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

TL;DR

This paper investigates the potential for many-body localization in a disordered quantum dimer model on the honeycomb lattice, using numerical methods to analyze eigenstates and dynamics up to 108 sites.

Contribution

It demonstrates the existence of a localization transition in this model, highlighting the role of constraints and advanced numerical techniques.

Findings

Evidence of a localization transition at accessible system sizes.

Eigenstate and dynamical properties indicate localization behavior.

Critical discussion on the implications of the transition.

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.