Coherence of Currents in Mesoscopic Cylinders

TL;DR

This paper investigates the coherence and enhancement of persistent currents in mesoscopic cylinders influenced by magnetic fields, predicting spontaneous currents under specific geometric conditions of the Fermi surface.

Contribution

It introduces a generalized analysis of persistent currents in 2D and 3D mesoscopic cylinders, predicting spontaneous currents based on Fermi surface geometry.

Findings

Conditions for current coherence and enhancement identified

Spontaneous currents predicted in 3D cylinders under certain conditions

Results extend understanding of mesoscopic quantum effects

Abstract

The persistent currents driven by the pure Aharonov-Bohm type magnetic field in mesoscopic normal metal or semiconducting cylinders are studied. A two-dimensional (2D) Fermi surfaces are characterized by four parameters. Several conditions for the coherence and enhancement of currents are discussed. These results are then generalized to a three-dimensional (3D) thin-walled cylinder to show that under certain geometric conditions on the Fermi surface, a novel effect - the appearance of spontaneous currents is predicted.