On the missing magnetic flux and topological effects of a screw dislocation on a charged particle in an inhomogeneous magnetic field

TL;DR

This paper investigates how a screw dislocation in an inhomogeneous magnetic field affects a charged particle, revealing a topological Aharonov-Bohm effect caused by missing magnetic flux and defect structure.

Contribution

It introduces a model considering the defect's core as a forbidden region and demonstrates the resulting topological effects on energy eigenvalues.

Findings

Aharonov-Bohm-type effect due to screw dislocation

Influence of missing magnetic flux on eigenvalues

Role of defect core in quantum behavior

Abstract

We study the interaction of an electron/hole with inhomogeneous magnetic field in the presence of a screw dislocation. We consider the internal structure of the defect, i.e., we consider the core that gives rise to a finite size to the defect. In addition, we assume that this core determines a forbidden region for the electron/hole. Then, we solve the Schr\"odinger equation and show that an Aharonov-Bohm-type effect arises from the influence of the topological defect and the missing magnetic flux on the eigenvalues of energy.