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arXiv · 1901.07863

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

H. D. Cornean·V. Moldoveanu·C. -A. Pillet
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Abstract

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.

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H. D. Cornean, V. Moldoveanu, C. -A. Pillet. 2019-01-23. A Dyson equation for non-equilibrium Green's functions in the partition-free setting. https://doi.org/10.1002/pssb.201800447

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