Strong-coupling branching between edges of fractional quantum Hall liquids

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 19, 2004, Pages 1-11

  Ponomarenko, V V ^a,b   Averin, D V ^a  

^a STONY BROOK UNIVERSITY   (United States)

^b PETER THE GREAT ST PETERSBURG POLYTECHNIC UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BOSONIZATION; CHIRALITY; ELECTRICITY; ELECTRON; GEOMETRY; MATHEMATICAL ANALYSIS; MOLECULAR PHYSICS;

EID: 12344280891     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.195316     Document Type: Article

References (38)

1. B.I. Halperin, Phys. Rev. B 25, 2185 (1982); P. Streda, J. Kucera, and A.H. MacDonald, Phys. Rev. Lett. 59, 1973 (1987); M. Buttiker, Phys. Rev. B 38, 9375 (1988).
2. B.I. Halperin, Phys. Rev. B 25, 2185 (1982); P. Streda, J. Kucera, and A.H. MacDonald, Phys. Rev. Lett. 59, 1973 (1987); M. Buttiker, Phys. Rev. B 38, 9375 (1988).
3. B.I. Halperin, Phys. Rev. B 25, 2185 (1982); P. Streda, J. Kucera, and A.H. MacDonald, Phys. Rev. Lett. 59, 1973 (1987); M. Buttiker, Phys. Rev. B 38, 9375 (1988).
4. X.G. Wen, Phys. Rev. Lett. 64, 2206 (1990); J. Frölich and T. Kerler, Nucl. Phys. B: Field Theory Stat. Syst. 354 [FS], 369 (1991); M. Stone and M.P. A. Fisher, Int. J. Mod. Phys. B 8, 2539 (1994); N. Nagaosa and M. Kohmoto, Phys. Rev. Lett. 75, 4294 (1995).
5. X.G. Wen, Phys. Rev. Lett. 64, 2206 (1990); J. Frölich and T. Kerler, Nucl. Phys. B: Field Theory Stat. Syst. 354 [FS], 369 (1991); M. Stone and M.P. A. Fisher, Int. J. Mod. Phys. B 8, 2539 (1994); N. Nagaosa and M. Kohmoto, Phys. Rev. Lett. 75, 4294 (1995).
6. X.G. Wen, Phys. Rev. Lett. 64, 2206 (1990); J. Frölich and T. Kerler, Nucl. Phys. B: Field Theory Stat. Syst. 354 [FS], 369 (1991); M. Stone and M.P. A. Fisher, Int. J. Mod. Phys. B 8, 2539 (1994); N. Nagaosa and M. Kohmoto, Phys. Rev. Lett. 75, 4294 (1995).
7. X.G. Wen, Phys. Rev. Lett. 64, 2206 (1990); J. Frölich and T. Kerler, Nucl. Phys. B: Field Theory Stat. Syst. 354 [FS], 369 (1991); M. Stone and M.P. A. Fisher, Int. J. Mod. Phys. B 8, 2539 (1994); N. Nagaosa and M. Kohmoto, Phys. Rev. Lett. 75, 4294 (1995).
8. C.L. Kane and M.P.A. Fisher, Phys. Rev. Lett. 72, 724 (1994).
9. V.J. Goldman and B. Su, Science 267, 1010 (1995); V.J. Goldman, I. Karakurt, J. Liu, and A. Zaslavsky, Phys. Rev. B 64, 085319 (2001).
10. V.J. Goldman and B. Su, Science 267, 1010 (1995); V.J. Goldman, I. Karakurt, J. Liu, and A. Zaslavsky, Phys. Rev. B 64, 085319 (2001).
11. L. Saminadayar, D.C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. 79, 2526 (1997); R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) 389, 162 (1997); M. Reznikov, R. de Picciotto, T.G. Griffiths, M. Heiblum, and V. Umansky, ibid. 399, 238 (1999).
12. L. Saminadayar, D.C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. 79, 2526 (1997); R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) 389, 162 (1997); M. Reznikov, R. de Picciotto, T.G. Griffiths, M. Heiblum, and V. Umansky, ibid. 399, 238 (1999).
13. L. Saminadayar, D.C. Glattli, Y. Jin, and B. Etienne, Phys. Rev. Lett. 79, 2526 (1997); R. de-Picciotto, M. Reznikov, M. Heiblum, V. Umansky, G. Bunin, and D. Mahalu, Nature (London) 389, 162 (1997); M. Reznikov, R. de Picciotto, T.G. Griffiths, M. Heiblum, and V. Umansky, ibid. 399, 238 (1999).
14. I. Safi, P. Devillard, and T. Martin, Phys. Rev. Lett. 86, 4628 (2001); C.L. Kane, ibid. 90, 226802 (2003); S. Vishveshwara, ibid. 91, 196803 (2003).
15. I. Safi, P. Devillard, and T. Martin, Phys. Rev. Lett. 86, 4628 (2001); C.L. Kane, ibid. 90, 226802 (2003); S. Vishveshwara, ibid. 91, 196803 (2003).
16. I. Safi, P. Devillard, and T. Martin, Phys. Rev. Lett. 86, 4628 (2001); C.L. Kane, ibid. 90, 226802 (2003); S. Vishveshwara, ibid. 91, 196803 (2003).
17. D.V. Averin and V.J. Goldman, Solid State Commun. 121, 25 (2002).
18. N.P. Sandler, C. de C. Chamon, and E. Fradkin, Phys. Rev. B 57, 12324 (1998); 59, 12521 (1999).
19. N.P. Sandler, C. de C. Chamon, and E. Fradkin, Phys. Rev. B 57, 12324 (1998); 59, 12521 (1999).
20. C.L. Kane and M.P.A. Fisher, Phys. Rev. B 52, 17393 (1995).
21. C. de C. Chamon and E. Fradkin, Phys. Rev. B 56, 2012 (1997).
22. A.M. Chang, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 77, 2538 (1996); M. Grayson, D.C. Tsui, L.N. Pfeiffer, K.W. West, and A.M. Chang, ibid. 80, 1062 (1998); A.M. Chang, M.K. Wu, C.C. Chi, L.N. Pfeiffer, and K.W. West, ibid. 86, 143 (2001); M. Hilke, D.C. Tsui, M. Grayson, L.N. Pfeiffer, and K.W. West, ibid. 87, 186806 (2001); A.M. Chang and J.E. Cunningham, Surf. Sci. 229, 216 (1990).
23. A.M. Chang, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 77, 2538 (1996); M. Grayson, D.C. Tsui, L.N. Pfeiffer, K.W. West, and A.M. Chang, ibid. 80, 1062 (1998); A.M. Chang, M.K. Wu, C.C. Chi, L.N. Pfeiffer, and K.W. West, ibid. 86, 143 (2001); M. Hilke, D.C. Tsui, M. Grayson, L.N. Pfeiffer, and K.W. West, ibid. 87, 186806 (2001); A.M. Chang and J.E. Cunningham, Surf. Sci. 229, 216 (1990).
24. A.M. Chang, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 77, 2538 (1996); M. Grayson, D.C. Tsui, L.N. Pfeiffer, K.W. West, and A.M. Chang, ibid. 80, 1062 (1998); A.M. Chang, M.K. Wu, C.C. Chi, L.N. Pfeiffer, and K.W. West, ibid. 86, 143 (2001); M. Hilke, D.C. Tsui, M. Grayson, L.N. Pfeiffer, and K.W. West, ibid. 87, 186806 (2001); A.M. Chang and J.E. Cunningham, Surf. Sci. 229, 216 (1990).
25. A.M. Chang, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 77, 2538 (1996); M. Grayson, D.C. Tsui, L.N. Pfeiffer, K.W. West, and A.M. Chang, ibid. 80, 1062 (1998); A.M. Chang, M.K. Wu, C.C. Chi, L.N. Pfeiffer, and K.W. West, ibid. 86, 143 (2001); M. Hilke, D.C. Tsui, M. Grayson, L.N. Pfeiffer, and K.W. West, ibid. 87, 186806 (2001); A.M. Chang and J.E. Cunningham, Surf. Sci. 229, 216 (1990).
26. A.M. Chang, L.N. Pfeiffer, and K.W. West, Phys. Rev. Lett. 77, 2538 (1996); M. Grayson, D.C. Tsui, L.N. Pfeiffer, K.W. West, and A.M. Chang, ibid. 80, 1062 (1998); A.M. Chang, M.K. Wu, C.C. Chi, L.N. Pfeiffer, and K.W. West, ibid. 86, 143 (2001); M. Hilke, D.C. Tsui, M. Grayson, L.N. Pfeiffer, and K.W. West, ibid. 87, 186806 (2001); A.M. Chang and J.E. Cunningham, Surf. Sci. 229, 216 (1990).
27. V.V. Ponomarenko and D.V. Averin, JETP Lett. 74, 87 (2001); Phys. Rev. B 67, 035314 (2003).
28. V.V. Ponomarenko and D.V. Averin, JETP Lett. 74, 87 (2001); Phys. Rev. B 67, 035314 (2003).
29. E. Comforti, Y.C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. 89, 066803 (2002); E. Comforti, Y.C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Nature (London) 416, 515 (2002).
30. E. Comforti, Y.C. Chung, M. Heiblum, and V. Umansky, Phys. Rev. Lett. 89, 066803 (2002); E. Comforti, Y.C. Chung, M. Heiblum, V. Umansky, and D. Mahalu, Nature (London) 416, 515 (2002).
31. J.K. Jain, Phys. Rev. Lett. 63, 199 (1989).
32. R. Guyon, P. Devillard, T. Martin, and I. Safi, Phys. Rev. B 65, 153304 (2002).
33. j. Because of the vanishing energy of these fields, however, the uncertainty in their definition affects only the zero-frequency component of the imaginary-time correlator (13) which is not obtained by the analytical continuation from real time, and would not change Eq. (16) on which the subsequent calculations are based.
34. A. Schmid, Phys. Rev. Lett. 51, 1506 (1983).
35. Ch. Nayak, M.P.A. Fisher, A.W.W. Ludwig, and H.H. Lin, Phys. Rev. B 59, 15694 (1999).
36. C.L. Kane and M.P.A. Fisher, Phys. Rev. B 46, 15233 (1992).
37. V.V. Ponomarenko and N. Nagaosa, Phys. Rev. B 60, 16865 (1999); Solid State Commun. 110, 321 (1999).
38. V.V. Ponomarenko and N. Nagaosa, Phys. Rev. B 60, 16865 (1999); Solid State Commun. 110, 321 (1999).