Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime
Disordered Systems and Neural Networks
2010-07-09 v1
Abstract
We develop a systematic perturbative method to obtain analytic solution of the Generalized Dorokhov-Mello-Pereyra-Kumar (DMPK) equation in the strongly disordered regime which describes the evolution of the joint probability distribution of the transmission eigenvalues with system size. The solution allows us to obtain the distribution of conductance analytically in the insulating regime. Our results are consistent with existing numerical simulations of the three dimensional tight binding Anderson model, and suggests a possible description of the Anderson transition in the presence of a very broad, highly asymmetric conductance distribution.
Keywords
Cite
@article{arxiv.1007.1438,
title = {Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime},
author = {Andrew Douglas Khandker Muttalib},
journal= {arXiv preprint arXiv:1007.1438},
year = {2010}
}