Landauer Conductance without Two Chemical Potentials
Mesoscale and Nanoscale Physics
2009-11-07 v1
Abstract
We present a theory of the four--terminal conductance for the multi-channel tunneling barrier, which is based on the self-consistent solution of Shrodinger, Poisson and continuity equations. We derive new results for the case of a barrier embedded in a long wire with and without disorder. We also recover known expressions for the conductance of the barrier placed into a ballistic constriction. Our approach avoids a problematic use of two chemical potentials in the same system.
Keywords
Cite
@article{arxiv.cond-mat/0103488,
title = {Landauer Conductance without Two Chemical Potentials},
author = {Alex Kamenev and Walter Kohn},
journal= {arXiv preprint arXiv:cond-mat/0103488},
year = {2009}
}
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12 pages