Starfruit-like nodal semimetal to Dirac and Weyl semimetal state in CaAuAs

Abstract

Band-crossings occurring on a mirror plane are compelled to form a nodal loop in the momentum space without spin-orbit coupling (SOC). In the presence of other equivalent mirror planes, multiple such nodal loops can combine to form interesting nodal-link structures. Here, based on first-principles calculations and an effective $k.p$ model analysis, we show that CaAuAs hosts a unique starfruit-like nodal-link structure in the bulk electronic dispersion in the absence of SOC. This nodal-link is comprised of three nodal loops, which cross each other at the time-reversal-invariant momentum point $A$. When the SOC is turned on, the nodal loops are gapped out, resulting in a stable Dirac semimetal state with a pair of Dirac points along the $\mathrm{\Gamma }-\mathrm{A}$ direction in the Brillouin zone. The Dirac points are protected by the combination of time reversal, inversion, and $C_3$ rotation symmetries. We show how a systematic elimination of the symmetry constraints yields a Weyl semimetal and eventually a topological insulator state.

arXiv comment8 pages, 5 figures

References in corpus (51)

• Topological Insulators
• Maximally-localized generalized Wannier functions for composite energy bands
• Weyl and Dirac Semimetals in Three Dimensional Solids
• 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)
• Dirac semimetal in three dimensions
• Experimental discovery of Weyl semimetal TaAs
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Colloquium: Topological Band Theory
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• 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 Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Topological nodal line semimetals
• Dirac Semimetals in Two Dimensions
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Nodal-chain metals
• Topological nodal-line fermions in ZrSiSe and ZrSiTe
• Observation of Topological Nodal Fermion Semimetal Phase in ZrSiS
• Spin-orbit-free Weyl-loop and Weyl-point semimetals in a stable three-dimensional carbon allotrope
• Double Dirac Semimetals in Three Dimensions
• Classification of reflection symmetry protected topological semimetals and nodal superconductors
• Potential ring of Dirac nodes in a new polymorph of Ca${}_3$P${}_2$
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Large nonsaturating magnetoresistance and signature of non-degenerate Dirac nodes in ZrSiS
• Nodal-link semimetals
• Line-Node Dirac Semimetal and Topological Insulating Phase in Noncentrosymmetric Pnictides CaAgX (X = P, As)
• Topological Hopf and chain link semimetal states and their application to Co2MnGa (Theory and Materials Prediction)
• Dirac node lines in pure alkali earth metals
• Long-range Coulomb interaction in nodal-ring semimetals
• Coexistence of four-band nodal rings and triply-degenerate nodal points in centrosymmetric metal diborides
• Topological electronic structure and Weyl semimetal in the TlBiSe${}_2$ class of semiconductors
• Tunable Line Node Semimetals
• Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• Classification of stable Dirac and Weyl semimetals with reflection and rotational symmetry
• A Family Group of Two-dimensional Node-Line Semimetals
• Crossing-Line-Node Semimetals: General Theory and Application to Rare-Earth Trihydrides
• Observation of Effective Pseudospin Scattering in ZrSiS
• Saddle-like topological surface states on the TT'X family of compounds (T, T' = Transition metal, X= Si, Ge)

Cited by in corpus (15)

• Jones polynomial and knot transitions in topological semimetals
• Non-abelian topology of nodal-line rings in $\mathcal{P}\mathcal{T}$-symmetric systems
• A novel undamped gapless plasmon mode in tilted type-II Dirac semimetal
• Prediction of three-fold fermions in a nearly-ideal Dirac semimetal BaAgAs
• Observation of inverted band structure in topological Dirac-semimetal candidate CaAuAs
• Symmetry driven topological phases in XAgBi (X=Ba,Sr): An Ab-initio hybrid functional calculations
• Weak antilocalization effect and triply degenerate state in Cu-doped CaAuAs
• Large nonsaturating magnetoresistance, weak anti-localization and non-trivial topological states in SrAl${}_2$Si${}_2$
• Anisotropic non-linear optical response of nodal loop materials
• Magnetotransport Properties and Fermi Surface Topology of Nodal line Semimetal InBi
• Weak antilocalization and Shubnikov-de Haas oscillations in CaCuSb single crystal
• Topological nonsymmorphic insulator versus Dirac semimetal in KZnBi
• Layered Topological Antiferromagnetic Metal at Room Temperature -- YbMn${}_2$Ge${}_2$
• Role of effective mass anisotropy in realizing a hybrid nodal-line fermion state
• Magnetically tunable Dirac and Weyl fermions in the Zintl materials family