Persistent spin currents in an elastic Landau system

TL;DR

This paper investigates how a uniform distribution of screw dislocations in an elastic medium influences the energy spectrum and induces persistent spin currents in a neutral particle with a magnetic dipole moment, revealing a geometric phase dependence.

Contribution

It introduces a novel elastic Landau system where dislocations mimic magnetic fields and explores the resulting persistent spin currents linked to the Aharonov-Casher phase.

Findings

Dislocations act as an effective magnetic field in the system.

Energy levels depend on the Aharonov-Casher geometric phase.

Persistent spin currents are derived from the phase dependence.

Abstract

We consider a neutral particle with permanent magnetic dipole moment in an elastic medium with the presence of a uniform distribution of screw dislocations interacting with a radial electric field. We show that the uniform distribution of dislocations plays the role of an effective uniform magnetic field, and obtain a spectrum of energy which depends on the Aharonov-Casher geometric phase [Y. Aharonov and A. Casher, Phys. Rev. Lett. 53, 319 (1984)]. Moreover, from the dependence of energy levels on the Aharonov-Casher geometric phase, we calculate the persistent spin currents in this elastic Landau system.