# Coulomb blockade of anyons

## TL;DR

This paper demonstrates how Coulomb interactions induce hard-core anyons in quantum Hall systems and reveals their unique exchange statistics effects on tunneling conductance, even without quasiparticle exchanges.

## Contribution

It extends the Wigner-Jordan model to describe coherent tunneling of anyons in multi-antidot systems, highlighting observable effects of anyonic statistics.

## Key findings

- Identification of a resonant tunneling peak due to anyonic statistics
- Extension of the Wigner-Jordan model to antidot systems
- Observation of exchange statistics effects without quasiparticle exchange

## Abstract

Coulomb interaction turns anyonic quasiparticles of a primary quantum Hall liquid with filling factor $\nu =1/(2m+1)$ into hard-core anyons. We have developed a model of coherent transport of such quasiparticles in systems of multiple antidots by extending the Wigner-Jordan description of 1D abelian anyons to tunneling problems. We show that the anyonic exchange statistics manifests itself in tunneling conductance even in the {\em absence} of quasiparticle exchanges. In particular, it can be seen as a non-vanishing resonant peak associated with quasiparticle tunneling through a line of three antidots.