Lifshitz tails on the Bethe lattice: a combinatorial approach

Details Lifshitz tails on the Bethe lattice: a combinatorial approach Lifshitz tails on the Bethe lattice: a combinatorial approach

2011-04-29

arxiv.org/abs/1104.5637v2

J. Stat. Phys. 145, 51 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

32 pages, 10 figures; improved results on the asymptotic behavior of the integrated density of states

Scientific paper

10.1007/s10955-011-0319-3

The density of states of disordered hopping models generically exhibits an essential singularity around the edges of its support, known as a Lifshitz tail. We study this phenomenon on the Bethe lattice, i.e. for the large-size limit of random regular graphs, converging locally to the infinite regular tree, for both diagonal and off-diagonal disorder. The exponential growth of the volume and surface of balls on these lattices is an obstacle for the techniques used to characterize the Lifshitz tails in the finite-dimensional case. We circumvent this difficulty by computing bounds on the moments of the density of states, and by deriving their implications on the behavior of the integrated density of states.

Affiliated with

Also associated with

No associations

Rating

Lifshitz tails on the Bethe lattice: a combinatorial approach 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 Lifshitz tails on the Bethe lattice: a combinatorial approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lifshitz tails on the Bethe lattice: a combinatorial approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17904