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

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.