Twofold quadruple Weyl nodes in chiral cubic crystals

Abstract

Conventional Weyl nodes are twofold band crossings that carry a unit monopole charge, which can exist in condensed matter systems with the protection of translation symmetry. Unconventional Weyl nodes are twofold/multifold band crossings carrying a quantized monopole charge larger than one, and their existence needs the protection of additional crystalline symmetries. Studies on unconventional Weyl nodes are already very comprehensive, such as twofold Weyl nodes with Chern number of C=2/C=3 and fourfold/sixfoldWeyl nodes with C=4. Yet in this paper, we propose a newfound twofold unconventional Weyl node with C=4, which can exist in any chiral cubic systems with integer spin. Such kind of twofold quadruple Weyl node has a cubic band dispersion along [111] direction and will evolve into a fourfold quadruple Weyl node after considering spin-orbit coupling. In this paper, we exhaust all the possible chiral cubic space groups and corresponding k-points, which can have twofold quadruple Weyl nodes. We also propose a series of LaIrSi-type materials that both have twofold quadruple Weyl nodes in electronic systems and the phonon spectra.

arXiv comment11 pages, 9 figures

References in corpus (55)

• Maximally-localized generalized Wannier functions for composite energy bands
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Experimental discovery of Weyl semimetal TaAs
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Experimental observation of Weyl points
• Discovery of a Weyl Fermion semimetal state in NbAs
• Topological response in Weyl semimetals and the chiral anomaly
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Quantized circular photogalvanic effect in Weyl semimetals
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• Computing topological invariants without inversion symmetry
• Topological quantum properties of chiral crystals
• Multiple types of topological fermions in transition metal silicides
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
• Double Dirac Semimetals in Three Dimensions
• Double-Weyl phonons in transition-metal monosilicides
• Observation of Fermi Arcs in Type-II Weyl Semimetal Candidate WTe2
• Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
• Triple Point Topological Metals
• Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
• Observation of Topological Photocurrents in the Chiral Weyl Semimetal RhSi
• Spectroscopic Evidence of Type II Weyl Semimetal State in WTe2
• Observation of Double Weyl Phonons in Parity-Breaking FeSi
• Chiral Optical Response of Multifold Fermions
• Observation of Large Topologically Trivial Fermi-Arcs in the Candidate Type-II Weyl Semimetal WTe2
• When chiral photons meet chiral fermions - Photoinduced anomalous Hall effects in Weyl semimetals
• Observation and control of maximal Chern numbers in a chiral topological semimetal
• Spatially dispersive circular photogalvanic effect in a Weyl semimetal
• The chiral anomaly factory: Creating Weyl fermions with a magnetic field
• Topological phonons and Weyl lines in 3 dimensions
• Composite Weyl nodes stabilized by screw symmetry with and without time reversal
• Photogalvanic effect in Weyl semimetals
• Symmetry-Enforced Weyl Phonons
• Higher-order Dirac fermions in three dimensions
• Multi Weyl Points and the Sign Change of Their Topological Charges in Woodpile Photonic Crystals
• Correlated double-Weyl semimetals with Coulomb interactions: possible applications to HgCr2Se4 and SrSi2
• Global band topology of simple and double Dirac-point (semi-)metals
• Observation of multiple types of topological fermions in PdBiSe
• Hear the Sound of Weyl Fermions
• Ultraquantum magnetoresistance in single-crystalline $\beta$-Ag${}_2$Se
• Ultraquantum magnetoresistance in Kramers Weyl semimetal candidate $\beta$-Ag2Se
• Weyl points and Dirac lines protected by multiple screw rotations
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
• Superconductivity in Hexagonal BaPtAs: SrPtSb- and YPtAs-type Structures with Ordered Honeycomb Network
• Giant magnetic quantum oscillations in the thermal conductivity of TaAs: Indications of chiral zero sound

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• Topological correspondence between magnetic space group representations
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• Topological effects of phonons in GaN and AlxGa1-xN: A potential perspective for tuning phonon transport
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• Observation of a Chiral Wave Function in Twofold Degenerate Quadruple Weyl System BaPtGe
• Chern numbers of topological phonon band crossing determined with inelastic neutron scattering
• Weyl Phonons: The connection of topology and chirality
• Bulk-edge correspondence of Stiefel-Whitney and Euler insulators through the entanglement spectrum and cutting procedure
• Observation of Single Pair of Type-III Weyl Points in Sonic Crystals
• Chiralities of nodal points along high symmetry lines with screw rotation symmetry
• Landau level spectrum and magneto-optical conductivity in tilted Weyl semimetal
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Photogalvanic response in multi-Weyl semimetals
• Chiral topological metals with multiple types of quasiparticle fermions and large spin Hall effect in the SrGePt family materials
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• Giant Chern number of a Weyl nodal surface without upper limit
• $Z_2$ Dirac points with topologically protected multihelicoid surface states
• Parallel and anti-parallel helical surface states for topological semimetals
• Topological Enhancement of Nonlinear Transports in Unconventional Point-Node Semimetals
• Topological charge Fano effect in multi-Weyl semimetals
• Coexistent topological and chiral phonons in chiral RhGe: An ab initio study
• Unveiling the Chiral States in Multi-Weyl Semimetals through Magneto-Optical Spectroscopy
• Unconventional Weyl exceptional contours in non-Hermitian photonic continua
• Magnetic Photocurrents in Multifold Weyl Fermions
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
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