Quasi-particles for quantum Hall edges

TL;DR

This paper develops a quasi-particle framework for fractional quantum Hall edge states, identifying fundamental quasi-particles and deriving a kinetic equation for charge transport.

Contribution

It introduces a quasi-particle formulation for edge theories in the fractional quantum Hall effect, including algebraic properties and transport equations.

Findings

Edge quasi-particles include electrons and quasi-holes with specific charges.

Quasi-particles obey Haldane exclusion statistics.

Derived a kinetic equation for charge transport at the edge.

Abstract

We discuss a quasi-particle formulation of effective edge theories for the fractional quantum Hall effect. Fundamental quasi-particles for the Laughlin state with filling fraction \nu =1/3 are edge electrons of charge -e and edge quasi-holes of charge +e/3. These quasi-particles satisfy exclusion statistics in the sense of Haldane. We exploit algebraic properties of edge electrons to derive a kinetic equation for charge transport between a \nu=1/3 fractional quantum Hall edge and a normal metal.