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 - Jul 2019

Keywords

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

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