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.
- Quantum transport
- partition free states
- Green functions
- Dyson equation
Cornean, D. H., Moldoveanu, V., & Pillet, C. A. (2019). A Dyson Equation for Non-Equilibrium Green's Functions in the Partition-Free Setting. IPPS physica status solidi (b), 256(7), . https://doi.org/10.1002/pssb.201800447