An introduction to the polaron and bipolaron theoretical concepts

TL;DR

This paper introduces a simple theoretical model explaining how charged particles can become localized in dielectric materials, forming polarons and bipolarons, serving as an educational foundation for understanding autolocalized states.

Contribution

It presents an accessible, simplified model for autolocalization, highlighting the formation of polarons and bipolarons in dielectric materials with large dielectric constants.

Findings

Single localized level in the model

Bipolaron formation in polarization wells

Model serves as an educational introduction

Abstract

A simple model for the autolocalization of a free charged particle is presented. The polarization well in the model is deep enough for only one localized level. In dielectric materials with a sufficiently large dielectric constant, two charged identical particles can be localized in one polarization potential well, forming a bipolaron. Although several localized levels can be found in more realistic self-consistent models of this type, the more realistic theories require a high level of knowledge of mathematics. Hence, the proposed model can serve as an introduction to the ideas and concepts of autolocalized states.