Stability of scar states in the two-dimensional PXP model against random disorder

Recently a class of quantum systems exhibiting weak ergodicity breaking has attracted much attention. These feature special band eigenstates called many-body scar states in the energy spectrum. In this work we study fate two-dimensional lattice against random disorders. We show that both square and honeycomb can persist up to finite disorder strength, before eventually being erased by disorder. further localization properties system presence even stronger disorders whether full transition occurs depends on type introduce. Our thus reveals fascinating interplay between scarring system.