Year: 2017
Type: article
Abstract: An analytical theory, based on the perturbative treatment of the disorder and extended into a self-consistent set of equations for the dynamical density correlations, is developed and applied to the prototype one-dimensional model of many-body localization. Results show a qualitative agreement with the numerically obtained dynamical structure factor in the whole range of frequencies and wave vectors, as well as across the transition to nonergodic behavior. The theory reveals the singular nature of the one-dimensional problem, whereby on the ergodic side the dynamics is subdiffusive with dynamical conductivity $\ensuremath{\sigma}(\ensuremath{\omega})\ensuremath{\propto}{|\ensuremath{\omega}|}^{\ensuremath{\alpha}}$, i.e., with vanishing dc limit ${\ensuremath{\sigma}}_{0}=0$ and $\ensuremath{\alpha}<1$ varying with disorder, while we get $\ensuremath{\alpha}>1$ in the localized phase.
Authors: P. Prelovšek, J. Herbrych
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2735537466