An angular frequency dependence on the Aharonov-Casher geometric phase

TL;DR

This paper investigates how the angular frequency of a neutral particle in a quantum ring depends on the Aharonov-Casher geometric phase and explores the emergence of persistent spin currents influenced by this phase.

Contribution

It introduces the dependence of angular frequency on the Aharonov-Casher phase and demonstrates the generation of persistent spin currents in a quantum ring with Coulomb potential.

Findings

Angular frequency depends on quantum numbers and the geometric phase.

Persistent spin currents can arise due to this phase dependence.

The phase influences the magnitude of spin currents.

Abstract

A quantum effect characterized by a dependence of the angular frequency associated with the confinement of a neutral particle to a quantum ring on the quantum numbers of the system and the Aharonov-Casher geometric phase is discussed. Then, it is shown that persistent spin currents can arise in a two-dimensional quantum ring in the presence of a Coulomb-type potential. A particular contribution to the persistent spin currents arises from the dependence of the angular frequency on the geometric quantum phase.