A Dyson equation for non-equilibrium Green's functions in the partition-free setting

Horia Decebal Cornean (1) , Valeriu Moldoveanu (2) , Claude-Alain Pillet (3, 4)

1 Institut de Mathematiques
2 NIMP - National Institute of Materials Physics
3 CPT - Centre de Physique Théorique - UMR 7332
4 CPT - E8 Dynamique quantique et analyse spectrale

We consider a small interacting sample coupled to several non-interacting leads. Initially, the system is at thermal equilibrium. At some instant t 0 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.

Domaines: Physique mathématique [math-ph]

Horia Decebal Cornean, Valeriu Moldoveanu, Claude-Alain Pillet. A Dyson equation for non-equilibrium Green's functions in the partition-free setting. physica status solidi (b), 2019, 256 (7), pp.1800447. ⟨10.1002/pssb.201800447⟩. ⟨hal-01991833⟩