Time-dependent Landauer-Büttiker formula for transient dynamics
Tuovinen, R., van Leeuwen, R., Perfetto, E., & Stefanucci, G. (2013). Time-dependent Landauer-Büttiker formula for transient dynamics. In Progress in Nonequilibrium Green's Functions V (PNGF V), 27–31 August 2012, Jyväskylä, Finland (pp. 012014). Journal of Physics: Conference Series (427). Bristol: Institute of Physics. doi:10.1088/1742-6596/427/1/012014
Published inJournal of Physics: Conference Series;427
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We solve analyti ally the Kadano Baym equations for a nonintera ting jun tion onne ted to an arbitrary number of nonintera ting wide-band terminals. The initial equilibrium state is properly des ribed by the addition of an imaginary tra k to the time ontour. From the solution we obtain the time-dependent ele tron densities and urrents within the jun tion. The nal results are analyti expressions as a fun tion of time, and therefore no time propagation is needed either in transient or in steady-state regimes. We further present and dis uss some appli ations of the obtained formulae.