Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges

Details Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges

2011-11-07

arxiv.org/abs/1111.1505v1

Physics

Mathematical Physics

Scientific paper

We consider the discrete Anderson model and prove enhanced Wegner and Minami estimates where the interval length is replaced by the IDS computed on the interval. We use these estimates to improve on the description of finite volume eigenvalues and eigenfunctions obtained in a previous paper. As a consequence of the improved description of eigenvalues and eigenfunctions, we revisit a number of results on the spectral statistics in the localized regime and extend their domain of validity, namely : - the local spectral statistics for the unfolded eigenvalues; - the local asymptotic ergodicity of the unfolded eigenvalues; In dimension 1, for the standard Anderson model, the improvement enables us to obtain the local spectral statistics at band edge, that is in the Lifshitz tail regime. In higher dimensions, this works for modified Anderson models.

Affiliated with

Also associated with

No associations

Rating

Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges 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 Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690093