Dispersion Relations for Dislocation Modes and their Sensitivity to the Lattice Structure

TL;DR

This paper investigates how the dispersion relations of dislocation modes in solids are affected by lattice symmetry, revealing different behaviors for isotropic and anisotropic lattices and their impact on dislocation tension.

Contribution

It demonstrates the sensitivity of dislon dispersion relations to lattice symmetries and distinguishes the renormalization group flows for different lattice types.

Findings

Dislon dispersion relation shows logarithmic dependence in isotropic lattices.

Linear term dominates in non-isotropic lattices.

Renormalization group flows differ between isotropic and anisotropic lattices.

Abstract

In this letter we show that the dispersion relation for the dynamical modes of dislocations ("dislons") in solids is sensitive to the lattice symmetries. In particular, we show that in the IR, the dislon dispersion relation develops a logarithmic dependence on momenta for approximately isotropic lattices whereas for non-isotropic lattices, the linear term dominates. The renormalization group flows for dislocation tension are shown to be distinct for isotropic and anisotropic lattices.