From closed to open 1D Anderson model: Transport versus spectral statistics

Details From closed to open 1D Anderson model: Transport versus spectral statistics From closed to open 1D Anderson model: Transport versus spectral statistics

2011-07-12

arxiv.org/abs/1107.2371v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

We show that the transport properties of a one-dimensional Anderson model of finite size with weak disorder can be effectively expressed in terms of the repulsion parameter $ 0 < \beta < \infty $ in the level spacing distribution of eigenvalues of the corresponding closed system. This result stems from the detailed numerical analysis demonstrating that the normalized localization length of eigenstates is nothing but the parameter $\beta$. We give the analytical expressions for the mean transmission coefficient and its variance Var(T), as well as for for any value of $\beta$ and degree $\kappa$ of coupling to continuum. The numerical data fully correspond to the analytical predictions.

Affiliated with

Also associated with

No associations

Rating

From closed to open 1D Anderson model: Transport versus spectral statistics 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 From closed to open 1D Anderson model: Transport versus spectral statistics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From closed to open 1D Anderson model: Transport versus spectral statistics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-566011