Vortexlike elementary excitations in the Rokhsar-Kivelson dimer model on the triangular lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 9, 2004, Pages

  Ivanov, D A ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

DIMER;

ARTICLE; CORRELATION FUNCTION; CRYSTAL STRUCTURE; ENERGY; EXCITATION; MOLECULAR MODEL; MONTE CARLO METHOD; VORTEX MOTION;

EID: 19744382626     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.094430     Document Type: Article

References (25)

1. D. S. Rokhsar and S. A. Kivelson, Phys. Rev. Lett. 61, 2376 (1988).
2. R. Moessner and S. L. Sondhi, Phys. Rev. Lett. 86, 1881 (2001).
3. R. Moessner, S. L. Sondhi, and E. Fradkin, Phys. Rev. B 65, 024504 (2002).
4. P. W. Kasteleyn, J. Math. Phys. 4, 287 (1963).
5. P. Fendley, R. Moessner, and S. L. Sondhi, Phys. Rev. B 66, 214513 (2002).
6. A. Ioselevich, D. A. Ivanov, and M. V. Feigelman, Phys. Rev. B 66, 174405 (2002).
7. M. E. Fisher and J. Stephenson, Phys. Rev. 132, 1411 (1963).
8. L. S. Levitov, Phys. Rev. Lett. 64, 92 (1990).
9. C. Henley, cond-mat/0311345 (unpublished).
10. L. B. Ioffe, M. V. Feigelman, A. Ioselevich, D. A. Ivanov, M. Troyer, and G. Blatter, Nature (London) 415, 503 (2002); L. B. Ioffe (unpublished).
11. L. B. Ioffe, M. V. Feigelman, A. Ioselevich, D. A. Ivanov, M. Troyer, and G. Blatter, Nature (London) 415, 503 (2002); L. B. Ioffe (unpublished).
12. N. Read and B. Chakraborty. Phys. Rev. B 40, 7133 (1989).
13. T. Senthil and M. P. A. Fisher, Phys. Rev. B 62, 7850 (2000); 63, 134521 (2001).
14. T. Senthil and M. P. A. Fisher, Phys. Rev. B 62, 7850 (2000); 63, 134521 (2001).
15. G. Misguich, D. Serban, and V. Pasquier, Phys. Rev. Lett. 89, 137202 (2002).
16. L. B. Ioffe and M. V. Feigelman, Phys. Rev. B 66, 224503 (2002).
17. M. V. Feigelman (unpublished).
18. E. Fradkin, D. A. Huse, R. Moessner, V. Oganesyan, and S. L. Sondhi, cond-mat/0311353 (unpublished); E. Ardonne, P. Fendley, and E. Fradkin, cond-mat/0311466 (unpublished).
19. E. Fradkin, D. A. Huse, R. Moessner, V. Oganesyan, and S. L. Sondhi, cond-mat/0311353 (unpublished); E. Ardonne, P. Fendley, and E. Fradkin, cond-mat/0311466 (unpublished).
20. M. V. Feigelman and M. A. Skvortsov, cond-mat/9703215; M. V. Feigelman and A. M. Tsvelik, Zh. Eksp. Teor. Fiz. 83, 1430 (1982) [Sov. Phys. JETP 56, 823 (1982)]; J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1993).
21. M. V. Feigelman and M. A. Skvortsov, cond-mat/9703215; M. V. Feigelman and A. M. Tsvelik, Zh. Eksp. Teor. Fiz. 83, 1430 (1982) [Sov. Phys. JETP 56, 823 (1982)]; J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1993).
22. M. V. Feigelman and M. A. Skvortsov, cond-mat/9703215; M. V. Feigelman and A. M. Tsvelik, Zh. Eksp. Teor. Fiz. 83, 1430 (1982) [Sov. Phys. JETP 56, 823 (1982)]; J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1993).
23. N. Bonesteel, Phys. Rev. B 40, 8954 (1989).
24. L. Balents, M. P. A. Fisher, and S. M. Girvin, Phys. Rev. B 65, 224412 (2002).
25. The numerical results are obtained on the 20X20 torus constructed by identifying sites spaced by 20 lattice constants in any of the three lattice directions. I combine the data from all the four topological sectors (Ref. 6), which allows us to quadruple the number of accessible k points in the Brillouin zone. With the ground-state correlation length of order one lattice constant (Refs. 5 and 6), the finite-size effects on the spectrum may be neglected.