Conductance for the two dimensional discrete random Schroedinger operator with small disorder
Mathematical Physics
2012-07-17 v1 math.MP
Abstract
As part of condensed-matter physics, the field of Anderson localization concerns the study of conductance of electrons in a random medium. We summarize and explain the results obtained in "A new numerical approach to Anderson (de)localization" from a physics perspective. Further, we discover a relationship with the so-called Thouless criterion - a dimensionless scaling parameter often used as the sole indicator whether or not the system exhibits Anderson localization.
Cite
@article{arxiv.1207.3476,
title = {Conductance for the two dimensional discrete random Schroedinger operator with small disorder},
author = {Constanze Liaw},
journal= {arXiv preprint arXiv:1207.3476},
year = {2012}
}
Comments
5 pages, 2 figures