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

作者:Cornean Horia D*; Gianesello Celine; Zagrebnov Valentin
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(47): 474011.
DOI:10.1088/1751-8113/43/47/474011

摘要

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.

  • 出版日期2010-11-26