Statistics of Transmission Eigenvalues for a Disordered Quantum Point Contact
Mesoscale and Nanoscale Physics
2009-11-10 v1
Abstract
We study the distribution of transmission eigenvalues of a quantum point contact with nearby impurities. In the semi-classical case (the chemical potential lies at the conductance plateau) we find that the transmission properties of this system are obtained from the ensemble of Gaussian random reflection matrices. The distribution only depends on the number of open transport channels and the average reflection eigenvalue and crosses over from the Poissonian for one open channel to the form predicted by the circuit theory in the limit of large number of open channels.
Cite
@article{arxiv.cond-mat/0401058,
title = {Statistics of Transmission Eigenvalues for a Disordered Quantum Point Contact},
author = {G. Campagnano and O. N. Jouravlev and Ya. M. Blanter and Yu. V. Nazarov},
journal= {arXiv preprint arXiv:cond-mat/0401058},
year = {2009}
}
Comments
8 pages, 3 figures