Magneto-polarisability of mesoscopic rings

TL;DR

This paper investigates the magneto-polarisability of mesoscopic rings, analyzing how flux, disorder, and geometry influence their electromagnetic response, with implications for experimental observations.

Contribution

It provides a self-consistent calculation of polarisability in mesoscopic rings considering flux, disorder, and geometry effects, highlighting conditions favorable for observing flux dependence.

Findings

Flux-dependent polarisability is more observable in rings than in disks or spheres.

Geometrical effects significantly enhance field-dependent responses.

Estimated flux-dependent ratios for GaAs rings suggest measurable effects.

Abstract

We calculate the average polarisability of two dimensional mesoscopic rings in the presence of an Aharonov-Bohm flux. The screening is taken into account self-consistently within a mean-field approximation. We investigate the effects of statistical ensemble, finite frequency and disorder. We emphasize geometrical effects which make the observation of field dependent polarisability much more favourable on rings than on disks or spheres of comparable radius. The ratio of the flux dependent to the flux independent part is estimated for typical GaAs rings.