Complete collisions approximation to the Kadanoff-Baym equation: a first--principles implementation

TL;DR

This paper presents a first-principles implementation of the Kadanoff-Baym equations with a complete collision approximation to model carrier dynamics in bulk Silicon on sub-pico-second timescales.

Contribution

It introduces a novel first-principles approach to simulate carrier dynamics using the Kadanoff-Baym equations with a complete collision approximation.

Findings

Carrier dynamics in bulk Silicon are accurately modeled.

The scattering term resembles that of the semi-classical Boltzmann equation.

First-principles implementation enables detailed temporal analysis.

Abstract

We show carriers dynamics on bulk Silicon in the sub pico-second time scale. The results are obtained from a first-principles implementation of the the Kadanoff-Baym equations within the generalized Baym-Kadanoff ansatz and the complete collision approximation. The resulting scattering term is similar to the scattering described within the semi-classical Boltzmann equation.