Theory of nonlinear dc conductivity, longitudinal and transverse

TL;DR

This paper extends Kohn's many-body theory of Drude conductivity to nonlinear dc conductivities of any order, both longitudinal and transverse, and relates these results to band-structure and semiclassical theories.

Contribution

It introduces a comprehensive extension of Kohn's theory to nonlinear conductivities and reformulates it within a band-structure framework, clarifying its connection to semiclassical transport.

Findings

Extended Kohn's theory to arbitrary-order nonlinear conductivities

Reformulated results in a band-structure framework

Connected the theory to semiclassical nonlinear electron transport

Abstract

Kohn's theory of Drude conductivity, established in a many-body framework, addresses even systems with disorder and correlation, besides the ordinary band metals (i.e. crystalline systems of independent electrons). Kohn's theory is here extended to nonlinear dc conductivities of arbitrary order, longitudinal and transverse. The results are then reformulated in a band-structure framework, and their relationships to the semiclassical theory of nonlinear electron transport are elucidated.