Persistent currents in mesoscopic cavities and the effect of level crossings as random variables

TL;DR

This paper investigates how level crossings in the energy spectrum of 2D mesoscopic cavities influence persistent currents, combining analytical and numerical methods to understand their statistical effects.

Contribution

It introduces a detailed analysis of the impact of level crossing distributions on persistent currents in mesoscopic systems with many open channels.

Findings

Level crossings significantly affect the magnitude of persistent currents.

The distribution of level crossings can be statistically characterized.

Persistent currents exhibit fluctuations correlated with level crossing behavior.

Abstract

In the present article we perform analytical and numerical calculations related to persistent currents in 2D isolated mesoscopic annular cavities threaded by a magnetic flux. The system considered has a high number of open channels and therefore the single particle spectrum exhibits many level crossings as the flux varies. We determine the effect of the distribution of level crossings in the typical persistent current.