Resonance Patterns of an Antidot Cluster: From Classical to Quantum Ballistics

TL;DR

This paper investigates the transition from classical to quantum behavior in antidot cluster resonance patterns using simulations and theoretical analysis, revealing how AB resonance periods change with magnetic field strength.

Contribution

It introduces a combined approach of quantum and classical simulations along with Feynman path integrals to explain AB resonance patterns across different magnetic regimes.

Findings

Classical orbits explain low B resonance behavior.

Quantum effects dominate high B regime.

Transition point marks the breakdown of classical models.

Abstract

We explain the experimentally observed Aharonov-Bohm (AB) resonance patterns of an antidot cluster by means of quantum and classical simulations and Feynman path integral theory. We demonstrate that the observed behavior of the AB period signals the crossover from a low B regime which can be understood in terms of electrons following classical orbits to an inherently quantum high B regime where this classical picture and semiclassical theories based on it do not apply.