Non-Hermitian disorder in two-dimensional optical lattices

AF Tzortzakakis, KG Makris, EN Economou - Physical Review B, 2020 - APS
In this paper, we study the properties of two-dimensional lattices in the presence of non-
Hermitian disorder. In the context of coupled mode theory, we consider random gain-loss …

Fractal superconductivity near localization threshold

MV Feigel'Man, LB Ioffe, VE Kravtsov, E Cuevas - Annals of Physics, 2010 - Elsevier
We develop a semi-quantitative theory of electron pairing and resulting superconductivity in
bulk “poor conductors” in which Fermi energy EF is located in the region of localized states …

Dark and photo-conductivity in ordered array of nanocrystals

A Shabaev, AL Efros, AL Efros - Nano letters, 2013 - ACS Publications
A theory of photo-and dark-band conductivities in semiconductor supercrystals consisting of
nanocrystals is developed by assuming scattering by structural defects in the supercrystals …

Two-eigenfunction correlation in a multifractal metal and insulator

E Cuevas, VE Kravtsov - Physical Review B—Condensed Matter and Materials …, 2007 - APS
We consider the correlation of two single-particle probability densities∣ Ψ E (r)∣ 2 at
coinciding points r as a function of the energy separation ω=∣ E− E′∣ for disordered tight …

Multifractal analysis of the metal-insulator transition in the three-dimensional Anderson model. I. Symmetry relation under typical averaging

LJ Vasquez, A Rodriguez, RA Römer - Physical Review B—Condensed Matter …, 2008 - APS
The multifractality of the critical eigenstate at the metal to insulator transition (MIT) in the
three-dimensional Anderson model of localization is characterized by its associated …

Renormalization group for Anderson localization on high-dimensional lattices

BL Altshuler, VE Kravtsov, A Scardicchio… - arXiv preprint arXiv …, 2024 - arxiv.org
We discuss the dependence of the critical properties of the Anderson model on the
dimension $ d $ in the language of $\beta $-function and renormalization group recently …

Anderson localization in 1D systems with correlated disorder

A Croy, P Cain, M Schreiber - The European Physical Journal B, 2011 - Springer
Anderson localization has been a subject of intense studies for many years. In this context,
we study numerically the influence of long-range correlated disorder on the localization …

Multifractality and quantum-to-classical crossover in the Coulomb anomaly at the Mott–Anderson metal–insulator transition

M Amini, VE Kravtsov, M Müller - New Journal of Physics, 2014 - iopscience.iop.org
We study the interaction-driven localization transition, which a recent experiment
(Richardella et al 2010 Science 327 665) in Ga 1− x Mn x As has shown to come along with …

Energy levels and their correlations in quasicrystals

A Jagannathan, F Piéchon - Philosophical Magazine, 2007 - Taylor & Francis
Quasicrystals can be considered, from the point of view of their electronic properties, as
being intermediate between metals and insulators. For example, experiments show that …

Energy delocalization in strongly disordered systems induced by the long-range many-body interaction

AL Burin - arXiv preprint cond-mat/0611387, 2006 - arxiv.org
Anderson localization1 in a random system is sensitive to a distance dependence of the
excitation transfer amplitude V (r). If V (r) decreases with the distance r slower than 1/r^ d in a …