Landau-Ginzburg theories for non-abelian quantum Hall states

Nuclear Physics B

Volumn 546, Issue 3, 1999, Pages 711-730

  Fradkin, Eduardo ^a,d   Nayak, Chetan ^b,d   Schoutens, Kareljan ^c  

^a University of Illinois at Urbana Champaign   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF AMSTERDAM   (Netherlands)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Landau Ginzburg theory; Non abelian statistics; Quantum Hall effect

Indexed keywords

EID: 0033519144     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00039-5     Document Type: Article

References (39)

1. G. Moore and N. Read, Nucl. Phys. B 360 (1991) 362.
2. X.G. Wen, Phys. Rev. Lett. 66 (1991) 802.
3. C. Nayak and F. Wilczek, Nucl. Phys. B 479 (1996) 529.
4. E. Fradkin, C. Nayak, A. Tsvelik and F. Wilczek, Nucl. Phys. B 516 [FS] (1998) 704.
5. M. Greiter, X.G. Wen and F. Wilczek, Nucl. Phys. B 374 (1992) 567.
6. X.G. Wen and A. Zee, Phys. Rev. B 46 2290 (1992).
7. E. Witten, Comm. Math. Phys. 121 (1989) 351.
8. A.V. Balatsky and E. Fradkin, Phys. Rev. B 43 (1992) 10622.
9. A. Lopez and E. Fradkin, Phys. Rev. B 51 (1995) 4347; in Fermionic Chern-Simons Field Theory for the fractional quantum Hall effect, to appear in Composite Fermions in the Fractional Quantum hall Effect, ed. O. Heinonnen (World Scientific, Singapore, 1998), cond-mat/9704055 (1997).
10. T.L. Ho, Phys. Rev. Lett. 75 (1995) 1186.
11. B.I. Halperin, Helv. Phys. Acta 56 ( 1983) 75.
12. D. Altschuler, M. Bauer and C. Itzykson, Comm. Math. Phys. 132 (1990) 349; See also, I.K. Affleck and A.W.W. Ludwig, Nucl. Phys. B 336 (1990) 517.
13. D. Altschuler, M. Bauer and C. Itzykson, Comm. Math. Phys. 132 (1990) 349; See also, I.K. Affleck and A.W.W. Ludwig, Nucl. Phys. B 336 (1990) 517.
14. E.H. Rezayi and N. Read, Phys. Rev. B 56 (1996) 16864.
15. N. Read and E. Rezayi, Beyond Paired Quantum Hall States: Parafermions and Incompressible States in the First Excited Landau Level, cond-mat/9809384.
16. X.G. Wen and A. Zee, cond-mat/9711223.
17. A. Cappelli, L.S. Georgiev and I.T. Todorov, A Unified Conformai Field Theory Description of Paired Quantum Hall States, hep-th/9810105.
18. See, for instance, P. Ginsparg, Applied conformai field theory, in Strings, Fields and Critical Phenomena, Les Houches, École d'Été de Physique Théorique, ed. E. Brézin and J. Zinn-Justin (1988) (North- Holland, Amsterdam, 1990).
19. E. Witten, Comm. Math. Phys. 92 (1984) 455.
20. D. Arovas, A. Auerbach and F.D.M. Haldane, Phys. Rev. Lett. 60 (1988) 531.
21. F.D.M. Haldane, Phys. Rev. Lett. 51 (1983) 605.
22. I.K. Affleck and F.D.M. Haldane, Phys. Rev. B 36 (1987) 5291.
23. S.C. Zhang, T.H. Hansson and S. Kivelson, Phys. Rev. Lett. 62 (1989) 82.
24. See, for instance, N.D. Mermin, Rev. Mod. Phys. 51 (1979) 591, and references therein.
25. J. Goldstone and F. Wilczek, Phys. Rev. Lett. 47 (1981) 986.
26. [25] D.H. Lee, Phys. Rev. Lett. 80 (1998) 4745; G. Murthy and R. Shankar, Phys. Rev. Lett. 79 (1997) 4437; V. Pasquier and F.D.M. Haldane, Nucl. Phys. B 516 [FS] (1998) 719; N. Read, Phys. Rev. B 58 (1998) 16262.
27. [25] D.H. Lee, Phys. Rev. Lett. 80 (1998) 4745; G. Murthy and R. Shankar, Phys. Rev. Lett. 79 (1997) 4437; V. Pasquier and F.D.M. Haldane, Nucl. Phys. B 516 [FS] (1998) 719; N. Read, Phys. Rev. B 58 (1998) 16262.
28. [25] D.H. Lee, Phys. Rev. Lett. 80 (1998) 4745; G. Murthy and R. Shankar, Phys. Rev. Lett. 79 (1997) 4437; V. Pasquier and F.D.M. Haldane, Nucl. Phys. B 516 [FS] (1998) 719; N. Read, Phys. Rev. B 58 (1998) 16262.
29. [25] D.H. Lee, Phys. Rev. Lett. 80 (1998) 4745; G. Murthy and R. Shankar, Phys. Rev. Lett. 79 (1997) 4437; V. Pasquier and F.D.M. Haldane, Nucl. Phys. B 516 [FS] (1998) 719; N. Read, Phys. Rev. B 58 (1998) 16262.
30. K. Schoutens, Phys. Rev. Lett. 81 (1998) 1929.
31. A. Cappelli, C.A. Trugenberger and G. Zemba, Nucl. Phys. B 448 (1995) 470.
32. 1+∞ Minimal Models, hep-th/9808179.
33. P. Bouwknegt and K. Schoutens, Exclusion Statistics in Conformai Field Theory: Generalized Fermions and Spinons for Level-1 WZW Theories, hep-th/9810113.
34. F.D.M. Haldane, Phys. Rev. Lett. 67 (1991) 937.
35. T. Fukui and N. Kawakami, Phys. Rev. B 51 (1995) 5239.
36. P. Bouwknegt, A.W.W. Ludwig and K. Schoutens, Phys. Lett. B 359 (1995) 304.
37. H. Frahm and M. Stahlsmeier, Phys. Lett. A 250 (1998) 293.
38. C. Nayak and F. Wilczek, Phys. Rev. Lett. 73 (1994) 2740.
39. R.A.J. van Elburg and K. Schoutens, Phys. Rev. B 58 (1998) 15704.