Tunnelling Spectroscopy of Localized States near the Quantum Hall Edge

TL;DR

This paper analyzes tunneling spectroscopy near the quantum Hall edge, proposing a two-step tunneling mechanism involving localized states to explain discrepancies with existing chiral Luttinger liquid theory.

Contribution

It introduces a novel two-step tunneling model involving localized states to better explain experimental tunneling data.

Findings

Evidence for localized states near the quantum Hall edge

Discrepancy between experimental data and chiral Luttinger liquid predictions

Proposed two-step tunneling mechanism

Abstract

In the paper we dscuss experimental results of M. Grayson et al. on tunneling $I$-$V$ characteristics of the quantum Hall edge. We suggest a two step tunneling mechanism involving localized electron states near the edge, which might account for discrepancy between the experimental data and the predictions of the chiral Luttinger liquid theory of the quantum Hall edge.