Topological Semimetals Predicted from First-principles Calculations

Abstract

We have given a summary on our theoretical predictions of three kinds of topological semimetals (TSMs), namely, Dirac semimetal (DSM), Weyl semimetal (WSM) and Node-Line Semimetal (NLSM). TSMs are new states of quantum matters, which are different with topological insulators. They are characterized by the topological stability of Fermi surface, whether it encloses band crossing point, i.e., Dirac cone like energy node, or not. They are distinguished from each other by the degeneracy and momentum space distribution of the nodal points. To realize these intriguing topological quantum states is quite challenging and crucial to both fundamental science and future application. In 2012 and 2013, Na${}_3$Bi and Cd${}_3$As${}_2$ were theoretically predicted to be DSM, respectively. Their experimental verifications in 2014 have ignited the hot and intensive studies on TSMs. The following theoretical prediction of nonmagnetic WSM in TaAs family stimulated a second wave and many experimental works have come out in this year. In 2014, a kind of three dimensional crystal of carbon has been proposed to be NLSM due to negligible spin-orbit coupling and coexistence of time-reversal and inversion symmetry. Though the final experimental confirmation of NLSM is still missing, there have been several theoretical proposals, including Cu${}_3$PdN from us. In the final part, we have summarized the whole family of TSMs and their relationship.

A summary on Topological Semimetal, including three members and their relationship. Totally 58 pages and 26 figures. Manuscript finished at the beginning of January 2016

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Cited by in corpus (174)

• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
• Topological Semimetals from first-principles
• Topological Nodal Line Semimetals in CaP3 family of materials
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
• Topological semimetals with double-helix nodal link
• Light control with Weyl semimetals
• Symmetry Demanded Topological Nodal-line Materials
• From Nodal Chain Semimetal To Weyl Semimetal in HfC
• Giant tunable nonreciprocity of light in Weyl semimetals
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Quantum Transport in Topological Semimetals under Magnetic Fields
• First Principles Calculations for Topological Quantum Materials
• Theoretical Prediction of Two-Dimensional Functionalized MXene Nitrides as Topological Insulators
• Type-II Weyl cone transitions in driven semimetals
• Non-topological Origin of the Planar Hall Effect in Type-II Dirac Semimetal NiTe2
• Observation of Dirac-like energy band and ring-torus Fermi surface associated with the nodal line in topological insulator CaAgAs
• Mirror Chern Bands and Weyl Nodal Loops in Altermagnets
• Three-component bosons in TiS, ZrSe and HfTe
• Coexisted Three-component Bosons and Two-component Weyl Bosons in TiS, ZrSe and HfTe
• Minimal models for topological Weyl semimetals
• Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal MonoChalcogenides
• Discovery of Weyl nodal lines in a single-layer ferromagnet
• Magnetic semimetals and quantized anomalous Hall effect in EuB6
• Extremely large magnetoresistance and Kohler's rule in PdSn4: a complete study of thermodynamic, transport and band structure properties
• Giant Intrinsic Spin Hall Effect in W${}_3$Ta and other A15 Superconductors
• Optical Signatures of Dirac Nodal-lines in NbAs${}_2$
• Topological nodal states in circuit lattice
• Magnetotransport properties of the triply degenerate node topological semimetal tungsten carbide
• Topological responses from chiral anomaly in multi-Weyl semimetals
• Discovery of Log-Periodic Oscillations in Ultra-Quantum Topological Materials
• Triply degenerate nodal points in RERh${}_6$Ge${}_4$ (RE=Y, La, Lu)
• Manipulation of type-I and type-II Dirac points in PdTe2 superconductor by external pressure
• Quantum Oscillations and Coherent Interlayer Transport in a New Topological Dirac Semimetal Candidate: YbMnSb${}_2$
• Spinless hourglass nodal-line semimetals
• Topological nodal-line semimetals in ferromagnetic rare-earth-metal monohalides
• Ideal type-II Weyl phonons in wurtzite CuI
• Terahertz Probe of Photoexcited Carrier Dynamics in Dirac Semimetal Cd3As2
• Floquet Weyl semimetals in light-irradiated type-II and hybrid line-node semimetals
• Ultrafast Relaxation Dynamics of Photoexcited Dirac Fermion in The Three Dimensional Dirac Semimetal Cadmium Arsenide
• Pseudospin Vortex Ring with a Nodal Line in Three Dimensions
• Photovoltaic anomalous Hall effect in line-node semimetals
• Chiral Landau levels in Weyl semimetal NbAs with multiple topological carriers
• Experimental observation of bulk nodal lines and electronic surface states in ZrB${}_2$
• Anomalous Dirac Plasmons in 1D Topological Electrides
• Hourglass-like Nodal Net Semimetal in Ag2BiO3
• Strain-engineering the topological type-II Dirac semimetal NiTe${}_2$
• Crossing-Line-Node Semimetals: General Theory and Application to Rare-Earth Trihydrides
• Strain-induced quantum topological phase transitions in Na3Bi
• Flat AgTe Honeycomb Monolayer with Topologically Nontrivial States
• Tunable Electronic Structure and Surface States in Rare Earth Mono-Bismuthides with Partially Filled f Shell
• Proposal for detecting nodal-line semimetal surface-states with resonant spin-flipped reflection
• Topological semimetal in honeycomb lattice LnSI
• Prediction of Ideal Topological Semimetals with Triply Degenerate Points in NaCu${}_3$Te${}_2$ Family
• Heavy Weyl fermion state in CeRu${}_4$Sn${}_6$
• Weyl points and Dirac lines protected by multiple screw rotations
• Coexistence of Tunable Weyl Points and Topological Nodal Lines in Ternary Transition-Metal Telluride TaIrTe4
• Magnetic and electronic properties of a topological nodal line semimetal candidate: HoSbTe
• Stability of Weyl points in magnetic half-metallic Heusler compounds
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Pressure-induced topological phase transition in LaSb: First-principles study
• Disorder Effects in Topological States -- Brief Review of the Recent Developments
• Pseudo Dirac Nodal Sphere: Unusual Electronic Structure and Material Realization
• Pressure-tunable large anomalous Hall effect of the ferromagnetic kagome-lattice Weyl semimetal Co3Sn2S2
• Degenerate topological line surface phonons in quasi-1D double helix crystal SnIP
• Dirac semimetal phase in the hexagonal LiZnBi
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Observation of a Dirac nodal line in AlB2
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Observation of topological nodal-line semimetal in YbMnSb2 through optical spectroscopy
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Electron Transport in Dirac and Weyl Semimetals
• Quantum Transport in Topological Semimetals under Magnetic Fields (II)
• Mirror Protected Multiple Nodal Line Semimetals and Material Realization
• Topological density-wave states in a particle-hole symmetric Weyl metal
• Quantum oscillations in acoustic phonons in Weyl semimetals
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• Weak antilocalization in a noncentrosymmetric CaAgBi single crystal
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• Nearly triple nodal point topological phase in half-metallic GdN
• Torsional Responses and Liouville Anomaly in Weyl Semimetals with Dislocations
• Electronic properties of SnTe-class topological crystalline insulator materials
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities
• Topological Phase Transition in a Magnetic Weyl Semimetal
• Noncentrosymmetric topological Dirac semimetals in three dimensions
• Multiple band-crossings and Fermi surface topology: role of double nonsymmorphic symmetries in MnP-type crystal structures
• Triple point semimetal and topological phase transitions in NaCu${}_3$Te${}_2$
• Evidence for bulk nodal loops and universality of Dirac-node arc surface states in ZrGeXc (Xc = S, Se, Te)
• Ferromagnetic van der Waals compound MnSb${}_{1.8}$Bi${}_{0.2}$Te${}_4$
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Signature of weakly coupled $f$ electrons and conduction electrons in magnetic Weyl semimetal candidates PrAlSi and SmAlSi
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• Numerical Study of Universal Conductance Fluctuation in Three-dimensional Topological Semimetals
• Perovskite-type YRh${}_3$B with multiple types of nodal point and nodal line states
• Surface Charge Induced Dirac Band Splitting in a Charge Density Wave Material (TaSe4)2I
• High-pressure phases of Weyl semimetals NbP, NbAs, TaP and TaAs
• From Dirac semimetals to topological phases in three dimensions: a coupled wire construction
• Weyl nodal point-line Fermion in ferromagnetic Eu${}_5$Bi${}_3$
• Emergence of topological electronic phases in elemental lithium under pressure
• Topological phases in pyrochlore thallium niobate Tl${}_2$Nb${}_2$O${}_{6+x}$
• Magneto-transport and Electronic Structures of BaZnBi${}_2$
• Evolution of Band Topology by Competing Band Overlap and Spin-Orbit Coupling: Twin Dirac Cones in Ba${}_3$SnO as a Prototype
• Gate-dependent non-linear Hall effect at room temperature in topological semimetal GeTe
• Topological Semimetal features in the Multiferroic Hexagonal Manganites
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Probing the Origin of Extreme Magnetoresistance in Pr/Sm Mono-Antimonides/Bismuthides
• Observation of Gapped Topological Surface States and Isolated Surface Resonances in PdTe${}_2$ Ultrathin Films
• Magnetotransport properties of the layered CaAl2Si2 semimetal hosting multiple nontrivial topological states
• Weyl Semimetals with $S_4$ symmetry
• Magnetic properties of Type I and II Weyl Superconductors
• Superconductivity in unconventional metals
• Hot electron cooling in Dirac semimetal Cd${}_3$As${}_2$ due to polar optical phonons
• Multiple Dirac Nodes and Symmetry Protected Dirac Nodal Line in Orthorhombic $\alpha$-RhSi
• Pressure-induced creation and annihilation of Weyl points in Td- and 1T"-Mo0.5W0.5Te2
• Topologically Nontrivial Interband Plasmons in Type-II Weyl Semimetal MoTe${}_2$
• Type I superconductivity in Dirac materials
• Weak Antilocalization and topological edge states in PdSn${}_4$
• Chemical Rules for Stacked Kagome and Honeycomb Topological Semimetals
• Structure, physical properties, and magnetically tunable topological phases in topological semimetal EuCuBi
• Zitterbewegung in time-reversal Weyl Semimetals
• Phase transition with trivial quantum criticality in anisotropic Weyl semimetal
• Dynamical gap generation in 2D Dirac semimetal with deformed Dirac cone
• Symmetrical broken and nonlinear response of Weyl semimetal TaAs influenced by the topological surface states and Weyl nodes
• Novel Family of Topological Semimetals with Butterfly-like Nodal Lines
• Magnetotransport properties of the new-type topological semimetal ZrTe
• Strain-induced topological charge control in multifold fermion systems
• WloopPHI: A tool for ab initio characterization of Weyl semimetals
• Superconductivity in the nodal-line compound La${}_3$Pt${}_3$Bi${}_4$
• Longitudinal DC Conductivity in Dirac Nodal Line Semimetals: Intrinsic and Extrinsic Contributions
• Large Fermi-arc and robust Weyl semimetal phase in Ag${}_2$S
• Two-dimensional Dirac semiconductor and its material realization
• Electronic structure and open-orbit Fermi surface topology in isostructural semimetals NbAs${}_2$ and W${}_2$As${}_3$ with extremely large magnetoresistance
• Topological Dirac Semimetal Phase in Bismuth Based Anode Materials for Sodium-Ion Batteries
• Many-body effects in nodal-line semimetals: correction to the optical conductivity
• Dispersive Drumhead States in Nodal-Line Semimetal Junctions
• Renormalization Group Approach to Stability of Two-dimensional Interacting Type-II Dirac Fermions
• BaHgSn: A Dirac semimetal with surface hourglass fermions
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Possible instabilities in quadratic and cubic nodal line fermion systems with correlated interactions
• Highly Mobile Carriers in a Candidate of Quasi-Two-Dimensional Topological Semimetal AuTe${}_2$Br
• Type-II Dirac line node in strained Na3N
• Interlocking nodal chains and their examples in carbon networks
• Topological Fermi-arc surface resonances in bcc iron
• Prediction of $\mathrm{TiRhAs}$ as a Dirac Nodal Line Semimetal via First-Principles Calculations
• Altermagnetic Weyl node-network semimetals protected by spin symmetry
• Optical study of three-dimensional Weyl semimetal Mn${}_3$Sn
• Universal Metallic Surface States in Electride
• Tetragonal Mexican-Hat Dispersion and Switchable Half-Metal State with Multiple Anisotropic Weyl Fermions in Penta-Graphene
• Reentrant proximity-induced superconductivity for GeTe semimetal
• Crossing points of nodal lines in topological semimetals and Fermi surface of ZrSiS
• Exploration of Altermagnetism in $\mathrm{Ru}{\mathrm{O}}_2$
• Ultrafast relaxation of acoustic and optical phonons in a topological nodal-line semimetal ZrSiS
• Two-dimensional Dirac nodal-line semimetal protected by symmetry
• Parallel and anti-parallel helical surface states for topological semimetals
• Two-dimensional Dirac semimetals with tunable edge states
• Quantum critical phenomena of the excitonic insulating transition in two dimensions
• Fate of superconductivity in disordered Dirac and semi-Dirac semimetals
• Strain-induced pseudomagnetic and scalar fields in symmetry-enforced Dirac nodes
• Fermi Level Fluctuations, Reduced Effective Masses and Zeeman Effect during Quantum Oscillations in Nodal Line Semimetals
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Crystalline electric field excitations in Weyl semimetal \textit{R}AlSi (\textit{R} = Ce, Pr and Nd)
• Realization of multiple topological states and topological phase transitions in (4,0) carbon nanotube derivatives
• Zone-selection effect of photoelectron intensity distributions in a nonsymmorphic system RAlSi (R : Ce and Nd)
• Bipolarized Weyl semimetals and quantum crystal valley Hall effect in two-dimensional altermagnetic materials
• Epitaxial fabrication of AgTe monolayer on Ag(111) and the sequential growth of Te film
• Magnetic susceptibility of crystals with crossing of their band-contact lines
• Emergence of Double-Dome Superconductivity in the Pressurized Dirac Semimetal BaMg2Bi2
• Aslamazov Larkin Conductivity in Weyl Semimetals
• Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model
• Real-space visualization of quasiparticle dephasing near the Planckian limit in the Dirac line node material ZrSiS
• New Nanoporous Graphyne Monolayer as Nodal Line Semimetal: Double Dirac Points with an Ultrahigh Fermi Velocity
• Quasi-nodal lines in rhombohedral magnetic materials