Transport properties of quasiparticles with fractional exclusion statistics

TL;DR

This paper analyzes the ballistic transport of quasiparticles with fractional exclusion statistics in a 1D wire, showing that their transport coefficients depend on fractional charge and are described by formulas similar to those for normal particles.

Contribution

It develops a formalism for quasiparticle transport with fractional exclusion statistics and applies it to fractional charge, highlighting dependence of transport coefficients on fractional charge.

Findings

Transport coefficients depend on fractional charge.

Formalism applies to quasiparticles with exclusion statistics.

Resonant tunneling features are discussed.

Abstract

We consider the ballistic transport of quasiparticles with exclusion statistics through a 1D wire within the Landauer-Buttiker approach. We demonstrate that quasiparticle transport coefficients (electrical and heat conductance, as well as thermopower) are determined by the same general formulae as for particles with normal statistics. By applying the developed formalism to the ballistic transport of fractional charge it is shown that for a wire in contact to quasiparticles reservoirs the transport coefficients depend on the fractional charge. Specific features of resonant tunneling of quasiparticles are discussed.