Quasi-particle Tunneling Through a Barrier in the Fractional Quantum Hall Regime

TL;DR

This paper investigates the tunneling behavior of fractionally charged quasi-particles in the fractional quantum Hall regime, analyzing how system size and disorder influence tunneling amplitudes and the transition to electron-dominated tunneling.

Contribution

It introduces a multiply connected geometry to study QP tunneling and evaluates the crossover from QP to electron tunneling as system size varies.

Findings

Disorder enhances tunneling rates for both electrons and QPs.

A crossover from QP-dominated to electron-dominated tunneling occurs with increasing system size.

Global constraints in the geometry permit QP tunneling despite previous prohibitions.

Abstract

Tunneling of fractionally charged quasi-particles (QPs) through a barrier is considered in the context of a multiply connected geometry. In this geometry global constraints do not prohibit such a tunneling process. The tunneling amplitude is evaluated and the crossover from mesoscopic QP-dominated to electron-dominated tunneling as the system's size is increased is found. The presence of disorder enhances both electron and QP tunneling rates.