A partition-free approach to transient and steady-state charge currents
Résumé
We construct a non-equilibrium steady state and calculate the corresponding current for a mesoscopic Fermi system in the \textit{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.
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