Abstract
We have found a solution to a model of tunneling between a multichannel Fermi liquid reservoir and an edge of the principal fractional quantum Hall liquid (FQHL) in the strong-coupling limit. The solution explains how the chiral edge propagation makes the universal two-terminal conductance of the FQHL fractionally quantized and different from that of a 1D Tomonaga-Luttinger liquid wire, where a similar model, but preserving the time reversal symmetry, predicts unsuppressed free-electron conductance.
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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).
X. G. Wen, Phys. Rev. Lett. 64, 2206 (1990); J. Frölich and T. Kerler, Nucl. Phys. B [FS] 354, 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).
X. G. Wen, Phys. Rev. B 44, 5708 (1991); K. Moon, H. Yi, C. L. Kane, et al., Phys. Rev. Lett. 71, 4381 (1993).
C. L. Kane and M. P. A. Fisher, Phys. Rev. B 46, 15233 (1992).
S. Tomonaga, Prog. Theor. Phys. 5, 544 (1954).
F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
R. Landauer, Philos. Mag. 21, 863 (1970).
S. Tarucha, T. Honda, and T. Saku, Solid State Commun. 94, 413 (1995); R. de Picciotto, H. L. Stormer, A. Yacoby, et al., Phys. Rev. Lett. 85, 1730 (2000); A. Yacoby, H. L. Stormer, Ned S. Wingreen, et al., Phys. Rev. Lett. 77, 4612 (1996).
V. V. Ponomarenko, Phys. Rev. B 52, R8666 (1995); 54, 10328 (1996); D. L. Maslov and M. Stone, Phys. Rev. B 52, R5539 (1995); I. Safi and H. J. Schulz, Phys. Rev. B 52, R17040 (1995).
D. B. Chklovskii and B. I. Halperin, Phys. Rev. B 57, 3781 (1998).
C. Chamon and E. Fradkin, Phys. Rev. B 56, 2012 (1997).
A. M. Chang, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 77, 2538 (1996); A. M. Chang and J. E. Cunningham, Surf. Sci. 229, 216 (1990).
X. G. Wen, Int. J. Mod. Phys. B 6, 1711 (1992); A. Yu. Alekseev, V. V. Cheianov, and J. Fröhlich, Phys. Rev. B 54, R17320 (1996).
C. L. Kane and M. P. A. Fisher, Phys. Rev. B 52, 17393 (1995).
V. V. Ponomarenko and D. V. Averin, in preparation.
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From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 74, No. 2, 2001, pp. 92–95.
Original English Text Copyright © 2001 by Ponomarenko, Averin.
This article was submitted by the authors in English.