Effective Maxwell equations from time-dependent density functional theory

TL;DR

This paper derives effective macroscopic Maxwell equations from time-dependent density functional theory, providing a theoretical framework to understand how microscopic electron interactions influence macroscopic electromagnetic properties in crystals.

Contribution

It introduces a method to derive effective Maxwell equations directly from time-dependent density functional theory, linking microscopic electron behavior to macroscopic electromagnetic response.

Findings

Derived effective permittivity and permeability coefficients.

Established a theoretical connection between microscopic electron interactions and macroscopic fields.

Provided a framework for analyzing electromagnetic behavior in crystalline materials.

Abstract

The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived starting from time-dependent density functional theory. Effective permittivity and permeability coefficients are obtained.