109 citations · 457 across the 14 of their papers we have counts for
14 papers
Dielectric response of Anderson and pseudogapped insulators
M. V. Feigel'man, D. A. Ivanov, E. Cuevas
Using a combination of analytic and numerical methods, we study the polarizability of a (non-interacting) Anderson insulator in one, two, and three dimensions and demonstrate that,…
Levy flights and multifractality in quantum critical diffusion and in classical random walks on fractals
V. E. Kravtsov, O. M. Yevtushenko, P. Snajberk +1
We employed the method of virial expansion in order to compute the retarded density correlation function (generalized diffusion propagator) in the critical random matrix ensemble i…
Level number variance and spectral compressibility in a critical two-dimensional random matrix model
A. Ossipov, I. Rushkin, E. Cuevas
We study level number variance in a two-dimensional random matrix model characterized by a power-law decay of the matrix elements. The amplitude of the decay is controlled by the p…
Criticality without self-similarity: a 2D system with random long-range hopping
A. Ossipov, I. Rushkin, E. Cuevas
We consider a simple model of quantum disorder in two dimensions, characterized by a long-range site-to-site hopping. The system undergoes a metal-insulator transition -- its eigen…
Dynamical scaling for critical states: is Chalker's ansatz valid for strong fractality?
V. E. Kravtsov, A. Ossipov, O. M. Yevtushenko +1
The dynamical scaling for statistics of critical multifractal eigenstates proposed by Chalker is analytically verified for the critical random matrix ensemble in the limit of stron…
Supersymmetric Virial Expansion for Time-Reversal Invariant Disordered Systems
S. Kronmueller, O. M. Yevtushenko, E. Cuevas
We develop a supersymmetric virial expansion for two point correlation functions of almost diagonal Gaussian Random Matrix Ensembles (ADRMT) of the orthogonal symmetry. These ensem…