Quasi Fermi distribution and resonant tunneling of quasiparticles with fractional charges
- 3 January 1994
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (1) , 124-127
- https://doi.org/10.1103/physrevlett.72.124
Abstract
We study the resonant tunneling of quasiparticles through an impurity between the edges of a Fractional Quantum Hall sample. We show that the one-particle momentum distribution of fractionally charged edge quasiparticles has a quasi-Fermi character. The density of states near the quasi-Fermi energy at zero temperature is singular due to the statistical interaction of quasiparticles. Another effect of this interaction is a new selection rule for the resonant tunneling of fractionally charged quasiparticles: the resonance is suppressed unless an integer number of {\em electrons} occupies the impurity. It allows a new explanation of the scaling behavior observed in the mesoscopic fluctuations of the conductivity in the FQHE.Comment: 7 pages, REVTeX 3.0, Preprint SU-ITP-93-1Keywords
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This publication has 16 references indexed in Scilit:
- Quasiparticle charge of FQH liquid from resistance fluctuation measurementsSurface Science, 1992
- Resistance fluctuations in the integral- and fractional-quantum-Hall-effect regimesPhysical Review B, 1991
- LANDAU LEVELS AND VERTEX OPERATIONS FOR ANYONSModern Physics Letters A, 1991
- ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principlePhysical Review Letters, 1991
- Semiclassical theory of localized many-anyon statesPhysical Review Letters, 1990
- Comment on ‘‘Resistance fluctuations in narrow AlGaAs/GaAs heterostructures: Direct evidence of fractional charge in the fractional quantum Hall effect’’Physical Review Letters, 1990
- Resistance fluctuations in narrow AlGaAs/GaAs heterostructures: Direct evidence of fractional charge in the fractional quantum hall effectPhysical Review Letters, 1989
- Methods to measure the charge of the quasiparticles in the fractional quantum Hall effectPhysical Review B, 1989
- Model tunneling problems in a high magnetic fieldPhysical Review B, 1988
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983