Revisiting Thouless conductance formula
Condensed Matter
2008-02-03 v3
Abstract
It was shown using perturbation theory[1] that Thouless energy Ec for a quantum system scales linearly with the conductance of the system. We derive in an alternate way in 1-D that Ec scales with the conductance in a very different way. We physically show the difference between our approach and that of ref. 1 to expect our results to hold in higher dimensions also. We verify our results with exact numerical calculations.
Cite
@article{arxiv.cond-mat/9506089,
title = {Revisiting Thouless conductance formula},
author = {P. Singha Deo},
journal= {arXiv preprint arXiv:cond-mat/9506089},
year = {2008}
}
Comments
This version contains an extra result. Two figures available on request