Composite Dirac Semimetal

Abstract

Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac semimetal (CDSM). In its bulk, the CDSM has a pair of Dirac points and a pair of bands inverted along a high-symmetry path. At side surfaces, a pair of Fermi arcs connecting the projected Dirac points coexist with a pair of Fermi loops traversing the surface Brillouin zone. A nonsymmorphic symmetry dictates degeneracies between the Fermi arcs and the Fermi loops. We characterize the CDSM by multiple topological invariants and show that, under a transition without breaking any symmetry, it deforms into a topological crystalline insulator hosting two pairs of surface Fermi loops. We demonstrate the CDSM in two models and predict its realization in the KAuTe-family materials.

References in corpus (57)

• Topological Insulators
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• 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
• Topological Insulators with Inversion Symmetry
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Classification of topological quantum matter with symmetries
• WannierTools: An open-source software package for novel topological materials
• Topological invariants of time-reversal-invariant band structures
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Topological Crystalline Insulators in the SnTe Material Class
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• Topological Semimetals
• The space group classification of topological band insulators
• Topological classification of crystalline insulators through band structure combinatorics
• Quantum Oscillations from Surface Fermi-Arcs in Weyl and Dirac Semi-Metals
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• Hourglass Fermions
• Transport evidence for Fermi-arc mediated chirality transfer in the Dirac semimetal Cd${}_3$As${}_2$
• Triple Point Topological Metals
• Dirac and Weyl Superconductors in Three Dimensions
• Electric Field-Tuned Topological Phase Transition in Ultra-Thin Na3Bi - Towards a Topological Transistor
• The strong side of weak topological insulators
• Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
• Topological Classification and Stability of Fermi Surfaces
• Topology, Delocalization via Average Symmetry and the Symplectic Anderson Transition
• Bulk Dirac points in distorted spinels
• Topological Crystalline Insulators and Dirac Octets in Anti-perovskites
• Quantum transport and two-parameter scaling at the surface of a weak topological insulator
• Artificial gravity field, astrophysical analogues, and topological phase transitions in strained topological semimetals
• Dirac and Weyl Materials: Fundamental Aspects and Some Spintronics Applications
• Atomic Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy/Spectroscopy
• Weak Topological Insulators and Composite Weyl Semimetals: $\beta$-Bi${}_4$X${}_4$ (X=Br, I)
• Topological Insulators in Ternary Compounds with a Honeycomb Lattice
• Electric control of topological phase transitions in Dirac semimetal thin films
• Three-Dimensional Dirac Electrons at the Fermi Energy in Cubic Inverse Perovskites: Ca_3PbO and its Family
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• Quadratic contact point semimetal: Theory and material realization
• Low-Energy Effective Hamiltonian and the Surface States of Ca_3PbO
• Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
• Type-II Dirac surface states in topological crystalline insulators
• Generic coexistence of Fermi arcs and Dirac cones on the surface of time-reversal invariant Weyl semimetals
• MgTa2N3: A new reference Dirac semimetal
• Computational search for Dirac and Weyl nodes in $f$-electon antiperovskites
• Surface states in Dirac metals and topological crystalline insulators

Cited by in corpus (6)

• Higher-order Dirac fermions in three dimensions
• Dirac phonons in two-dimensional materials
• Multiple magnetism controlled topological states in EuAgAs
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Topological Descendants of Multicritical EuTl2
• Floquet composite Dirac semimetals