Quasiparticle transport equation with collision delay. II. Microscopic Theory

TL;DR

This paper derives a modified Boltzmann equation for non-interacting electrons with impurity scattering, incorporating quasiparticle and virial corrections through a microscopic Green's function approach.

Contribution

It introduces a microscopic derivation of a quasiparticle transport equation with gradient and virial corrections, extending traditional Boltzmann theory.

Findings

Derived a modified Boltzmann equation including virial corrections.

Rearranged gradient corrections into virial correction form.

Applicable to systems with weak impurity scattering.

Abstract

For a system of non-interacting electrons scattered by neutral impurities, we derive a modified Boltzmann equation that includes quasiparticle and virial corrections. We start from quasiclassical transport equation for non-equilibrium Green's functions and apply limit of small scattering rates. Resulting transport equation for quasiparticles has gradient corrections to scattering integrals. These gradient corrections are rearranged into a form characteristic for virial corrections.