Weak coupling approximations in non-Markovian Transport

Details Weak coupling approximations in non-Markovian Transport Weak coupling approximations in non-Markovian Transport

2009-02-12

arxiv.org/abs/0902.2118v2

Physical Review B 80, 045309, (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 6 figures; due to suggestions of a referee we have added an appendix where our kernel is derived in detail; a few typ

Scientific paper

10.1103/PhysRevB.80.045309

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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