Memory Function Representation for the Electrical Conductivity of Solids
Materials Science
2021-10-07 v1 Statistical Mechanics
Abstract
We derive a formula for the electrical conductivity of solids that includes relaxation, dissipation, and quantum coherence. The derivation is based on the Kubo formula, with a Mori memory function approach to include dissipation effects at all orders in the relaxation interaction. It offers a practical method to evaluate the conductivity with electronic-structure codes and avoids the complications and limitations of the Kubo formula in the thermodynamic limit. The derivation of our formula provides a method applicable to other transport coefficients and correlation functions.
Cite
@article{arxiv.2110.02859,
title = {Memory Function Representation for the Electrical Conductivity of Solids},
author = {Brett R. Green and Maria Troppenz and Santiago Rigamonti and Claudia Draxl and Jorge O. Sofo},
journal= {arXiv preprint arXiv:2110.02859},
year = {2021}
}