Virial expansions, exclusion statistics, and the fractional quantum Hall effect

Physical Review B - Condensed Matter and Materials Physics

Volumn 56, Issue 12, 1997, Pages 7517-7524

  Tevosyan, Kahren ^a   MacDonald, A ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001316919     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.56.7517     Document Type: Article

References (40)

1. The Quantum Hall Effect, edited by R. E. Prange and S. M. Girvin (Springer-Verlag, New York, 1990).
2. The Quantum Hall Effect: A Perspective, edited by A. H. MacDonald (Jaca Books, Milano, 1989).
3. T. Chakraborty and P. Pietiläinen, The Quantum Hall Effects (Springer-Verlag, Berlin, 1995).
4. Quantum Hall Effect, edited by M. Stone (World Scientific, Singapore, 1992).
5. See, for example, A. H. MacDonald, in Mesoscopic Quantum Physics, edited by E. Akkermans, G. Montambaux, J.-L. Pichard, and J. Zinn-Justin (Elsevier, Amsterdam, 1995).
6. R.B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
7. See F. D. M. Haldane, in The Quantum Hall Effect (Ref. 1), and work cited therein.
8. S.A. Trugman and S. Kivelson, Phys. Rev. B 31, 5280 (1985).
9. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989).
10. Phys. Rev. B 40, 8079 (1989).
11. 41, 7653 (1990).
12. B.I. Halperin, P.A. Lee, and N. Read, Phys. Rev. B 47, 7312 (1993), and work cited therein.
13. S. Kivelson, D.H. Lee, and S.C. Zhang, Phys. Rev. B 46, 2223 (1992), and work cited therein.
14. Ana Lopez and Eduardo Fradkin, Phys. Rev. B 47, 7080 (1993).
15. F.D.M. Haldane, Phys. Rev. Lett. 67, 937 (1991).
16. Y.-S. Wu, 73, 922 (1994).
17. A.K. Rajagopal, 74, 1048 (1995).
18. C. Nayak and F. Wilczek, 73, 2740 (1994).
19. M.V.N. Murthy and R. Shankar, 73, 3331 (1995).
20. Wu-Pei Su, Yong-Shi Wu, and Jian Yang, 77, 3423 (1996).
21. S.B. Isakov, G.S. Canright, and M.D. Johnson, Phys. Rev. B 55, 6727 (1997).
22. S. M. Girvin and Terrence Jach, Phys. Rev. B 29, 5617 (1984).
23. A. H. MacDonald, Helv. Phys. Acta 65, 133 (1992), and work cited therein.
24. Claudius Gros and A. H. MacDonald, Phys. Rev. B 42, 9514 (1990).
25. B.I. Halperin, Phys. Rev. Lett. 52, 1583 (1984).
26. 52, 2390(E) (1984).
27. Fractionally charged quasiparticles of the (Formula presented) state, present in low-energy states for (Formula presented) satisfy exclusion statistics with statistics parameter (Formula presented): S. He, X.C. Xie, and F.C. Zhang, Phys. Rev. Lett. 68, 3460 (1992).
28. J. Yang, Phys. Rev. B 50, 11 196 (1994).
29. M.D. Johnson and G.S. Canright, Phys. Rev. B 49, 2947 (1994).
30. Y.-S. Wu, Phys. Rev. Lett. 73, 922 (1994).
31. C. Nayak and F. Wilczek, Phys. Rev. Lett. 73, 2740 (1994).
32. A.K. Rajagopal, Phys. Rev. Lett. 74, 1048 (1995).
33. A.K. Rajagopal and S. Teitler, Physica A 147, 627 (1988).
34. Virial expansions for exclusion statistics systems have been considered by M.V.N. Murthy and R. Shankar, Phys. Rev. Lett. 73, 3331 (1995).
35. and by A. Dasnières de Veigy and S. Ouvry, Nucl. Phys. B 388, 715 (1992) and related to earlier work on virial expansions for anyon statistics models;
36. D.P. Arovas, J.R. Schrieffer, F. Wilczek, and A. Zee, Nucl. Phys. B 251, 117 (1985).
37. A. Dasnières de Veigy and S. Ouvry, Phys. Rev. Lett. 72, 600 (1994).
38. Lian Zheng and A.H. MacDonald, Surf. Sci. 305, 101 (1994); (unpublished).
39. J.P. Eisenstein, L.N. Pfeiffer, and K.W. West, Phys. Rev. B 50, 1760 (1994).
40. Phys. Rev. Lett. 68, 674 (1992).