Transport through a Constriction in a FQH Annulus

TL;DR

This paper investigates flux-dependent thermodynamic properties of a fractional quantum Hall annulus using the composite fermion approach, revealing conditions for flux periodicity restoration and analyzing persistent currents through strong constrictions.

Contribution

It introduces a composite fermion framework to analyze flux periodicity and persistent currents in FQH annuli with constrictions, extending Wen's edge state theory.

Findings

Flux periodicity is restored with tunneling of composite fermions.

Persistent current magnitude is characterized across strong constrictions.

Extension of Wen's edge theory to finite constriction strength.

Abstract

The composite fermion perspective is used, to study the flux dependence of thermodynamic properties of an annulus in the fractional quantum hall state at odd inverse filling factor. It is shown that $\phi_0$- periodicity is restored, if there is tunneling of composite fermions between the edges of the annulus. In addition, the result for the finite magnitude of the persistent current across a very strong constriction in the annulus is presented, as obtained from an extension of Wen's edge state theory.