A mathematical account of the NEGF formalism
Résumé
The main goal of this paper is to put on solid mathematical grounds the so-called Non-Equilibrium
Green's Function (NEGF) transport formalism for open systems. In particular, we derive
the Jauho-Meir-Wingreen formula for the time-dependent current through an interacting sample
coupled to non-interacting leads. Our proof is non-perturbative and uses neither complex-time Keldysh
contours, nor Langreth rules of 'analytic continuation'. We also discuss other technical identities (Langreth,
Keldysh) involving various many body Green's functions. Finally, we study the Dyson equation
for the advanced/retarded interacting Green's function and we rigorously construct its (irreducible)
self-energy, using the theory of Volterra operators.
Origine : Fichiers produits par l'(les) auteur(s)
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