Anderson model on Bethe lattices: density of states, localization properties and isolated eigenvalue

Details Anderson model on Bethe lattices: density of states, localization properties and isolated eigenvalue Anderson model on Bethe lattices: density of states, localization properties and isolated eigenvalue

2010-05-03

arxiv.org/abs/1005.0342v2

Prog. Theor. Phys. Suppl. 184, 187 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

13 pages, 4 figures, Proceedings of the YKIS2009 conference, references added

Scientific paper

We revisit the Anderson localization problem on Bethe lattices, putting in contact various aspects which have been previously only discussed separately. For the case of connectivity 3 we compute by the cavity method the density of states and the evolution of the mobility edge with disorder. Furthermore, we show that below a certain critical value of the disorder the smallest eigenvalue remains delocalized and separated by all the others (localized) ones by a gap. We also study the evolution of the mobility edge at the center of the band with the connectivity, and discuss the large connectivity limit.

Affiliated with

Also associated with

No associations

Rating

Anderson model on Bethe lattices: density of states, localization properties and isolated eigenvalue 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 Anderson model on Bethe lattices: density of states, localization properties and isolated eigenvalue, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anderson model on Bethe lattices: density of states, localization properties and isolated eigenvalue will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658913