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

Decebal Horia Cornean; Valeriu Moldoveanu; Claude A. Pillet

doi:10.1002/pssb.201800447

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

Decebal Horia Cornean, Valeriu Moldoveanu, Claude A. Pillet

Research output: Contribution to journal › Journal article › Research › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	1800447
Journal	IPPS physica status solidi (b)
Volume	256
Issue number	7
Number of pages	6
ISSN	0370-1972
DOIs	https://doi.org/10.1002/pssb.201800447
Publication status	Published - Jul 2019

Keywords

Quantum transport
partition free states
Green functions
Dyson equation
non-equilibrium

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10.1002/pssb.201800447

https://arxiv.org/pdf/1901.07863.pdf

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KW - Quantum transport

KW - partition free states

KW - Green functions

KW - Dyson equation

KW - non-equilibrium

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

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Keywords

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