Aharonov-Bohm Effect and Disclinations in an Elastic Medium

TL;DR

This paper explores the Aharonov-Bohm effect for quasiparticles in elastic media with defects, revealing a gravitational-like effect using geometric defect theory and parallel transport analysis.

Contribution

It introduces a geometric approach to study the Aharonov-Bohm effect in elastic media with disclinations, extending understanding of defect-induced quantum phenomena.

Findings

Demonstrates Aharonov-Bohm-like effect in elastic media with defects

Analyzes effects for multiple defects

Uses geometric theory and parallel transport methods

Abstract

In this work we investigate quasiparticles in the background of defects in solids using the geometric theory of defects. We use the parallel transport matrix to study the Aharonov-Bohm effect in this background. For quasiparticles moving in this effective medium we demonstrate an effect similar to the gravitational Aharonov- Bohm effect. We analyze this effect in an elastic medium with one and $N$ defects.