Low-frequency electromagnetic field in a Wigner crystal

TL;DR

This paper models low-frequency electromagnetic oscillations in a Wigner crystal, deriving wave velocities and eigenmodes using a generalized continuum approach that accounts for electromagnetic self-consistency.

Contribution

It introduces a generalized reverse continuum model for electronic lattices to describe collective oscillations in Wigner crystals, including electromagnetic effects.

Findings

Eigenvectors and eigenvalues of oscillation modes derived

Velocities of longitudinal and transverse sound waves calculated

Electromagnetic self-consistency incorporated into the model

Abstract

Long-wave low-frequency oscillations are described in a Wigner crystal by generalization of the reverse continuum model for the case of electronic lattice. The internal self-consistent long-wave electromagnetic field is used to describe the collective motions in the system. The eigenvectors and eigenvalues of the obtained system of equations are derived. The velocities of longitudinal and transversal sound waves are found.