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

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

2010-05-21

arxiv.org/abs/1005.3914v1

J. Phys. A: Math. Theor. 43, 474011 (2010)

Physics

Mathematical Physics

14 pages, submitted

Scientific paper

10.1088/1751-8113/43/47/474011

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.

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