Many-body localization transition in a two-dimensional disordered quantum dimer model

Hugo Théveniaut, Zhihao Lan, Gabriel Meyer +1 more

This work analyses numerically the localization properties of a disordered quantum dimer model on the square lattice. The authors find a transition from an ergodic to a many-body localized regime as a function of the disorder strength.

Rajdeep Sensarma, Abhisek Samanta, Ahana Chakraborty

P. Capuzzi, M. Gattobigio, Patrizia Vignolo

We introduce a two-dimensional short-range correlated disorder that is the natural generalization of the well-known one-dimensional dual random dimer model [D. H. Dunlap et al., Phys. Rev. Lett. 65, 88 (1990)]. We demonstrate that, as in one dimension, this model induces a localization-delocalization transition in the single-particle spectrum. Moreover we show that the effect of such a disorder on a weakly interacting boson gas is to enhance the condensate spatial homogeneity and delocalization and to increase the condensate fraction around an effective resonance of the two-dimensional dual dimers. This study proves that short-range correlations of a disordered potential can enhance the quantum coherence of a weakly interacting many-body system.

Nyayabanta Swain, Ho-Kin Tang, Brian Khor +3 more

Eduardo Jonathan Torres-Herrera, Léa Ferreira dos Santos

Francesca Pietracaprina, Fabien Alet

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.