A partition-free approach to transient and steady-state charge currents

Abstract

We construct a non-equilibrium steady state and calculate the corresponding current for a mesoscopic Fermi system in the partition-free setting. To this end we study a small sample coupled to a finite number of semi-infinite leads. Initially, the whole system of quasi-free fermions is in a grand canonical equilibrium state. At t = 0 we turn on a potential bias on the leads and let the system evolve. We study how the charge current behaves in time and how it stabilizes itself around a steady state value, which is given by a Landauer-type formula.

14 pages, submitted

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• From Bloch Oscillations to a Steady-State Current in Strongly Biased Mesoscopic Devices
• Memory effects in non-interacting mesoscopic transport
• Birth and Early Growth of Entanglement by sd Exchange with Gate-Voltage-Controllable Destiny
• Quantization of Conductance in Quasi-Periodic Quantum Wires
• On the self-consistent Landauer-Büttiker formalism