arXiv · 0902.2118
Weak coupling approximations in non-Markovian Transport
Abstract
We study the transport properties of the Fano-Anderson model with a Lorentzian-shaped density of states in one of the electronic reservoirs. We explicitly show that the energy dependence of the density of states can cause non-Markovian effects and that the non-Markovian master equation may fail if these effects are strong. We evaluate the stationary current, the zero frequency current noise and the occupation dynamics of the resonant level by means of a quantum master equation approach within different approximation schemes and compare the results to the exact solution obtained by scattering theory and Green's functions.
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Philipp Zedler, Gernot Schaller, Gerold Kießlich, Clive Emary, Tobias Brandes. 2009-09-17. Weak coupling approximations in non-Markovian Transport. https://doi.org/10.1103/physrevb.80.045309
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