Resonant Tunneling Between Quantum Hall Edge States

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 $ν= 1/3$ which confirm this picture and provide a parameter-free prediction for the line shape.