Frustration-Induced Supersolid Phases of Extended Bose-Hubbard Model in the Hard-Core Limit

TL;DR

This paper explores how frustration in the extended Bose-Hubbard model can induce various supersolid phases, including a $d$-wave superfluid, providing insights into their stabilization mechanisms and potential experimental realization.

Contribution

It demonstrates the role of hopping sign changes and frustration in stabilizing supersolid phases, introducing a new $d$-wave superfluid state with high-$T_c$ pairing symmetry.

Findings

Multiple supersolid phases can be generated by tuning hopping signs.

Frustration stabilizes supersolid states through competition of hopping terms.

Prediction and realization of a $d$-wave superfluid with high-$T_c$ pairing symmetry.

Abstract

We investigate exotic supersolid phases in the extended Bose-Hubbard model with infinite projected entangled-pair state, numerical exact diagonalization, and mean-field theory. We demonstrate that many different supersolid phases can be generated by changing signs of hopping terms, and the interactions along with the frustration of hopping terms are important to stabilize those supersolid states. We argue the effect of frustration introduced by the competition of hopping terms in the supersolid phases from the mean-field point of view. This helps to give a clearer picture of the background mechanism for underlying superfluid/supersolid states to be formed. With this knowledge, we predict and realize the $d$-wave superfluid, which shares the same pairing symmetry with high-$T_c$ materials, and its extended phases. We believe that our results contribute to preliminary understanding for desired target phases in the real-world experimental systems.