Self-consistent electron counting statistics

TL;DR

This paper introduces a self-consistent perturbation theory in Liouville space for quantum transport, enabling calculation of full counting statistics with nonMarkovian effects and various approximation schemes.

Contribution

It presents a novel self-consistent approach that combines master equations with nonperturbative features for quantum transport analysis.

Findings

Incorporates counting fields into self-consistent formalism for full counting statistics.

Includes nonMarkovian effects in the perturbation theory.

Discusses strengths of different self-consistent approximations.

Abstract

We develop a self-consistent version of perturbation theory in Liouville space which seeks to combine the advantages of master equation approaches in quantum transport with the nonperturbative features that a self-consistent treatment brings. We describe how counting fields may be included in a self-consistent manner in this formalism such that the full counting statistics can be calculated. NonMarkovian effects are also incorporated. Several different self-consistent approximations are introduced and we discuss their relative strengths with a simple example.