# On an electron in an elastic medium with a spiral dislocation

## TL;DR

This paper explores how a spiral dislocation's topology affects an electron's quantum states in an elastic medium, revealing discrete energy spectra and an Aharonov-Bohm-like effect for bound states.

## Contribution

It introduces the analysis of topological effects of spiral dislocations on electrons, including energy spectra and novel quantum phenomena in confined systems.

## Key findings

- Discrete energy spectra are obtained in various configurations.
- A topological Aharonov-Bohm-like effect for bound states is demonstrated.
- The topology influences electron interactions with electric and magnetic fields.

## Abstract

Topological effects of a spiral dislocation on an electron are investigated when it is confined to a hard-wall confining potential. Besides, it is analysed the influence of the topology of the spiral dislocation on the interaction of the electron with a non-uniform radial electric field and a uniform axial magnetic field. It is shown that a discrete spectrum of energy can be obtained in all these cases. Moreover, it is shown that there is one case where an analogue of the Aharonov-Bohm effect for bound states is yielded by the topology of the spiral dislocation.