Probing many-body localization in a disordered quantum dimer model on the honeycomb lattice

2020/05/31 by Francesca Pietracaprina, Fabien Alet
Physics and Astronomy · #Anderson localization #Cold Atom Physics and Bose-Einstein Condensates #Dimer #Eigenvalues and eigenvectors #Honeycomb #Lattice (music) #Quantum #Quantum many-body systems #Quantum system #Topological Materials and Phenomena #cond-mat.dis-nn

paper · pdf · doi:10.21468/scipostphys.10.2.044

published as SciPost Phys. 10, 044 (2021) · 26 pages, 16 figures. Revised version

openalex created_date 2020/05/29 · arxiv created 2020/12/15 · openalex publication_date 2021/02/22 · arxiv updated 2021/02/24 · openalex updated_date 2026/08/06

Abstract

We numerically study the possibility of many-body localization transition in a disordered quantum dimer model on the honeycomb lattice. By using the peculiar constraints of this model and state-of-the-art exact diagonalization and time evolution methods, we probe both eigenstates and dynamical properties and conclude on the existence of a localization transition, on the available time and length scales (system sizes of up to N=108 sites). We critically discuss these results and their implications.

Citations

• Theory of the Many-Body Localization Transition in One-Dimensional Systems
• Phase Diagram of an Extended Quantum Dimer Model on the Hexagonal Lattice
• Many-Body Localization in a Disordered Quantum Ising Chain
• Local Conservation Laws and the Structure of the Many-Body Localized States
• Many-body localization in the HeisenbergXXZmagnet in a random field
• Phase diagram of the hexagonal lattice quantum dimer model
• SLEPc
• Localization of interacting fermions at high temperature
• Bayesian inference in the scaling analysis of critical phenomena
• Local integrals of motion in many‐body localized systems
• From Bloch oscillations to many-body localization in clean interacting systems