Quarter-filled supersolid and solid phases in the extended Bose-Hubbard model

Abstract

We numerically study the ground state phase diagram of the two-dimensional hard-core Bose-Hubbard model with nearest ($V_1$) and next nearest neighbor ($V_2$) repulsions. In particular, we focus on the quarter-filled phases where one supersolid and two solid phases are observed. Using both canonical and grand canonical quantum Monte Carlo (QMC) methods and a mean field calculation, we confirm the existence of a \textit{commensurate} supersolid at quarter boson filling. The nature of the commensurate supersolid will be discussed. Only one kind of the supersolid phase is found energetically stable despite of the two possible diagonal long range orderings for the solid phase. The competition between the two solid phases manifests as a first order phase transition around $2V_2\sim V_1$. The change of order parameters as functions of the chemical function is also presented.

6 pages, 9 figures

References in corpus (15)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Supersolid hardcore bosons on the triangular lattice
• Supersolid Order from Disorder: Hard-Core Bosons on the Triangular Lattice
• Wave function optimization in the variational Monte Carlo method
• Persistent supersolid phase of hard-core bosons on the triangular lattice
• Supersolids versus phase separation in two-dimensional lattice bosons
• On the Supersolid State of Matter
• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Field Induced Supersolid Phase in Spin-One Heisenberg Models
• Superfluid Interfaces in Quantum Solids
• Supersolid phase in spin dimer XXZ systems under magnetic field
• Superfluid to Mott-insulator transition in Bose-Hubbard models
• Supersolidity from defect-condensation in the extended boson Hubbard model
• Vacancy supersolid of hard-core bosons on the square lattice
• Supersolid phases in the extended boson hubbard model

Cited by in corpus (5)

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• Thermal phase transitions of supersolids in the extended Bose-Hubbard model
• Frustration induced incommensurate solids in the extended Bose-Hubbard model