Missing Aharonov-Casher geometric quantum phase

TL;DR

This paper investigates a geometric quantum phase arising from the interaction of a magnetic dipole with an electric field, exploring its relation to Aharonov-Bohm effects and persistent spin currents.

Contribution

It introduces a new geometric quantum phase linked to missing electric charge and discusses its potential connection to Aharonov-Bohm-type effects and spin currents.

Findings

A geometric quantum phase originates from missing electric charge per unit length.

Potential existence of Aharonov-Bohm-type effects related to this phase.

Discussion of persistent spin currents associated with the phase.

Abstract

From the interaction of the permanent magnetic dipole moment of a neutral particle with an electric field inside a long non-conducting cylindrical shell of inner radius $r_{a}$ and outer radius $r_{b}$, we show that a geometric quantum phase stems from the missing electric charge per unit length. Thus, we discuss the possibility of existing Aharonov-Bohm-type effects with regard to this geometric quantum phase. Further, we discuss the persistent spin currents.