168 citations · 731 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
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…
Energy transport in the Anderson insulator
D. B. Gutman, I. V. Protopopov, A. L. Burin +3
We study the heat conductivity in Anderson insulators in the presence of power-law interaction. Particle-hole excitations built on localized electron states are viewed as two-level…
Rippling and crumpling in disordered free-standing graphene
I. V. Gornyi, V. Yu. Kachorovskii, A. D. Mirlin
Graphene is a famous realization of elastic crystalline 2D membrane. Thermal fluctuations of a 2D membrane tend to destroy the long-range order in the system. Such fluctuations are…