Phase--coherence Effects in Antidot Lattices: A Semiclassical Approach to Bulk Conductivity

TL;DR

This paper develops a semiclassical method to analyze phase-coherence effects in antidot lattices, linking classical periodic orbits to quantum conductivity oscillations, and reproduces experimental observations considering disorder and temperature.

Contribution

It introduces a semiclassical framework connecting classical periodic orbits with quantum conductivity oscillations in antidot lattices.

Findings

Derived semiclassical expressions for conductivity tensor.

Reproduced observed phase coherence oscillations.

Accounted for effects of disorder and temperature.

Abstract

We derive semiclassical expressions for the Kubo conductivity tensor. Within our approach the oscillatory parts of the diagonal and Hall conductivity are given as sums over contributions from classical periodic orbits in close relation to Gutzwiller's trace formula for the density of states. Taking into account the effects of weak disorder and temperature we reproduce recently observed anomalous phase coherence oscillations in the conductivity of large antidot arrays.