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arXiv · 2110.02859

Memory Function Representation for the Electrical Conductivity of Solids

Brett R. Green·Maria Troppenz·Santiago Rigamonti·Claudia Draxl·Jorge O. Sofo
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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.

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Brett R. Green, Maria Troppenz, Santiago Rigamonti, Claudia Draxl, Jorge O. Sofo. 2021-10-06. Memory Function Representation for the Electrical Conductivity of Solids. https://arxiv.org/abs/2110.02859

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