The Quantum Hall Effect: Unified Scaling Theory and Quasi-particles at the Edge

TL;DR

This paper presents a unified scaling theory for conductance in both integer and fractional quantum Hall effects and introduces a quasi-particle framework for edge excitations in the fractional regime.

Contribution

It provides a comprehensive theory unifying conductance scaling and a novel quasi-particle description of edge states in the quantum Hall effect.

Findings

Unified scaling behavior for integer and fractional regimes.

Quasi-particle formulation of chiral Luttinger Liquids.

Enhanced understanding of edge excitations in fractional quantum Hall systems.

Abstract

We address two fundamental issues in the physics of the quantum Hall effect: a unified description of scaling behavior of conductances in the integral and fractional regimes, and a quasi-particle formulation of the chiral Luttinger Liquids that describe the dynamics of edge excitations in the fractional regime.