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

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.

To appear in Physica Status Solidi B as part of the Proceedings of "Progresses in NonEquilibrium Green's Functions VII"

References in corpus (4)

• Dissipative Transport: Thermal Contacts and Tunnelling Junctions
• Luttinger-field approach to thermoelectric transport in nanoscale conductors
• Towards a nonequilibrium Green's function description of nuclear reactions: one-dimensional mean-field dynamics
• A mathematical account of the NEGF formalism

Cited by in corpus (1)

• A many-body approach to transport in quantum systems: From the transient regime to the stationary state