Propagation Scheme for Non-Equilibrium Dynamics of Electron Transport in Nanoscale Devices

Abstract

A closed set of coupled equations of motion for the description of time-dependent electron transport is derived. It provides the time evolution of energy-resolved quantities constructed from non-equilibrium Green functions. By means of an auxiliary-mode expansion a viable propagation scheme for finite temperatures is obtained, which allows to study arbitrary time dependences and structured reservoirs. Two illustrative examples are presented.

10 pages, 6 figures; v2: corrected some typos and replaced one duplicated graph

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