Self-consistent electron counting statistics

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.

11 pages, 2 figures

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Cited by in corpus (8)

• Vibrational cooling, heating, and instability in molecular conducting junctions: Full counting statistics analysis
• Electron Waiting Times in Non-Markovian Quantum Transport
• Non-Markovian effects in the Quantum noise of interacting nanostructures
• Quantum versus classical counting in nonMarkovian master equations
• A diagrammatic description of the equations of motion, current, and noise within the second-order von Neumann approach
• Tunable photonic cavity coupled to a voltage-biased double quantum dot system: Diagrammatic NEGF approach
• The connection between time-local and time-nonlocal perturbation expansions
• Noise calculations within the second-order von Neumann approach