Phase Structure of Repulsive Hard-Core Bosons in a Stacked Triangular Lattice

Abstract

In this paper, we study phase structure of a system of hard-core bosons with a nearest-neighbor (NN) repulsive interaction in a stacked triangular lattice. Hamiltonian of the system contains two parameters one of which is the hopping amplitude $t$ between NN sites and the other is the NN repulsion $V$. We investigate the system by means of the Monte-Carlo simulations and clarify the low and high-temperature phase diagrams. There exist solid states with density of boson $\rho =\frac{1}{3}$ and $\frac{2}{3}$, superfluid, supersolid and phase-separated state. The result is compared with the phase diagram of the two-dimensional system in a triangular lattice at vanishing temperature.

4+epsilon pages, 11 figures, Version to be published in Phys.Rev.A

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Supersolid hardcore bosons on the triangular lattice
• Supersolids versus phase separation in two-dimensional lattice bosons
• Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice System
• Supersolid phase in atomic gases with magnetic dipole interaction
• Quantum disordered ground state for hard-core bosons on the frustrated square lattice
• Antiferromagnetic, metal-insulator, and superconducting phase transitions in underdoped cuprates: Slave-fermion t-J model in the hopping expansion

Cited by in corpus (6)

• Stacked triangular lattice: Percolation properties
• Superfluidity and solid orders in two-component Bose gas with dipolar interactions in an optical lattice
• Effective field theories for two-component repulsive bosons on lattice and their phase diagrams
• Bosonic t-J Model in a stacked triangular lattice and its phase diagram
• Phase diagram of dipolar hard-core bosons on honeycomb lattice
• Superfluid, Supersolid and Checkerboard Solid in Two-Component Bosons in an Optical Lattice: Study by Means of Gross-Pitaevskii Theory and Monte-Carlo Simulations