Anderson Model on Bethe Lattices: Density of States, Localization Properties and Isolated Eigenvalue

作者：Biroli Giulio^*; Semerjian Guilhem; Tarzia Marco

来源：Progress of Theoretical Physics - Supplement, 2010, 184(184): 187-199.

DOI：10.1143/ptps.184.187

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.

• 出版日期2010
• 单位中国地震局