Abstract

We investigate the occurrence of many-body localization (MBL) on a spin-1/2 transverse-field Ising model defined on a Chimera connectivity graph with random exchange interactions and longitudinal fields. We observe a transition from an ergodic phase to a nonthermal phase for individual energy eigenstates induced by a critical disorder strength for the Ising parameters. Our result follows from the analysis of both the mean half-system block entanglement and the energy-level statistics. We identify the critical point associated with this transition using the maximum variance of the block entanglement over the disorder ensemble as a function of the disorder strength. The calculated energy density phase diagram shows the existence of a mobility edge in the energy spectrum. In terms of the energy-level statistics, the system changes from the Gaussian orthogonal ensemble for weak disorder to a Poisson distribution limit …

Date

April 1, 2022

Authors

Jaime LC da C Filho, Zoe Gonzalez Izquierdo, Andreia Saguia, Tameem Albash, Itay Hen, Marcelo S Sarandy

Journal

Physical Review B

Volume

105

Issue

13

Pages

134201

Publisher

American Physical Society