Bosonic t-J Model in a stacked triangular lattice and its phase diagram

TL;DR

This study explores the phase diagram of a bosonic t-J model on a stacked triangular lattice, revealing the interplay of antiferromagnetic order, superfluidity, and potential supersolid phases through Monte Carlo simulations.

Contribution

It introduces a detailed analysis of the bosonic t-J model's phase diagram on a stacked triangular lattice, highlighting the emergence of supersolid phases due to doping.

Findings

Identification of low-temperature phase diagram features

Observation of competing AF order and superfluidity

Potential formation of supersolid phases upon doping

Abstract

In this paper, we study phase diagram of a system of two-component hard-core bosons with nearest-neighbor (NN) pseudo-spin antiferromagnetic (AF) interactions in a stacked triangular lattice. Hamiltonian of the system contains three parameters one of which is the hopping amplitude $t$ between NN sites, and the other two are the NN pseudo-spin exchange interaction $J$ and the one that measures anisotropy of pseudo-spin interactions. We investigate the system by means of the Monte-Carlo simulations and clarify the low-temperature phase diagram. In particular, we are interested in how the competing orders, i.e., AF order and superfluidity, are realized, and also whether supersolid forms as a result of hole doping into the state of the $\sqrt{3}\times \sqrt{3}$ pseudo-spin pattern with the $120^o$ structure.