Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime

Details Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime

2010-07-08

arxiv.org/abs/1007.1438v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conductance distribution in three dimensions: analytic solution of the Generalized DMPK equation in the strongly disordered regime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-103560