Effective Maxwell equations from time-dependent density functional theory

2010/10/23 by E, Weinan, Lu, Jianfeng, Yang, Xu · 1 citation
#FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1010.4912

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.

Cited by

• The Semiclassical Limit of the 2D Dirac--Hartree Equation with Periodic Potentials

Related

• Effective models for conductance in magnetic fields: derivation of Harper and Hofstadter models
• Quantum body in uniform electric fields
• Non-linear response in extended systems: a real-time approach
• Local-energy density functionals for an N-dimensional electronic system in a magnetic field
• Kinetic equation from Landau level basis: Beyond relaxation-time approximation