32 citations · 130 across the 9 of their papers we have counts for
7 papers
Thermalisation as Diffusion in Hilbert Space
Aleksey Lunkin
We develop a microscopic theory of thermalisation for a thermometer coupled to a many-body bath beyond standard Markovian and Fermi-golden-rule assumptions. By modeling interaction…
Density of states correlations in Lévy Rosenzweig-Porter model via supersymmetry approach
Elizaveta Safonova, Aleksey Lunkin, Mikhail Feigel' man
We studied global density-of-states correlation function for Lévy-Rosenzweig-Porter random matrix ensemble in the non-ergodic extended phase. Using an extension of Efetov's…
The butterfly effect in a Sachdev-Ye-Kitaev quantum dot system
A. V. Lunkin
We study the out-of-time-order correlation function (OTOC) in a lattice extension of the Sachdev-Ye-Kitaev (SYK) model with quadratic perturbations. The results obtained are valid…
Perturbed Sachdev-Ye-Kitaev model: a polaron in the hyperbolic plane
A. V. Lunkin, A. Yu. Kitaev, M. V. Feigel'man
We study the SYK model with a weak SYK term of magnitude beyond the simplest perturbative limit considered previously. For intermediate values of the perturbation stren…
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…
Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
A. V. Lunkin, K. S. Tikhonov, M. V. Feigel'man
We developed general approach to the calculation of power-law infrared asymptotics of spin-spin correlation functions in the Kitaev honeycomb model with different types of perturba…