Boundary multifractality at the integer quantum hall plateau transition: Implications for the critical theory

Physical Review Letters

Volumn 101, Issue 11, 2008, Pages

  Obuse, H ^d   Subramaniam, A R ^b   Furusaki, A ^a   Gruzberg, I A ^b   Ludwig, A W W ^c  

^a RIKEN   (Japan)

^b UNIVERSITY OF CHICAGO   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

^d KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

MULTI-FRACTAL SPECTRUM; QUANTUM HALL; TWO-DIMENSIONAL;

WAVE FUNCTIONS;

EID: 51749108603     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.101.116802     Document Type: Article

References (34)

1. K.v. Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980). PRLTAO 0031-9007 10.1103/PhysRevLett.45.494
2. The Quantum Hall Effect, edited by, R.E. Prange, and, S.M. Girvin, (Springer-Verlag, New York, 1990).
3. H. Levine, S.B. Libby, and A.M.M. Pruisken, Phys. Rev. Lett. 51, 1915 (1983); PRLTAO 0031-9007 10.1103/PhysRevLett.51.1915
4. D.E. Khmelnitskii, JETP Lett. 38, 552 (1983). JTPLA2 0021-3640
5. H. Obuse, Phys. Rev. Lett. 98, 156802 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.98.156802
6. H. Obuse Physica (Amsterdam) 40E, 1404 (2008). PELNFM 1386-9477 10.1016/j.physe.2007.09.024
7. M.R. Zirnbauer, arXiv:hep-th/9905054.
8. M.J. Bhaseen, Nucl. Phys. NUPBBO 0550-3213 B580, 688 (2000); 10.1016/S0550-3213(00)00276-5
9. A.M. Tsvelik, Phys. Rev. B PRBMDO 0163-1829 75, 184201 (2007). 10.1103/PhysRevB.75.184201
10. A. LeClair, arXiv:0710.3778v1.
11. M. Bershadsky, S. Zhukov, and A. Vaintrob, Nucl. Phys. NUPBBO 0550-3213 B559, 205 (1999); 10.1016/S0550-3213(99)00378-8
12. N. Berkovits, C. Vafa, and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 03 (1999) 018.
13. F. Evers and A.D. Mirlin, arXiv:0707.4378.
14. F. Wegner, Z. Phys. B ZPBBDJ 0340-224X 36, 209 (1980); 10.1007/BF01325284
15. B. Duplantier and A.W.W. Ludwig, Phys. Rev. Lett. 66, 247 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.66.247
16. A.R. Subramaniam, Phys. Rev. Lett. 96, 126802 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.126802
17. A.D. Mirlin, Phys. Rev. Lett. 97, 046803 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.046803
18. F. Evers, A. Mildenberger, and A.D. Mirlin, Phys. Rev. B PRBMDO 0163-1829 64, 241303(R) (2001). 10.1103/PhysRevB.64.241303
19. R. Klesse and M.R. Zirnbauer, Phys. Rev. Lett. 86, 2094 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.2094
20. A.W.W. Ludwig, Phys. Rev. B PRBMDO 0163-1829 50, 7526 (1994). 10.1103/PhysRevB.50.7526
21. C. Mudry, C. Chamon, and X.-G. Wen, Nucl. Phys. NUPBBO 0550-3213 B466, 383 (1996). 10.1016/0550-3213(96)00128-9
22. R. Gade and F. Wegner, Nucl. Phys. NUPBBO 0550-3213 B360, 213 (1991); 10.1016/0550-3213(91)90401-I
23. R. Gade, Nucl. Phys. NUPBBO 0550-3213 B398, 499 (1993). 10.1016/0550-3213(93)90601-K
24. S. Guruswamy, A. LeClair, and A.W.W. Ludwig, Nucl. Phys. NUPBBO 0550-3213 B583, 475 (2000). 10.1016/S0550-3213(00)00245-5
25. M.R. Zirnbauer, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 37, 4986 (1996). 10.1063/1.531675
26. A. Altland and M.R. Zirnbauer, Phys. Rev. B PRBMDO 0163-1829 55, 1142 (1997). 10.1103/PhysRevB.55.1142
27. M. Bocquet and J.T. Chalker, Phys. Rev. B PRBMDO 0163-1829 67, 054204 (2003). 10.1103/PhysRevB.67.054204
28. J.T. Chalker and P.D. Coddington, J. Phys. C 21, 2665 (1988). JPSOAW 0022-3719 10.1088/0022-3719/21/14/008
29. J. Cardy, Nucl. Phys. NUPBBO 0550-3213 B240, 514 (1984). 10.1016/0550-3213(84)90241-4
30. V.G. Knizhnik and A.B. Zamolodchikov, Nucl. Phys. NUPBBO 0550-3213 B247, 83 (1984). 10.1016/0550-3213(84)90374-2
31. For a recent account, see G. Götz, T. Quella, and V. Schomerus, J. High Energy Phys. JHEPFG 1029-8479 03 (2007) 003.
32. T. Quella, V. Schomerus, and T. Creutzig, arXiv:0712.3549.
33. M. Janssen, M. Metzler, and M.R. Zirnbauer, Phys. Rev. B PRBMDO 0163-1829 59, 15836 (1999). 10.1103/PhysRevB.59.15836
34. F. Evers, A. Mildenberger, and A.D. Mirlin, following Letter, Phys. Rev. Lett. 101, 116803 (2008). PRLTAO 0031-9007