Resonant Tunneling Between Quantum Hall Edge States

TL;DR

This paper investigates resonant tunneling between fractional quantum Hall edge states using the Luttinger liquid model, revealing a universal line shape that narrows at zero temperature, supported by quantum Monte Carlo simulations.

Contribution

It provides the first detailed analysis of the resonance line shape in fractional quantum Hall edge tunneling, including a parameter-free prediction confirmed by simulations.

Findings

Resonance line shape is universal for Laughlin states.

Line width scales to zero as temperature approaches zero.

Quantum Monte Carlo simulations confirm theoretical predictions.

Abstract

Resonant tunneling between fractional quantum Hall edge states is studied in the Luttinger liquid picture. For the Laughlin parent states, the resonance line shape is a universal function whose width scales to zero at zero temperature. Extensive quantum Monte Carlo simulations are presented for $\nu = 1/3$ which confirm this picture and provide a parameter-free prediction for the line shape.