Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport

P. Bokes

Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport

Materials Science 2007-05-23 v1 Mesoscale and Nanoscale Physics

Authors: P. Bokes

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.

Keywords

Landauer formula quantum transport conductance ab-initio modeling non-local conductivity steady-state current

Cite

@article{arxiv.cond-mat/0608600,
  title  = {Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport},
  author = {P. Bokes},
  journal= {arXiv preprint arXiv:cond-mat/0608600},
  year   = {2007}
}

Comments

Presented at the 15th Conference of the Slovak Physical Society

Dynamics of Electrons and Ab-Initio Modeling of Quantum Transport

Abstract

Keywords

Cite

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