Resonating color state and emergent chromodynamics in the kagome antiferromagnet

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 2, 2011, Pages

  Cepas O ^a   Ralko, A ^a  

^a LABORATOIRE DE CRISTALLOGRAPHIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961188154     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.020413     Document Type: Article

References (39)

1. P. W. Anderson, Mater. Res. Bull. MRBUAC 0025-5408 10.1016/0025-5408(73) 90167-0 8, 153 (1973).
2. S. Chakravarty, B. I. Halperin, and D. R. Nelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.39.2344 39, 2344 (1989).
3. G. Baskaran and P. W. Anderson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.580 37, 580 (1988).
4. For a review, see M. J. P. Gingras, Highly Frustrated Magnetism, edited by, C. Lacroix, P. Mendels, and, F. Mila, (Springer-Verlag, Berlin, 2010);
5. R. Moessner and K. S. Raman, ibid.
6. For a review, see P. Mendels and F. Bert, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.79.011001 79, 011001 (2010).
7. S. Yan, D. A. Huse, and S. R. White, Science SCIEAS 0036-8075 10.1126/science.1201080 332, 1173 (2011).
8. P. Sindzingre and C. Lhuillier, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/88/27009 88, 27009 (2009).
9. H. Nakano and T. Sakai, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.80.053704 80, 053704 (2011).
10. M. B. Hastings, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.63.014413 63, 014413 (2000);
11. Y. Ran, M. Hermele, P. A. Lee, and X.-G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.117205 98, 117205 (2007). (Pubitemid 46434373)
12. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 50.1153 50, 1153 (1983).
13. A. B. Harris, C. Kallin, and A. J. Berlinsky, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.45.2899 45, 2899 (1992).
14. J. T. Chalker, P. C. W. Holdsworth, and E. F. Shender, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.855 68, 855 (1992).
15. I. Ritchey, P. Chandra, and P. Coleman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.47.15342 47, 15342 (1993).
16. J. N. Reimers and A. J. Berlinsky, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.9539 48, 9539 (1993).
17. I. Rousochatzakis, A. M. Läuchli, and F. Mila, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.094420 77, 094420 (2008).
18. J. von Delft and C. L. Henley, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.965 48, 965 (1993).
19. B. Douçot and P. Simon, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/31/28/005 31, 5855 (1998). (Pubitemid 128102778)
20. A. V. Chubukov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 832 69, 832 (1992).
21. C. L. Henley, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.180401 80, 180401 (R) (2009).
22. See, for a general magnetic field, A. E. Trumper, L. Capriotti, and S. Sorella, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.61.11529 61, 11529 (2000).
23. O. Cépas and A. Ralko (to be published).
24. - L S.
25. R. J. Baxter, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1665210 11, 784 (1970).
26. For finite N, W is not known exactly, except W = 120 for N = 27; J. Jacobsen and K. Nguyen (private communication).
27. c = exp [i α Σ λ c, i z], where c = 3, 8 is the index of the Gell-Mann matrices.
28. C. Xu and J. E. Moore, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72. 064455 72, 064455 (2005). (Pubitemid 43292054)
29. J. Kondev and C. L. Henley, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(96)00064-8 464, 540 (1996). (Pubitemid 126165627)
30. B. Mohar and J. Salas, J. Stat. Mech. NUPBBO 1742-5468 10.1088/1742-5468/2010/05/P05016 P05016 (2010).
31. C. Castelnovo, C. Chamon, C. Mudry, and P. Pujol, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.104405 72, 104405 (2005). (Pubitemid 43022410)
32. D. A. Huse and A. D. Rutenberg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.45.7536 45, 7536 (1992).
33. S. Sachdev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.45.12377 45, 12377 (1992).
34. C. Waldtmann, H.-U. Everts, B. Bernu, C. Lhuillier, P. Sindzingre, P. Lecheminant, and L. Pierre, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050274 2, 501 (1998).
35. S. E. Korshunov, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.054416 65, 054416 (2002).
36. J. M. Kosterlitz, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/10/19/011 10, 3753 (1977);
37. J. Zittartz, Z. Phys. B 0340-224X 10.1007/BF01320127 31, 63 (1978).
38. A. M. Polyakov, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(77) 90086-4 120, 429 (1977).
39. c, the state is critical, implying a second transition.