Topological aspect of disclinations in two-dimensional melting

TL;DR

This paper investigates the topological structures and dynamics of disclinations during two-dimensional melting using topological current theory and elasticity theory, revealing conditions for defect interactions.

Contribution

It introduces a topological current framework to analyze disclination behavior and provides branch conditions for defect interactions in 2D melting.

Findings

Topological currents describe disclination structures.

Conditions for defect generation and annihilation are established.

Disclination evolution during melting is characterized.

Abstract

By using topological current theory, we study the inner topological structure of disclinations during the melting of two-dimensional systems. From two-dimensional elasticity theory, it is found topological currents for topological defects in homogeneous equation. The evolution of disclinations is studied, and the branch conditions for generating, annihilating, crossing, splitting, and merging of disclinations are given.