Topological Charges, Fermi Arcs, and Surface States of $K_4$ Crystal

Abstract

We investigate the topological electronic properties of the $K_4$ crystal by constructing a tight-binding model. The bulk band structure hosts Weyl nodes with higher and conventional chiralities ($\chi =\pm 2$ and $\chi =\pm 1$) located at high-symmetry points in the Brillouin zone. Through analytical evaluation of the Berry curvature, we identify the positions and chiralities of these Weyl nodes. Furthermore, slab calculations for the (001) surface reveal Fermi arcs that connect Weyl nodes of opposite chirality, including those linking $\chi =\pm 2$ nodes with pairs of $\chi =\mp 1$ nodes. These results demonstrate that the $K_4$ crystal is a spinless Weyl semimetal featuring topologically protected surface states originating from multiple types of Weyl nodes.

arXiv comment15 pages, 3 figures

References in corpus (47)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Topological Insulators
• Topological insulators and superconductors
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Berry Phase Effects on Electronic Properties
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Maximally localized Wannier functions: Theory and applications
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Topological Crystalline Insulators
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Experimental discovery of Weyl semimetal TaAs
• Topological Insulator Materials
• Topological quantum chemistry
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Crossover of Three-Dimensional Topological Insulator of Bi2Se3 to the Two-Dimensional Limit
• Topological Crystalline Insulators in the SnTe Material Class
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• The quantum spin Hall effect and topological insulators
• High-accuracy first-principles determination of the structural, vibrational and thermodynamical properties of diamond, graphite, and derivatives
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Weyl points and line nodes in gapless gyroid photonic crystals
• Antiferromagnetic topological insulators
• The Zak phase and the existence of edge states in graphene
• Novel Topological Phase with Zero Berry Curvature
• Triple Point Topological Metals
• Chiral Optical Response of Multifold Fermions
• Criteria for directly detecting topological Fermi arcs in Weyl semimetals
• Pi Berry phase and Zeeman splitting of TaP probed by high field magnetotransport measurements
• Topological triply-degenerate point with double Fermi arcs
• Composite Weyl nodes stabilized by screw symmetry with and without time reversal
• Observation of giant spin-split Fermi-arc with maximal Chern number in the chiral topological semimetal PtGa
• Optical signatures of multifold fermions in the chiral topological semimetal CoSi
• Topological Triply Degenerate Points Induced by Spin-Tensor-Momentum Couplings
• Triple point fermions in a minimal symmorphic model
• Surface polarization and edge charges
• Three-dimensional higher-spin Dirac and Weyl dispersions in the strongly isotropic $K_4$ crystal
• Topological Edge and Corner States in Biphenylene Network
• Chiralities of nodal points along high symmetry lines with screw rotation symmetry
• Properties of atomic intercalated carbon K4 crystals