Quantum point contact in a compressible Quantum Hall liquid

TL;DR

This paper investigates electron transport through a quantum point contact in a compressible Quantum Hall liquid, revealing deviations from expected power-law behavior in tunneling current.

Contribution

It derives the impedance function for the contact in both diffusive and ballistic regimes, challenging the single-mode chiral Luttinger liquid model predictions.

Findings

Tunneling current deviates from power-law $I o V^{1/\nu}$

Impedance function derived for diffusive and ballistic regimes

Results suggest modifications to existing theoretical models

Abstract

We consider electron transport through a quantum point contact between compressible Quantum Hall liquids and derive the contact's impedance function for both diffusive and ballistic regimes of the bulk electron motion. In either regime, the tunneling current deviates from a power-law behavior $I\sim V^{1/\nu}$ expected on the basis of the single-mode chiral Luttinger liquid phenomenology.