Weak-Localization and Integrability in Ballistic Cavities

TL;DR

This paper investigates how weak localization effects influence magnetoconductance in ballistic cavities, revealing differences between chaotic and regular systems and comparing semiclassical and random matrix theory predictions.

Contribution

It demonstrates an interference contribution to magnetoconductance and tests semiclassical versus random matrix theory explanations in ballistic cavities.

Findings

G(B) differs qualitatively for chaotic and regular cavities

Semiclassical theory poorly explains the magnitude of G(B)

Random matrix theory aligns well with observed G(B)

Abstract

We demonstrate the existence of an interference contribution to the average magnetoconductance, G(B), of ballistic cavities and use it to test the semiclassical theory of quantum billiards. G(B) is qualitatively different for chaotic and regular cavities, an effect explained semiclassically by the differing classical distribution of areas. The magnitude of G(B) is poorly explained by the semiclassical theory of coherent backscattering (elastic enhancement factor)-- correlations beyond time-reversed pairs of trajectories must be included-- but is in agreement with random matrix theory.