Self-consistent electron counting statistics

Abstract

We develop a self-consistent version of perturbation theory in Liouville space which seeksto combine the advantages of master equation approaches in quantum transport with thenonperturbative features that a self-consistent treatment brings. We describe how countingfields may be included in a self-consistent manner in this formalism such that the fullcounting statistics can be calculated. Non-Markovian effects are also incorporated. Severaldifferent self-consistent approximations are introduced and we discuss their relativestrengths with a simple example.