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19942025
most citedFractal superconductivity near localization threshold

221 citations · 977 across the 15 of their papers we have counts for

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6 papers · 1 filter

cond-mat.dis-nn2017★ 115 cited

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…

cond-mat.dis-nn2017★ 54 cited

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…

cond-mat.dis-nn2016★ 36 cited

Multifractal states in self-consistent theory of localization: analytical solution

B. L. Altshuler, L. B. Ioffe, V. E. Kravtsov

We consider disordered tight-binding models which Green's functions obey the self-consistent cavity equations . Based on these equations and the replica representation, we derive a…

cond-mat.dis-nn2016★ 147 cited

Non-ergodic phases in strongly disordered random regular graphs

B. L. Altshuler, E. Cuevas, L. B. Ioffe +1

We combine numerical diagonalization with a semi-analytical calculations to prove the existence of the intermediate non-ergodic but delocalized phase in the Anderson model on disor…

cond-mat.dis-nn2013★ 38 cited

Giant magnetoresistance in the variable range hopping regime

L. B. Ioffe, B. Z. Spivak

We predict the universal power law dependence of localization length on magnetic field in the strongly localized regime. This effect is due to the orbital quantum interference. Phy…

cond-mat.dis-nn1999★ 7 cited

Quantum Glass Transition in a Periodic Long-Range Josephson Array

D. M. Kagan, L. B. Ioffe, M. V. Feigel'man

We show that the ground state of the periodic long range Josephson array frustrated by magnetic field is a glass for a sufficiently large Josephson energies despite the absence of…