Classical origin of conductance oscillations in an integrable cavity

TL;DR

This paper demonstrates that large conductance oscillations observed in a circular ballistic cavity are of classical origin, explained by short trajectories, supported by numerical quantum calculations and classical analysis.

Contribution

It reveals that conductance oscillations in an integrable cavity are primarily classical phenomena explained by specific short trajectories.

Findings

Conductance oscillations are non-monotonic with tip voltage.

Classical trajectories account for large-amplitude oscillations.

Quantum calculations reproduce the observed oscillations.

Abstract

Scanning gate microscopy measurements in a circular ballistic cavity with a tip placed near its center yield a non-monotonic dependence of the conductance on the tip voltage. Detailed numerical quantum calculations reproduce these conductance oscillations, and a classical scheme leads to its physical understanding. The large-amplitude conductance oscillations are shown to be of classical origin, and well described by the effect of a particular class of short trajectories.