Topological defects in two-dimensional crystals

TL;DR

This paper uses topological current theory to analyze the structure and evolution of defects in 2D crystals, identifying elementary defects and comparing theoretical predictions with simulations.

Contribution

It introduces a topological current framework to characterize and quantify defects in 2D crystals, distinguishing dislocations and disclinations.

Findings

Identification of two elementary topological point defects

Topological quantization of defect structures

Agreement between theory and Brownian-dynamics simulations

Abstract

By using topological current theory, we study the inner topological structure of the topological defects in two-dimensional (2D) crystal. We find that there are two elementary point defects topological current in two-dimensional crystal, one for dislocations and the other for disclinations. The topological quantization and evolution of topological defects in two-dimensional crystals are discussed. Finally, We compare our theory with Brownian-dynamics simulations in 2D Yukawa systems.