Bosonization theory for tunneling spectra in smooth edges of Quantum Hall systems

TL;DR

This paper develops a bosonization approach to analyze the tunneling spectra of smooth edges in quantum Hall systems, revealing power law behaviors that align with experimental observations and differ from traditional chiral Luttinger liquid predictions.

Contribution

It introduces a bosonization method for smooth quantum Hall edges and establishes a relationship between spectral functions and structure factors, providing new insights into edge tunneling.

Findings

Power law scaling in I-V characteristics at low voltage and temperature.

Results agree with recent experimental tunneling spectra.

Differences from chiral Luttinger liquid theory predictions.

Abstract

We calculate the spectral function of a smooth edge of a quantum Hall system in the lowest Landau level by means of a bosonization technique. We obtain a general relationship between the one electron spectral function and the dynamical structure factor. The resulting I-V characteristics exhibit, at low voltage and temperature, power law scaling, generally different from the one predicted by the chiral Luttinger liquid theory, and in good agreement with recent experimental results.