Strong to weak topological interacting phase transition of bosons on a lattice

We study hard-core bosons on the honeycomb lattice subjected to anisotropic nearest-neighbor hopping along with anisotropic nearest-neighbor repulsion, using a quantum Monte Carlo technique. At half filling, we find a transition from strong topological interacting order to weak topological interacting order as a function of the hopping anisotropy. The strong topological phase is characterized by a finite topological entanglement entropy, while the weak topological order is identified with a nontrivial value of the bipartite entanglement entropy. Some of the order parameters and their derivatives demonstrate abrupt changes when varying the parameters controlling the lattice anisotropies, thus revealing the nature of this topological interacting phase transition.

Automated summary

We studied hard-core bosons on the honeycomb lattice with anisotropic nearest-neighbor hopping and repulsion using a quantum Monte Carlo technique. At half filling, we observed a transition from strong topological interacting order to weak topological interacting order as the hopping anisotropy varied. The strong topological phase was characterized by a finite topological entanglement entropy, while the weak topological order was identified by a nontrivial value of the bipartite entanglement entropy. The abrupt changes in certain order parameters and their derivatives revealed the nature of this topological interacting phase transition.