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 journalJournal articleResearchpeer-review

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 languageEnglish
Article number1800447
JournalIPPS physica status solidi (b)
Volume256
Issue number7
Number of pages6
ISSN0370-1972
DOIs
Publication statusPublished - 2019

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Green's function
partitions
Green's functions
operators
interactions
Hot Temperature

Keywords

  • Quantum transport

Cite this

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title = "A Dyson Equation for Non-Equilibrium Green's Functions in the Partition-Free Setting",
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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A Dyson Equation for Non-Equilibrium Green's Functions in the Partition-Free Setting. / Cornean, Decebal Horia; Moldoveanu, Valeriu; Pillet, Claude A.

In: IPPS physica status solidi (b), Vol. 256, No. 7, 1800447, 2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A Dyson Equation for Non-Equilibrium Green's Functions in the Partition-Free Setting

AU - Cornean, Decebal Horia

AU - Moldoveanu, Valeriu

AU - Pillet, Claude A.

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Quantum transport

U2 - 10.1002/pssb.201800447

DO - 10.1002/pssb.201800447

M3 - Journal article

VL - 256

JO - IPPS physica status solidi (b)

JF - IPPS physica status solidi (b)

SN - 0370-1972

IS - 7

M1 - 1800447

ER -