239 citations · 2.2k across the 40 of their papers we have counts for
37 papers
Semi-localized ground state in a 1D system with long-range hopping
Murod S. Bahovadinov, Faridun N. Jalolov, Vladimir E. Kravtsov +2
We study the localization of a quantum particle in a one-dimensional disordered system with long-range hopping amplitudes . In contrast to the standard one-dime…
Semi-fractality and localization on a chiral Cayley tree
Carlo Vanoni, Vladimir E. Kravtsov, Boris L. Altshuler
We study a quantum particle hopping on an infinite Cayley tree with nearest-neighbor hopping amplitudes drawn from a distribution singular as near weak links and no on-s…
Renormalization group for Anderson localization on high-dimensional lattices
Boris L. Altshuler, Vladimir E. Kravtsov, Antonello Scardicchio +2
We discuss the dependence of the critical properties of the Anderson model on the dimension in the language of -function and renormalization group recently introduced in Ref…
Non-ergodic delocalized phase in Anderson model on Bethe lattice and regular graph
V. E. Kravtsov, B. L. Altshuler, L. B. Ioffe
We develop a novel analytical approach to the problem of single particle localization in infinite dimensional spaces such as Bethe lattice and random regular graphs. The key ingred…
Duality in power-law localization in disordered one-dimensional systems
X. Deng, V. E. Kravtsov, G. V. Shlyapnikov +1
The transport of excitations between pinned particles in many physical systems may be mapped to single-particle models with power-law hopping, . For randomly spaced particle…
Multifractal metal in a disordered Josephson Junction Array
M. Pino, V. E. Kravtsov, B. L. Altshuler +1
We report the results of the numerical study of the non-dissipative quantum Josephson junction chain with the focus on the statistics of many-body wave functions and local energy s…