Coexistence of spin-1/2 and spin-1 Dirac-Weyl fermions in the edge-centered honeycomb lattice

Abstract

We investigate the properties of an edge-centered honeycomb lattice, and show that this lattice features both spin-1/2 and spin-1 Dirac-Weyl fermions at different filling fractions f (f=1/5,4/5 for spin-1/2 and f=1/2 for spin-1). This five-band system is the simplest lattice that can support simultaneously the two different paradigmatic Dirac-Weyl fermions with half-integer spin and integer spin. We demonstrate that these pseudo-relativistic structures, including a flat band at half-filling, can be deduced from the underlying Kagome sublattice. We further show that the signatures of the two kinds of relativistic fermions can be clearly revealed by several perturbations, such as a uniform magnetic field, a Haldane-type spin-orbit term, and charge density waves. We comment on the possibility to probe the similarities and differences between the two kinds of relativistic fermions, or even to isolate them individually. We present a realistic scheme to realize such a system using cold atoms.

published version

References in corpus (16)

• The electronic properties of graphene
• Topological Insulators with Inversion Symmetry
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Merging of Dirac points in a two-dimensional crystal
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Topological Insulators on the Lieb and Perovskite Lattices
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Two-dimensional Mott-Hubbard electrons in an artificial honeycomb lattice
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• Ultracold Fermions in a Graphene-Type Optical Lattice
• Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
• Topology-induced phase transitions in quantum spin Hall lattices

Cited by in corpus (25)

• Observation of a localized flat-band state in a photonic Lieb lattice
• Artificial flat band systems: from lattice models to experiments
• Chiral Flat Bands: Existence, Engineering and Stability
• Pairing and superconductivity in the flat band: Creutz lattice
• Anisotropic Weyl Fermions from Quasiparticle Excitation Spectrum of a 3D Fulde-Ferrell Superfluid
• Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals
• Transport properties in the photonic super-honeycomb lattice - a hybrid fermionic and bosonic system
• Symmetry Protected Quantization and Bulk-Edge Correspondence of Massless Dirac Fermions: Application to Fermionic Shastry-Sutherland Model
• $2^n$-root weak, Chern, and higher-order topological insulators, and $2^n$-root topological semimetals
• Flatband Line States in Photonic Super-Honeycomb Lattices
• RKKY interaction in a doped pseudospin-1 fermion system at finite temperature
• New face-centered photonic square lattices with flat bands
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks
• Vector valley Hall edge solitons in superhoneycomb lattices
• Coexistence of spin-1 fermion and Dirac fermion on the triangular kagome lattice
• Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
• Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
• Generating Lieb and super-honeycomb lattices by employing the fractional Talbot effect
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Properties of the eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
• Topological Flat Band and Parity-Time Symmetry in a Honeycomb Lattice of Coupled Resonant Optical Waveguides
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• Two-dimensional flat-band solitons in superhoneycomb lattices
• A generalized framework for straintronics in 2D quantum materials using group theory