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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2010

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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Dates et versions

hal-00494026 , version 1 (22-06-2010)

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Horia Decebal Cornean, Céline Gianesello, Valentin A. Zagrebnov. A partition-free approach to transient and steady-state charge currents. Journal of Physics A: Mathematical and Theoretical, 2010, 43 (47), pp.474011. ⟨10.1088/1751-8113/43/47/474011⟩. ⟨hal-00494026⟩
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