A Dyson Equation for Non-Equilibrium Green's Functions in the Partition-Free Setting

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Abstract

Here a small interacting sample, coupled to several non‐interacting leads is considered. Initially, the system is at thermal equilibrium. At some instant t0 the system is set into the so‐called partition‐free transport scenario by turning on a bias on the leads. Using the theory of Volterra operators we rigorously formulate a Dyson equation for the retarded Green's function and we establish a closed formula for the associated proper interaction self‐energy.
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Here a small interacting sample, coupled to several non‐interacting leads is considered. Initially, the system is at thermal equilibrium. At some instant t0 the system is set into the so‐called partition‐free transport scenario by turning on a bias on the leads. Using the theory of Volterra operators we rigorously formulate a Dyson equation for the retarded Green's function and we establish a closed formula for the associated proper interaction self‐energy.
Original languageEnglish
JournalIPPS physica status solidi (b)
Number of pages6
ISSN0370-1972
DOI
Publication statusE-pub ahead of print - 2019
Publication categoryResearch
Peer-reviewedYes
ID: 294757486