Generalized Fokker-Planck Equation For Multichannel Disordered Quantum Conductors
Disordered Systems and Neural Networks
2009-10-31 v2 Mesoscale and Nanoscale Physics
Abstract
The Dorokhov-Mello-Pereyra-Kumar (DMPK) equation, which describes the distribution of transmission eigenvalues of multichannel disordered conductors, has been enormously successful in describing a variety of detailed transport properties of mesoscopic wires. However, it is limited to the regime of quasi one dimension only. We derive a one parameter generalization of the DMPK equation, which should broaden the scope of the equation beyond the limit of quasi one dimension.
Cite
@article{arxiv.cond-mat/9812306,
title = {Generalized Fokker-Planck Equation For Multichannel Disordered Quantum Conductors},
author = {K. A. Muttalib and J. R. Klauder},
journal= {arXiv preprint arXiv:cond-mat/9812306},
year = {2009}
}
Comments
8 pages, abstract, introduction and summary rewritten for broader readership. To be published in Phys. Rev. Lett