Phase boundary between the fractional quantum Hall liquid and the Wigner crystal at low filling factors and low temperatures: A path integral Monte Carlo study

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 19, 2005, Pages

  He, W J ^a   Cui, T ^a   Ma, Y M ^a   Chen, C B ^a   Liu, Z M ^a   Zou, G T ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29744458998     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.195306     Document Type: Article

References (36)

1. E. P. Wigner, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.46.1002 46, 1002 (1934).
2. D. Yoshioke and H. Fukuyama, J. Phys. Soc. Jpn. JUPSAU 0031-9015 47, 394 (1979).
3. D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1559 48, 1559 (1982).
4. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
5. D. Levesque, J. J. Weis, and A. H. MacDonald, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.1056 30, R1056 (1984).
6. P. K. Lam and S. M. Girvin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.30.473 30, 473 (1984).
7. S. M. Girvin, A. H. MacDonald, and P. M. Platzman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33.2481 33, 2481 (1986).
8. R. K. Kamilla and J. K. Jain, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.R13417 55, R13417 (1997).
9. H. Yi and H. A. Fertig, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.4019 58, 4019 (1998).
10. K. Yang, F. D. M. Haldane, and E. H. Rezayi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.081301 64, 081301 (R) (2001).
11. R. Narevich, G. Murthy, and H. A. Fertig, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.245326 64, 245326 (2001).
12. R. Price, P. M. Platzman, and S. He, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.339 70, 339 (1993).
13. X. Zhu and S. G. Louie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.335 70, 335 (1993);
14. X. Zhu and S. G. Louie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.5863 52, 5863 (1995).
15. P. M. Platzman and R. Price, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.3487 70, 3487 (1993).
16. R. Price, X. Zhu, P. M. Platzman, and S. G. Louie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.11473 48, 11473 (1993).
17. H. W. Jiang, R. L. Willett, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.633 65, 633 (1990).
18. V. J. Goldman, M. Santos, M. Shayegan, and J. E. Cunningham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.2189 65, 2189 (1990).
19. E. Y. Andrei, G. Deville, D. C. Glattli, F. I. B. Williams, E. Paris, and B. Etienne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.2765 60, 2765 (1988).
20. Y. P. Li, T. Sajoto, L. W. Engel, D. C. Tsui, and M. Shayegan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.1630 67, 1630 (1991).
21. H. W. Jiang, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, and K. W. West, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.8107 44, 8107 (1991).
22. V. J. Goldman, M. Shayegan, and D. C. Tsui, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.881 61, 881 (1988).
23. H. Buhmann, W. Joss, K. von Klitzing, I. V. Kulcushkin, G. Martinez, A. S. Plaut, K. Ploog, and V. B. Timojeev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1056 65, 1056 (1990);
24. H. Buhmann, W. Joss, K. von Klitzing, I. V. Kulcushkin, A. S. Plaut, G. Martinez, K. Ploog, and V. B. Timojeev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.926 66, 926 (1991).
25. W. Pan, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.176802 88, 176802 (2002).
26. S. S. Mandal, M. R. Peterson, and J. K. Jain, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.106403 90, 106403 (2003).
27. A. J. Schmidt, O. Ciftja, and C. Wexler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.155315 67, 155315 (2003).
28. M. Takahashi and M. Imada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.53.963 53, 963 (1984);
29. M. Imada and M. Takahashi, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.53.3770 53, 3770 (1984).
30. M. Parrinello and A. Rahman, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.446740 80, 860 (1984);
31. E. L. Pollock and K. J. Runge, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.462451 96, 674 (1992).
32. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1699114 21, 1087 (1953).
33. C. H. Mak, R. Egger, and H. Weber-Gottschick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4533 81, 4533 (1998).
34. R. C. Gann, S. Chakravarty, and G. V. Chester, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.20.326 20, 326 (1979).
35. F. C. Zhang and S. Das Sarma, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33.2903 33, 2903 (1986).
36. W. J. He, T. Cui, Y. M. Ma, Z. M. Liu, and G. T. Zou, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.195104 68, 195104 (2003).