Coexistence of spin-1 fermion and Dirac fermion on the triangular kagome lattice

Abstract

Quasiparticle excitations beyond Dirac-Weyl-Majorana classification can appear in lattice systems due to the less symmetry constraint compared with Poincaré symmetry in high energy physics. In particular, fermions with an integer spin can appear in a variety of lattices. Here, we show that two-dimensional spin-1 fermion may coexist with Dirac fermions in the triangular kagome lattice (TKL). We derive a four-band effective model that hosts both types of fermions. The effective model can be used to study the interplay between spin-1 and spin-1/2 fermions. As an example, using this model we show that spin-nonconserving Klein tunneling can occur in the TKL, which has the transmission coefficient $T=1$ for normal incidence. Our findings pave a way to the study of the interaction and interplay between different types of fermions in lattice systems.

5 pages, 5 figures

References in corpus (15)

• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Evidence of Klein tunneling in graphene p-n junctions
• Multiple types of topological fermions in transition metal silicides
• Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
• Hall effect of triplons in a dimerized quantum magnet
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• Emergent pseudospin-1 Maxwell fermions with a threefold degeneracy in optical lattices
• XXZ and Ising Spins on the Triangular Kagome Lattice
• Pseudospin 3/2 Fermions, Type-II Weyl Semimetals and Critical Weyl Semimetals in Tricolor Cubic Lattice
• Thermodynamics of Ising spins on the Triangular Kagome Lattice: Exact analytical method and Monte Carlo simulations
• Geometrically protected triple-point crossings in an optical lattice
• Dimers on the Triangular Kagome Lattice

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• Unpaired topological triply degenerate point for spin-tensor-momentum-coupled ultracold atoms
• Triply degenerate nodal lines in topological and non-topological metals
• SU(3) fermions in a three-band Graphene-like model
• Fragile topological phase on the triangular kagome lattice and its bulk-boundary correspondence
• Quantum pumping with adiabatically modulated barriers in three-band pseudospin-1 Dirac-Weyl systems
• Unconventional transport properties in systems with triply degenerate quadratic band crossings
• Transport properties of the pseudospin-3/2 Dirac-Weyl fermions in the double-barrier-modulated two-dimensional system