On the steady state correlation functions of open interacting systems

Abstract

We address the existence of steady state Green-Keldysh correlation functions of interacting fermions in mesoscopic systems for both the partitioning and partition-free scenarios. Under some spectral assumptions on the non-interacting model and for sufficiently small interaction strength, we show that the system evolves to a NESS which does not depend on the profile of the time-dependent coupling strength/bias. For the partitioned setting we also show that the steady state is independent of the initial state of the inner sample. Closed formulae for the NESS two-point correlation functions (Green-Keldysh functions), in the form of a convergent expansion, are derived. In the partitioning approach, we show that the 0th order term in the interaction strength of the charge current leads to the Landauer-Buettiker formula, while the 1st order correction contains the mean-field (Hartree-Fock) results.

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Cited by in corpus (14)

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• Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
• Nonequilibrium density matrix for simultaneous heat and charge steady-state transport in quantum open systems
• Microscopic Conductivity of Lattice Fermions at Equilibrium - Part I: Non-Interacting Particles
• Landauer transport as a quasisteady state on finite chains under unitary quantum dynamics
• An exactly solvable model of calorimetric measurements
• A mathematical account of the NEGF formalism
• Non-equilibrium current cumulants and moments with a point-like defect
• On the self-consistent Landauer-Büttiker formalism
• A Dyson equation for non-equilibrium Green's functions in the partition-free setting
• Thermal Ionization for Short-Range Potentials