282 citations · 1.7k across the 42 of their papers we have counts for
42 papers
Renormalization Group Analysis of the Anderson Model on Random Regular Graphs
Carlo Vanoni, Boris L. Altshuler, Vladimir E. Kravtsov +1
We present a renormalization group analysis of the problem of Anderson localization on a Random Regular Graph (RRG) which generalizes the renormalization group of Abrahams, Anderso…
Random Cantor sets and mini-bands in local spectrum of quantum systems
B. L. Altshuler, V. E. Kravtsov
In this paper we give a physically transparent picture of singular-continuous spectrum in disordered systems which possess a non-ergodic extended phase. We present a simple model o…
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…
Statistics of Green's functions on a disordered Cayley tree and the validity of forward scattering approximation
P. A. Nosov, I. M. Khaymovich, A. Kudlis +1
The accuracy of the forward scattering approximation for two-point Green's functions of the Anderson localization model on the Cayley tree is studied. A relationship between the mo…
Dynamical phases in a "multifractal" Rosenzweig-Porter model
I. M. Khaymovich, V. E. Kravtsov
We consider the static and dynamic phases in a Rosenzweig-Porter (RP) random matrix ensemble with the tailed distribution of off-diagonal matrix elements of the form of the large-d…
Fragile ergodic phases in logarithmically-normal Rosenzweig-Porter model
I. M. Khaymovich, V. E. Kravtsov, B. L. Altshuler +1
In this paper we suggest an extension of the Rosenzweig-Porter (RP) model, the LN-RP model, in which the off-diagonal matrix elements have a wide, log-normal distribution. We argue…