Three-body interactions on a triangular lattice

TL;DR

This study investigates the phase diagram of a hard-core Bose-Hubbard model on a triangular lattice, revealing how three-body and nearest neighbor interactions influence various quantum phases and phase transitions.

Contribution

It provides a comprehensive analysis of the effects of three-body interactions on the phase diagram, including the emergence, suppression, and revival of supersolid and solid phases.

Findings

The one-third solid and supersolid phases disappear with only three-body interactions.

Solid and superfluid phases undergo 3-state Potts and Kosterlitz-Thouless transitions, respectively.

Tuning three-body interactions distorts the phase diagram and suppresses certain phases.

Abstract

We analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo simulation. For a system with only the three-body interactions, both the supersolid phase and one third solid disappear while the two thirds solid stably exists. As the thermal behavior of the bosons with nearest neighbor repulsion, the solid and the superfluid undergo the 3-state Potts and the Kosterlitz-Thouless type phase transitions, respectively. In a system with both the frustrated nearest neighbor two-body and three-body interactions, the supersolid and one third solid revive. By tuning the strength of the three-body interactions, the phase diagram is distorted, because the one-third solid and the supersolid are suppressed.