81 citations · 145 across the 3 of their papers we have counts for
19 papers
Dynamical phases in a "multifractal" Rosenzweig-Porter model
I. M. Khaymovich, V. E. Kravtsov
We consider the static and dynamic phases in a Rosenzweig-Porter (RP) random matrix ensemble with the tailed distribution of off-diagonal matrix elements of the form of the large-d…
Rare thermal bubbles at the many-body localization transition from the Fock space point of view
Giuseppe De Tomasi, Ivan M. Khaymovich, Frank Pollmann +1
In this work we study the many-body localization (MBL) transition and relate it to the eigenstate structure in the Fock space. Besides the standard entanglement and multifractal pr…
Fragile ergodic phases in logarithmically-normal Rosenzweig-Porter model
I. M. Khaymovich, V. E. Kravtsov, B. L. Altshuler +1
In this paper we suggest an extension of the Rosenzweig-Porter (RP) model, the LN-RP model, in which the off-diagonal matrix elements have a wide, log-normal distribution. We argue…
Localization transition on the Random Regular Graph as an unstable tricritical point in a log-normal Rosenzweig-Porter random matrix ensemble
V. E. Kravtsov, I. M. Khaymovich, B. L. Altshuler +1
Gaussian Rosenzweig-Porter (GRP) random matrix ensemble is the only one in which the robust multifractal phase and ergodic transition have a status of a mathematical theorem. Yet,…
Renormalization to localization without a small parameter
A. G. Kutlin, I. M. Khaymovich
We study the wave function localization properties in a d-dimensional model of randomly spaced particles with isotropic hopping potential depending solely on Euclidean interparticl…
Multifractality meets entanglement: relation for non-ergodic extended states
Giuseppe De Tomasi, Ivan M. Khaymovich
In this work we establish a relation between entanglement entropy and fractal dimension of generic many-body wave functions, by generalizing the result of Don N. Page [Phys. Re…