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.054443     Document Type: Article

References (28)

1. G. Misguish and C. Lhuillier, in Frustrated Spin Systems, edited by, H. T. Diep, (World Scientific, Singapore, 2005), and references therein.
2. P. Chandra and B. Doucot, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.9335 38, 9335 (1988).
3. T. Einarsson and H. Johannesson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.5867 43, 5867 (1991).
4. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, Reading, MA, 1991).
5. L. Capriotti and S. Sorella, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.3173 84, 3173 (2000).
6. N. Read and S. Sachdev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.42.4568 42, 4568 (1990);
7. N. Read and S. Sachdev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.1773 66, 1773 (1991).
8. L. Capriotti, F. Becca, A. Parola, and S. Sorella, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.097201 87, 097201 (2001);
9. L. Capriotti, F. Becca, A. Parola, and S. Sorella, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.212402 67, 212402 (2003).
10. O. P. Sushkov, J. Oitmaa, and Z. Weihong, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.104420 63, 104420 (2001).
11. J. J. Garcia-Ripoll, M. A. Martin-Delgado, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.250405 93, 250405 (2004).
12. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 61.1029 61, 1029 (1988).
13. D. P. Arovas, A. Auerbach, and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.531 60, 531 (1988).
14. I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.59.799 59, 799 (1987);
15. I. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01218021 115, 477 (1988).
16. M. den Nijs and K. Rommelse, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.4709 40, 4709 (1989).
17. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 51.605 51, 605 (1983).
18. C. D. Batista and S. A. Trugman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.217202 93, 217202 (2004).
19. C. K. Majumdar and D. K. Ghosh, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1664978 10, 1388 (1969);
20. B. S. Shastry and B. Sutherland, Physica B & C PHBCDQ 0378-4363 10.1016/0378-4363(81)90838-X 108, 1069 (1981).
21. S. Chen, H. Buttner, and J. Voit, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.054412 67, 054412 (2003);
22. S. Chen, H. Buttner, and J. Voit, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.087205 87, 087205 (2001);
23. S. Chen and B. Han, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003- 00009-7 31, 63 (2003).
24. Z. Nussinov and A. Rosengren, arXiv:cond-mat/0504650 (unpublished).
25. D. Sen and N. Surendran, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.104411 75, 104411 (2007).
26. A. Klumper, A. Schadschneider, and J. Zittartz, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/16/012 24, L955 (1991).
27. H. Tasaki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.798 66, 798 (1991).
28. X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 016803 90, 016803 (2003).