Group Γ (2) and the fractional quantum Hall effect

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 224, Issue 4-5, 1997, Pages 303-308

  Georgelin, Yvon ^a   Wallet, Jean Christophe ^a  

^a Orsay Campus   (France)

Author keywords

[No Author keywords available]

Indexed keywords

NUMBER THEORY; QUANTUM THEORY;

FRACTIONAL QUANTUM HALL EFFECTS; FUNDAMENTAL DOMAIN; HALF-PLANES; MODULAR GROUP; POINCARE; QUANTUM HALL; QUANTUM HALL STATE;

QUANTUM HALL EFFECT;

EID: 0043080340     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(96)00830-4     Document Type: Article

References (34)

1. K. von Klitzing, G. Dorda and M. Pepper, Phys. Rev. Lett. 45 (1980) 494.
2. D.C. Tsui, H.L. Störmer and A.C. Gossard, Phys. Rev. Lett. 48 (1982) 1559.
3. R.B. Laughlin, Phys. Rev. Lett. 50 (1983) 1395.
4. F.D.M. Haldane, Phys. Rev. Lett. 51 (1983) 605.
5. B.I. Halperin, Phys. Rev. Lett. 52 (1984) 1583.
6. M. Stone, Quantum Hall effect (World Scientific, Singapore, 1992).
7. A. Connes, in: Géométrie non commutative (InterEditions, Paris, 1990), for an introduction; J. Bellissard, A. van Elst and H. Schulz-Baldes, J. Math. Phys. 35 (1994) 5373, for a review.
8. A. Connes, in: Géométrie non commutative (InterEditions, Paris, 1990), for an introduction; J. Bellissard, A. van Elst and H. Schulz-Baldes, J. Math. Phys. 35 (1994) 5373, for a review.
9. J.K. Jain, Phys. Rev. Lett. 63 (1989) 199; Phys. Rev. B 41 (1990) 7653.
10. J.K. Jain, Phys. Rev. Lett. 63 (1989) 199; Phys. Rev. B 41 (1990) 7653.
11. D. Mumford, Tata lectures on theta, Vois. I, II, III, (Birkhäuser, Basel, 1983).
12. B. Schoeneberg, Elliptic modular functions, an introduction (Springer, Berlin, 1974).
13. S. Kivelson, Dung-Hai Lee and Shou-Cheng Zhang, Phys. Rev. B 46 (1992) 2223.
14. B.I. Halperin, P.A. Lee and N. Read, Phys. Rev. B 47 (1993) 7312.
15. C.A. Lütken and G.G. Ross, Phys. Rev. B 48 (1993) 2500; Phys. Rev. B 48 (1993) 11837; C.A. Lütken, Nucl. Phys. B 396 (1993) 670.
16. C.A. Lütken and G.G. Ross, Phys. Rev. B 48 (1993) 2500; Phys. Rev. B 48 (1993) 11837; C.A. Lütken, Nucl. Phys. B 396 (1993) 670.
17. C.A. Lütken and G.G. Ross, Phys. Rev. B 48 (1993) 2500; Phys. Rev. B 48 (1993) 11837; C.A. Lütken, Nucl. Phys. B 396 (1993) 670.
18. P. Lévay, J. Math. Phys. 36 (1995) 2792.
19. F.D.M. Haldane and E.H. Rezayi, Phys. Rev. B 31 (1985) 2529.
20. G. Christofano, G. Maiella, R. Musto and F. Nicomedi, Phys. Lett. B 262 (1991) 88.
21. J.E. Avron and R. Seiler, Phys. Rev. Lett. 54 (1985) 259; Q. Niu and D.J. Thouless, Phys. Rev. B 35 (1987) 2188.
22. J.E. Avron and R. Seiler, Phys. Rev. Lett. 54 (1985) 259; Q. Niu and D.J. Thouless, Phys. Rev. B 35 (1987) 2188.
23. R.G. Clark et al., Phys. Rev. Lett. 60 (1988) 1747; J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer and K.W. West, Phys. Rev. B 41 (1990) 7910; H.W. Jiang et al., Phys. Rev. B 44 (1991) 8107; L.W. Engel et al., Phys. Rev. B 47 (1992) 3418; M.B. Santos et al., Phys. Rev. B 46 (1992) 13639; R.R. Du et al., Phys. Rev. Lett. 70 (1992) 2944; H.C. Manoharan and M. Shayegan, Phys. Rev. B 50 (1994) 17662.
24. R.G. Clark et al., Phys. Rev. Lett. 60 (1988) 1747; J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer and K.W. West, Phys. Rev. B 41 (1990) 7910; H.W. Jiang et al., Phys. Rev. B 44 (1991) 8107; L.W. Engel et al., Phys. Rev. B 47 (1992) 3418; M.B. Santos et al., Phys. Rev. B 46 (1992) 13639; R.R. Du et al., Phys. Rev. Lett. 70 (1992) 2944; H.C. Manoharan and M. Shayegan, Phys. Rev. B 50 (1994) 17662.
25. R.G. Clark et al., Phys. Rev. Lett. 60 (1988) 1747; J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer and K.W. West, Phys. Rev. B 41 (1990) 7910; H.W. Jiang et al., Phys. Rev. B 44 (1991) 8107; L.W. Engel et al., Phys. Rev. B 47 (1992) 3418; M.B. Santos et al., Phys. Rev. B 46 (1992) 13639; R.R. Du et al., Phys. Rev. Lett. 70 (1992) 2944; H.C. Manoharan and M. Shayegan, Phys. Rev. B 50 (1994) 17662.
26. R.G. Clark et al., Phys. Rev. Lett. 60 (1988) 1747; J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer and K.W. West, Phys. Rev. B 41 (1990) 7910; H.W. Jiang et al., Phys. Rev. B 44 (1991) 8107; L.W. Engel et al., Phys. Rev. B 47 (1992) 3418; M.B. Santos et al., Phys. Rev. B 46 (1992) 13639; R.R. Du et al., Phys. Rev. Lett. 70 (1992) 2944; H.C. Manoharan and M. Shayegan, Phys. Rev. B 50 (1994) 17662.
27. R.G. Clark et al., Phys. Rev. Lett. 60 (1988) 1747; J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer and K.W. West, Phys. Rev. B 41 (1990) 7910; H.W. Jiang et al., Phys. Rev. B 44 (1991) 8107; L.W. Engel et al., Phys. Rev. B 47 (1992) 3418; M.B. Santos et al., Phys. Rev. B 46 (1992) 13639; R.R. Du et al., Phys. Rev. Lett. 70 (1992) 2944; H.C. Manoharan and M. Shayegan, Phys. Rev. B 50 (1994) 17662.
28. R.G. Clark et al., Phys. Rev. Lett. 60 (1988) 1747; J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer and K.W. West, Phys. Rev. B 41 (1990) 7910; H.W. Jiang et al., Phys. Rev. B 44 (1991) 8107; L.W. Engel et al., Phys. Rev. B 47 (1992) 3418; M.B. Santos et al., Phys. Rev. B 46 (1992) 13639; R.R. Du et al., Phys. Rev. Lett. 70 (1992) 2944; H.C. Manoharan and M. Shayegan, Phys. Rev. B 50 (1994) 17662.
29. R.G. Clark et al., Phys. Rev. Lett. 60 (1988) 1747; J.P. Eisenstein, H.L. Stormer, L.N. Pfeiffer and K.W. West, Phys. Rev. B 41 (1990) 7910; H.W. Jiang et al., Phys. Rev. B 44 (1991) 8107; L.W. Engel et al., Phys. Rev. B 47 (1992) 3418; M.B. Santos et al., Phys. Rev. B 46 (1992) 13639; R.R. Du et al., Phys. Rev. Lett. 70 (1992) 2944; H.C. Manoharan and M. Shayegan, Phys. Rev. B 50 (1994) 17662.
30. S.V. Kravchenko, W. Mason, J.E. Furneaux and V.M. Pudalov, Phys. Rev. Lett., to be published.
31. T.M. Apostol, Modular functions and Dirichlet series in number theory (Springer, Berlin, 1976).
32. M. Flohr, Mod. Phys. Lett. A 11 (1996) 55.
33. A. Capelli and G.R. Zemba, Firenze preprint DFF 249/5/96, hep-th/9605127.
34. E. Fradkin and S. Kivelson, University of Urbana-Champaign preprint, cond-mat/96003156.