The self-energy of a charged particle in the presence of a topological defect distribution

TL;DR

This paper investigates the self-energy of a charged particle influenced by continuous distributions of topological defects, specifically disclinations and edge dislocations, using the geometrical theory of defects.

Contribution

It provides a novel analysis of self-energy in the presence of continuous defect distributions within the geometrical theory of defects framework.

Findings

Self-energy calculated for a charge near defect distributions

Results match single defect self-energy outside the distribution

Analysis applies to both disclinations and dislocations

Abstract

In this work we study a charged particle in the presence of both a continuous distribution of disclinations and a continuous distribution of edge dislocations in the framework of the geometrical theory of defects. We obtain the self-energy for a single charge both in the internal and external regions of either distribution. For both distributions the result outside the defect distribution is the self-energy that a single charge experiments in the presence of a single defect.