Chaos and quantum interference effect in semiconductor ballistic micro-structures

TL;DR

This paper investigates quantum interference effects in ballistic Aharonov-Bohm billiards, revealing how classical chaos influences quantum conductance through semiclassical analysis.

Contribution

It introduces semiclassical formulas for conductance in chaotic and regular AB billiards based on classical scattering properties.

Findings

Chaotic and regular billiards exhibit qualitatively different conductance behaviors.

Semiclassical formulas depend solely on classical scattering information.

Quantum interference effects are significantly affected by underlying classical dynamics.

Abstract

We study the quantum-interference effect in the ballistic Aharonov-Bohm (AB) billiard. The wave-number averaged conductance and the correlation function of the non-averaged conductance are calculated by use of semiclassical theory. Chaotic and regular AB billiards have turned out to lead to qualitatively different semiclassical formulas for the conductance with their behavior determined only by knowledge regarding the underlying classical scattering.