Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model

Abstract

The study of topological semimetals has been extended to more general topological nodal systems such as metamaterials and artificial periodic structures. Among various nodal structures, triply degenerate nodal line (TNL) is rare and hence lack of attention. In this work, we have proposed a simple tight-binding model which hosts a topological non-trivial TNL. This TNL not only has the drumhead surface states as usual nodal line systems, but also has surface states which form a contracted-drumhead shape. And the shape and area of this contracted-drumhead can be tuned by the hopping parameters of the model. This provides an effective way to modulate surface states as well as their density of states, which can be important in future applications of topological nodal systems.

arXiv comment6 pages, 5 figures

References in corpus (48)

• Berry Phase Effects on Electronic Properties
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• WannierTools: An open-source software package for novel topological materials
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Topological Materials: Weyl Semimetals
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Colloquium: Topological Band Theory
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Correlated quantum phenomena in the strong spin-orbit regime
• Discovery of a Weyl Fermion semimetal state in NbAs
• Topological nodal line semimetals with and without spin-orbital coupling
• Dirac Line Nodes in Inversion Symmetric Crystals
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topolectrical circuits
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Progress and prospects in magnetic topological materials
• MoTe2: A Type-II Weyl Topological Metal
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Topological Semimetals Predicted from First-principles Calculations
• Topological semi-metals with line nodes and drumhead surface states
• Experimental Observation of Three-Component 'New Fermions' in Topological Semimetal MoP
• Nodal surface semimetals: Theory and material realization
• Double-Weyl phonons in transition-metal monosilicides
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Triple Point Topological Metals
• Topological Nodal Line Semimetals in CaP3 family of materials
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology
• Dirac node lines in pure alkali earth metals
• Topological semimetals with double-helix nodal link
• Bulk-boundary correspondence from the inter-cellular Zak phase
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Three-component fermions with surface Fermi arcs in topological semimetal tungsten carbide
• Discovery of Weyl nodal lines in a single-layer ferromagnet
• Topological nodal states in circuit lattice
• MagneticTB: A package for tight-binding model of magnetic and non-magnetic materials
• Weyl-loop half metal in Li${}_3$(FeO${}_3$)${}_2$
• Topological photonic crystal with equifrequency Weyl points
• Systematic investigation of emergent particles in type-III magnetic space groups
• Encyclopedia of emergent particles in type-IV magnetic space groups
• Coexistence of New Fermions in Topological Semimetal TaS
• Two-dimensional topological semimetal states in monolayers Cu${}_2$Ge, Fe${}_2$Ge, and Fe${}_2$Sn
• Triply degenerate nodal lines in topological and non-topological metals