190 citations · 1.9k across the 45 of their papers we have counts for
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cond-mat.dis-nn2016★ 132 cited
Fractality of wave functions on a Cayley tree: Difference between a tree and a locally tree-like graph without boundary
K. S. Tikhonov, A. D. Mirlin
We investigate analytically and numerically eigenfunction statistics in a disordered system on a finite Bethe lattice (Cayley tree). We show that the wave function amplitude at the…
cond-mat.dis-nn2016★ 168 cited
Anderson localization on random regular graphs
K. S. Tikhonov, A. D. Mirlin, M. A. Skvortsov
A numerical study of Anderson transition on random regular graphs (RRG) with diagonal disorder is performed. The problem can be described as a tight-binding model on a lattice with…