Supersolids versus Phase Separation in Two-Dimensional Lattice Bosons

2004/12/14 by Pinaki Sengupta, Leonid P. Pryadko, Fabien Alet +2 · 28 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.94.207202

published as Phys. Rev. Lett. 94, 207202 (2005) · 4 p., 5 eps figures

arxiv created 2004/12/14 · openalex publication_date 2005/05/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

We study the nature of the ground state of the two-dimensional extended boson Hubbard model on a square lattice by quantum Monte Carlo methods. We demonstrate that strong but finite on-site interaction U along with a comparable nearest-neighbor repulsion V result in a thermodynamically stable supersolid ground state for densities larger than 1/2, in contrast to fillings less than 1/2 or for very large U, where the checkerboard supersolid is unstable towards phase separation. We discuss the relevance of our results to realizations of supersolids using cold bosonic atoms in optical lattices.

Citations

• Quantum phase transitions in the two-dimensional hardcore boson model
• Quantum Phases of Dipolar Bosons in Optical Lattices

Cited by

• Exploring confinement transitions in ℤ₂ lattice gauge theories with dipolar atoms beyond one dimension
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation
• Supersolidity from defect condensation in the extended boson Hubbard model
• Phases and collective modes of a hardcore Bose-Fermi mixture in an optical lattice
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Supersolids in confined fermions on one-dimensional optical lattices
• Supersolid phases of dipolar bosons in optical lattices with a staggered flux
• Counterflow and paired superfluidity in one-dimensional Bose mixtures in optical lattices
• The physics of dipolar bosonic quantum gases
• Competing Supersolid and Haldane Insulator Phases in the Extended One-Dimensional Bosonic Hubbard Model
• Contemporary tensor network approaches to gapless and topological phases in an extended Bose-Hubbard ladder
• Effect of fluctuations on the superfluid-supersolid phase transition on the lattice
• Vacancy supersolid of hard-core bosons on the square lattice
• Supersolid phases in the bosonic extended Hubbard model
• Ground state and thermal transitions in field-induced spin-supersolid phase
• Stability of Superfluid and Supersolid Phases of Dipolar Bosons in Optical Lattices
• Columnar Antiferromagnetic Order and Spin Supersolid Phase on the Extended Shastry-Sutherland Lattice
• Identifying insulating states of ultra cold atoms with cavity transmission spectrum
• Ultracold dipolar gases in optical lattices
• Gutzwiller study of extended Hubbard models with fixed boson densities
• Strongly interacting bosons in a one-dimensional optical lattice at incommensurate densities
• Creating a supersolid in one-dimensional Bose mixtures
• Extended Bose—Hubbard model with pair hopping on triangular lattice
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Directed-Loop Quantum Monte Carlo Method for Retarded Interactions
• Field-induced quantum phases in a frustrated spin-dimer model: A sign-problem-free quantum Monte Carlo study
• Supersolid state in fermionic optical lattice systems

Related

• Ground-State Phase Diagram of the Two-Dimensional Extended Bose-Hubbard Model
• Supersolidity from defect condensation in the extended boson Hubbard model
• Quantum phase transitions from Solids to Supersolids in bi-partite lattices
• Vacancy supersolid of hard-core bosons on the square lattice
• Route to supersolidity for the extended Bose-Hubbard model