Berry phase induced persistent current in mesoscopic systems

TL;DR

This paper explores how the Berry phase influences persistent charge currents in disordered mesoscopic rings, showing that the average current oscillates with geometric flux within the adiabatic regime.

Contribution

It introduces a diagrammatic method to compute disorder-averaged persistent currents and demonstrates the Berry phase's role in their oscillatory behavior.

Findings

Persistent current oscillates with geometric flux due to Berry phase

Disorder averaging reveals oscillatory behavior in mesoscopic rings

Adiabatic regime is crucial for observing Berry phase effects

Abstract

Since the discovery of the Berry phase, there has been much interest in the study of topological effects in the fields of quantum mechanics and condensed matter physics. In this paper we investigate the persistent charge current in mesoscopic disorderd rings and compute the disorder averaged persistent current using the diagrammatic method. We find that within the adiabatic regime the average current oscillates as a function of the geometric flux which is related to the Berry phase.