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Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport

P. Bokes
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Abstract

In this short paper we first give a very simple derivation of the Landauer formula for a 2-point conductance of QJ $G^{2P}$, based on the uncertainty principle. The aim of this is to introduce this central equation of quantum transport to a general audience. Next we analyse the dynamics of setting up a steady-state current in a simple many-electron system and use these observations to present physical basis and formal result for the 4-point conductance $G^{4P}$, rigorously related to the non-local conductivity of an extended system consisting of electrodes and their junction.

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P. Bokes. 2006-08-28. Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport. https://arxiv.org/abs/cond-mat/0608600

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