Persistent currents in Moebius strips

TL;DR

This paper investigates how the unique geometry of a Moebius strip affects the persistent currents of non-interacting electrons, highlighting differences from cylindrical samples and emphasizing the role of disorder in experimental detection.

Contribution

It derives the dispersion relation for electrons on a Moebius strip and analyzes the impact of disorder on persistent currents, revealing distinct flux periodicity.

Findings

Flux periodicity differs from cylindrical samples.

Disorder plays a crucial role in experimental identification.

Persistent currents are affected by the Moebius geometry.

Abstract

Relation between the geometry of a two-dimensional sample and its equilibrium physical properties is exemplified here for a system of non-interacting electrons on a Moebius strip. Dispersion relation for a clean sample is derived and its persistent current under moderate disorder is elucidated, using statistical analysis pertinent to a single sample experiment. The flux periodicity is found to be distinct from that in a cylindrical sample, and the essential role of disorder in the ability to experimentally identify a Moebius strip is pointed out.