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arXiv · 1303.6201

Time-dependent Landauer-B\"uttiker formula for transient dynamics

Riku Tuovinen·Robert van Leeuwen·Enrico Perfetto·Gianluca Stefanucci
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Abstract

We solve analytically the Kadanoff-Baym equations for a noninteracting junction connected to an arbitrary number of noninteracting wide-band terminals. The initial equilibrium state is properly described by the addition of an imaginary track to the time contour. From the solution we obtain the time-dependent electron densities and currents within the junction. The final results are analytic expressions as a function of time, and therefore no time propagation is needed - either in transient or in steady-state regimes. We further present and discuss some applications of the obtained formulae.

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Riku Tuovinen, Robert van Leeuwen, Enrico Perfetto, Gianluca Stefanucci. 2013-03-25. Time-dependent Landauer-B\"uttiker formula for transient dynamics. https://doi.org/10.1088/1742-6596/427/1/012014

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