Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN

Abstract

Based on first-principles calculation and effective model analysis, we propose that the cubic antiperovskite material Cu${}_3$PdN can host a three-dimensional (3D) topological nodal line semimetal state when spin-orbit coupling (SOC) is ignored, which is protected by coexistence of time-reversal and inversion symmetry. There are three nodal line circles in total due to the cubic symmetry. "Drumhead"-like surface flat bands are also derived. When SOC is included, each nodal line evolves into a pair of stable 3D Dirac points as protected by C${}_4$ crystal symmetry. This is remarkably distinguished from the Dirac semimetals known so far, such as Na${}_3$Bi and Cd${}_3$As${}_2$, both having only one pair of Dirac points. Once C${}_4$ symmetry is broken, the Dirac points are gapped and the system becomes a strong topological insulator with (1;111) Z${}_2$ indices.

6 pages, 4 figures

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• Engineering rich two-dimensional higher-order topological phases by flux and periodic driving
• Turning Copper Metal into Weyl Semimetal
• Prediction of $\mathrm{TiRhAs}$ as a Dirac Nodal Line Semimetal via First-Principles Calculations
• Topological Superfluids
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• Triply degenerate nodal lines in topological and non-topological metals
• Observation of Landau quantization and standing waves in HfSiS
• Chiral phonons in binary compounds $A$Bi ($A$ = K, Rb, Cs) with P2${}_1$/c structure
• Characterization of Lifshitz transitions in topological nodal line semimetals
• Topological phases in $\alpha$-Li${}_3$N-type crystal structure of light-element compounds
• Kerr effect in tilted nodal loop semimetals
• Topological electronic properties of silicon
• Chiral Topological Phononic Quasiparticles in Enantiomeric Crystals SrSi${}_2$ and BaSi${}_2$
• Strong electron-phonon coupling in 3D tungsten nitride and coexistence of intrinsic superconductivity and topological nodal line in its 2D limit
• Multiple types of unconventional quasiparticles in the chiral crystal CsBe${}_2$F${}_5$
• Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr${}_8$CoGa${}_3$ Family
• Quasiparticle interference and resonant states in normal and superconducting line nodal semimetals
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Two-dimensional Dirac nodal-line semimetal protected by symmetry
• A three-dimensional magnetic topological phase
• Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity
• Takagi Topological Insulator on the Honeycomb Lattice
• Colossal anomalous Nernst effect in a correlated noncentrosymmetric kagome ferromagnet
• Oscillations of magnetization in topological line-node semimetals
• Collective excitations and screening in two-dimensional tilted nodal-line semimetals
• Design triple points, nexus points and related topological phases by stacking monolayers
• Barrier tunneling of the Loop-Nodal Semimetal in the Hyperhoneycomb lattice
• Electronic properties of graphyne-$N$ monolayer and its multilayer: even-odd effect and topological nodal line semimetalic phases
• Graphite on graphite
• Mapping rules from nodal line semimetal to topological crystalline insulator in face centered cubic lattice
• Unconventional Topological Insulators from Extended Topological Band Degeneracies
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture
• Disorder induced dynamical interband response in Dirac nodal line semimetals
• Correlation stabilized ferromagnetic MnRuAs with distorted kagome lattice
• Fermi points and the Nambu sum rule in the polar phase of ${}^3$He
• Nodal-line semimetals and their variance
• Reshaping the anomalous Hall response in tilted 3D system with disorder correction
• Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity
• Simulation of nodal-line semimetal in amplitude-shaken optical lattices
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Hydrodynamic transport and violation of the viscosity-to-entropy ratio bound in nodal-line semimetals
• Competition-Induced Sign Reversal of Casimir-Lifshitz Torque: An Investigation on Topological Node-Line Semimetal
• Existence of nodal-arc and its evolution into Weyl-nodes in the presence of spin-orbit coupling in TaAs & TaP
• Interfaces of nodal-line semimetals: drum states, transport and refraction
• Topological Light Nodal Lines in FCC Lattice
• Sign reversal of magnetoresistivity in massive nodal-line semimetals due to Lifshitz transition of Fermi surface
• Finite size and volume effects in line node semimetals: a first-principles investigation
• Surface magnon spectra of nodal loop semimetals
• Topological Fermi-arc-like surface states in Kramers nodal line metals
• Cartesian Nodal Lines and Magnetic Kramers Weyl Nodes in Spin-Split Antiferromagnets
• Porous-B${}_{18}$: An Ideal Topological Semimetal with Symmetry-Enforced Orthogonal Nodal-Line and Nodal-Surface States
• Quantum Hall effect and optical magneto-conductivity of two-dimensional topological nodal-line semimetals
• Possible Spin-Density Wave on Fermi Arc of Edge State in Single-Component Molecular Conductors [Pt(dmdt)${}_2$] and [Ni(dmdt)${}_2$]
• Two-dimensional hourglass Weyl nodal loop in monolayer Pb(ClO${}_2$)${}_2$ and Sr(ClO${}_2$)${}_2$
• Disorder-induced instability of a Weyl nodal loop semimetal towards a diffusive topological metal with protected multifractal surface states
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Signature of topological crystalline insulating behavior in new B2X2Zn (X=Ir, Rh, Co) compound from first-principles Computation
• Topological materials with extensive flat-band surface states
• Conductivity scaling and absence of localization in disordered nodal line semimetals
• Tunable Dual-Type Weyl Points in Dirac-Weyl Semimetal CaAgBi
• Nodal-line semimetal superlattices
• Nodal lines in a honeycomb plasmonic crystal with synthetic spin
• Quasi-nodal lines in rhombohedral magnetic materials
• A first-principles investigation of Topological Phase Transition in face-centred cubic LiMgBi
• Essentially degenerate hidden nodal lines in two-dimensional magnetic layer groups
• Emergence of Type-I and Type-II Dirac line nodes in penta-octa-graphene
• Epitaxial antiperovskite/perovskite heterostructures for materials design
• New Nanoporous Graphyne Monolayer as Nodal Line Semimetal: Double Dirac Points with an Ultrahigh Fermi Velocity
• Large-Gap Quantum Anomalous Hall Effect in Monolayer Halide Perovskite
• Kramers nodal line in the charge density wave state of YTe${}_3$ and the influence of twin domains
• Pressure-induced superconductivity and topological phase transitions in the topological nodal-line semimetal SrAs3
• Fragment-orbital-dependent spin fluctuations in the single-component molecular conductor [Ni(dmdt)${}_2$]