Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System

TL;DR

This paper demonstrates the existence of a supersolid phase in frustrated hard-core bosons on a triangular lattice, exploring the effects of interaction strength and hopping terms, with implications for experimental realization.

Contribution

It provides the first numerical evidence of a supersolid phase in a frustrated triangular lattice system and analyzes the impact of next nearest neighbor hopping.

Findings

Supersolid phase exists over a wide interaction range.

Mapping in the infinite repulsion limit connects to unfrustrated hopping case.

Next nearest neighbor hopping significantly affects superfluidity.

Abstract

We numerically demonstrate that a supersolid phase exists in a frustrated hard-core boson system on a triangular lattice over a wide range of interaction strength. In the infinite repulsion (Ising) limit, we establish a mapping to the same problem with unfrustrated hopping, which connects the supersolid to the known results in that case. The weak superfluidity can be destroyed or strongly enhanced by a next nearest neighbor hopping term, which provides valuable information for experimental realization of a supersolid phase on optical lattice.