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19962026
most citedAnderson localization on random regular graphs

168 citations · 1.2k across the 60 of their papers we have counts for

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cond-mat.dis-nn2022

Resonances in a single-lead reflection from a disordered medium: -model approach

Yan V. Fyodorov, Mikhail A. Skvortsov, Konstantin S. Tikhonov

Using the framework of supersymmetric non-linear -model we develop a general non-perturbative characterisation of universal features of the density of the imaginary parts…

cond-mat.dis-nn2022★ 21 cited

Sensitivity of (multi)fractal eigenstates to a perturbation of the Hamiltonian

Mikhail A. Skvortsov, Mohsen Amini, Vladimir E. Kravtsov

We study the response of an isolated quantum system governed by the Hamiltonian drawn from the Gaussian Rosenzweig-Porter random matrix ensemble to a perturbation controlled by a s…

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…

cond-mat.dis-nn2011★ 4 cited

Crossovers between superconducting symmetry classes

V. A. Koziy, M. A. Skvortsov

We study the average density of states in a small metallic grain coupled to two superconductors with the phase difference , in a magnetic field. The spectrum of the low-energy e…

cond-mat.dis-nn2009★ 7 cited

Correlations of the local density of states in quasi-one-dimensional wires

D. A. Ivanov, P. M. Ostrovsky, M. A. Skvortsov

We report a calculation of the correlation function of the local density of states in a disordered quasi-one-dimensional wire in the unitary symmetry class at a small energy differ…