Vacancy supersolid of hard-core bosons on the square lattice

Abstract

The ground state of hard-core bosons on the square lattice with nearest and next-nearest neighbor repulsion is studied by Quantum Monte Carlo simulations. A supersolid phase with vacancy condensation and 'star' diagonal ordering is found for filling less than a quarter. At fillings above one quarter, a supersolid phase exists between the star and the stripe crystal at half-filling. No supersolid phase occurs above quarter-filling, if the ground state at half-filling is either a checkerboard crystal or a superfluid. No commensurate supersolid phase is observed.

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• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Spectroscopy of two-dimensional interacting lattice electrons using symmetry-aware neural backflow transformations
• Phase diagram of hard core bosons with anisotropic interactions
• Critical Temperatures of Hard-Core Boson Model on Square Lattice within Bethe Approximation
• He-4 monolayer on Graphene: a Quantum Monte Carlo study
• Frustration induced incommensurate solids in the extended Bose-Hubbard model