190 citations · 1.9k across the 45 of their papers we have counts for
4 papers · 1 filter
Statistics of eigenstates near the localization transition on random regular graphs
K. S. Tikhonov, A. D. Mirlin
Dynamical and spatial correlations of eigenfunctions as well as energy level correlations in the Anderson model on random regular graphs (RRG) are studied. We consider the critical…
Many-body localization and delocalization in large quantum chains
Elmer V. H. Doggen, Frank Schindler, Konstantin S. Tikhonov +4
We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a random on-site magnetic field, which is one of the paradigmatic models of a many-body locali…
SYK model with quadratic perturbations: the route to a non-Fermi-liquid
A. V. Lunkin, K. S. Tikhonov, M. V. Feigel'man
We study the stability of the SYK model with a large but finite number of fermions with respect to a perturbation, quadratic in fermionic operators. We develop analytic per…
Many-body localization transition with power-law interactions: Statistics of eigenstates
K. S. Tikhonov, A. D. Mirlin
We study spectral and wavefunction statistics for many-body localization transition in systems with long-range interactions decaying as with an exponent satisfying $ d…