Classical orbit bifurcation and quantum interference in mesoscopic magnetoconductance

TL;DR

This paper investigates how classical orbit bifurcations influence quantum interference patterns in the magnetoconductance of mesoscopic systems with antidots, linking experimental observations to semiclassical orbit theory.

Contribution

It introduces a semiclassical approach to connect classical orbit bifurcations with quantum conductance features in mesoscopic devices.

Findings

Dislocations in conductance maxima are linked to orbit bifurcations.

Semiclassical theory explains experimental magnetoconductance patterns.

Classical-quantum correspondence is established in mesoscopic transport.

Abstract

We study the magnetoconductance of electrons through a mesoscopic channel with antidots. Through quantum interference effects, the conductance maxima as functions of the magnetic field strength and the antidot radius (regulated by the applied gate voltage) exhibit characteristic dislocations that have been observed experimentally. Using the semiclassical periodic orbit theory, we relate these dislocations directly to bifurcations of the leading classes of periodic orbits.