Bosonic edge states in gapped honeycomb lattices

Abstract

By quantum Monte Carlo simulations of bosons in gapped honeycomb lattices, we show the existence of bosonic edge states. For single layer honeycomb lattice, bosonic edge states can be controlled to appear, cross the gap and merge into bulk states by an on-site potential applied on the outmost sites of the boundary. On bilayer honeycomb lattice, bosonic edge state traversing the gap at half filling is demonstrated. The topological origin of the bosonic edge states is discussed with pseudo Berry curvature. The results will simulate experimental studies of these exotic bosonic edge states with ultracold bosons trapped in honeycomb optical lattices.

5 pages, 6 figures. To appear in Phys. Rev. B Rapid Communication

References in corpus (23)

• The electronic properties of graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Topological confinement in bilayer graphene
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Dirac-like plasmons in honeycomb lattices of metallic nanoparticles
• Interaction effects and quantum phase transitions in topological insulators
• Topological Insulators and Metals in Atomic Optical Lattices
• Bosonic Integer Quantum Hall effect in an interacting lattice model
• Phase Diagram of Interacting Bosons on the Honeycomb Lattice
• Bosonic integer quantum Hall effect in optical flux lattices
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
• Field-induced dynamical properties of the $XXZ$ model on a honeycomb lattice
• Berry Curvature of interacting bosons in a honeycomb lattice
• Unavoidable Gapless Boundary State and Boundary Superfluidity of Trapped Bose Mott States in Two-Dimensional Optical Lattices

Cited by in corpus (9)

• A first theoretical realization of honeycomb topological magnon insulator
• Magnon Hall effect in AB-stacked bilayer honeycomb quantum magnets
• Magnonic Analogs of Topological Dirac Semimetals
• Analytical study of the edge states in the bosonic Haldane model
• Magnon edge states in hardcore-Bose-Hubbard model
• Self-Organized Bosonic Domain Walls
• Phase diagram of dipolar hard-core bosons on honeycomb lattice
• Hardcore bosonic domain walls on honeycomb lattice
• Topological hard-core bosons on the honeycomb lattice