Quasi-Fermi Distribution and Resonant Tunneling of Quasiparticles with Fractional Charges

Details Quasi-Fermi Distribution and Resonant Tunneling of Quasiparticles with Fractional Charges Quasi-Fermi Distribution and Resonant Tunneling of Quasiparticles with Fractional Charges

1993-05-19

arxiv.org/abs/cond-mat/9305021v1

Phys. Rev. Lett. 72, 124-7 (1994)

Physics

Condensed Matter

7 pages, REVTeX 3.0, Preprint SU-ITP-93-14

Scientific paper

10.1103/PhysRevLett.72.124

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.

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