Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport

Details Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport

2006-08-28

arxiv.org/abs/cond-mat/0608600v1

Physics

Condensed Matter

Materials Science

Presented at the 15th Conference of the Slovak Physical Society

Scientific paper

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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