Systematic investigation of emergent particles in type-III magnetic space groups

Abstract

In three-dimensional (3D) crystals, emergent particles arise when two or multiple bands contact and form degeneracy (band crossing) in the Brillouin zone. Recently a complete classification of emergent particles in 3D nonmagnetic crystals, which described by the type-II magnetic space groups (MSGs), has been established. However, a systematic investigation of emergent particles in magnetic crystals has not yet been performed, due to the complexity of the symmetries of magnetically ordered structures. Here, we address this challenging task by exploring the possibilities of the emergent particles in the 674 type-III MSGs. Based on effective k.p Hamiltonian and our classification of emergent particles [Yu et al., Sci. Bull. 67, 375 (2022) DOI:10.1016/j.scib.2021.10.023], we identify all possible emergent particles, including spinful and spinless, essential and accidental particles in the type-III MSGs. We find that all emergent particles in type-III MSGs also exist in type-II MSGs, with only one exception, i.e. the combined quadratic nodal line and nodal surface (QNL/NS). Moreover, tabulations of the emergent particles in each of the 674 type-III MSGs, together with the symmetry operations, the small corepresentations, the effective k.p Hamiltonians, and the topological character of these particles, are explicitly presented. Remarkably, combining this work and our homemade SpaceGroupIrep and MSGCorep packages will provide an effcient way to search topological magnetic materials with novel quasiparticles.

arXiv comment8 pages, 1 figure, 3 tables

References in corpus (49)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Classification of topological quantum matter with symmetries
• Type-II Weyl Semimetals
• 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
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Magnetic Weyl Semimetal Phase in a Kagome Crystal
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Dirac Semimetals in Two Dimensions
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S2
• Large intrinsic anomalous Hall effect in half-metallic ferromagnet Co3Sn2S2 with magnetic Weyl fermions
• Nodal-chain metals
• Double Dirac Semimetals in Three Dimensions
• Nodal surface semimetals: Theory and material realization
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Triple Point Topological Metals
• Nodal-link semimetals
• Dirac Fermions in Antiferromagnetic Semimetal
• Predicted Unusual Magnetoresponse in Type-II Weyl Semimetals
• Topological surface Fermi arcs in the magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems
• Type-II nodal loops: theory and material realization
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Nodal-knot semimetals
• Chiral anomaly, dimensional reduction, and magnetoresistivity of Weyl and Dirac semimetals
• Quantum Transport in Topological Semimetals under Magnetic Fields
• Quadratic and Cubic Nodal Lines Stabilized by Crystalline Symmetry
• Type-III Weyl Semimetals: (TaSe4)2I
• Magnetic semimetals and quantized anomalous Hall effect in EuB6
• MagneticTB: A package for tight-binding model of magnetic and non-magnetic materials
• Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects
• Loop-nodal and Point-nodal Semimetals in Three-dimensional Honeycomb Lattices
• Exhaustive constructions of effective models in 1651 magnetic space groups
• Type-I and type-II Nodal Lines Coexistence in the Antiferromagnetic monolayer CrAs${}_2$
• Magnetic higher-order nodal lines
• Hourglass-like Nodal Net Semimetal in Ag2BiO3
• Charge-4 Weyl point: Minimum lattice model and chirality-dependent properties
• SpaceGroupIrep: A package for irreducible representations of space group
• Antiferromagnetic Topological Nodal Line Semimetals
• Mirror Protected Multiple Nodal Line Semimetals and Material Realization
• MSGCorep: A package for corepresentations of magnetic space groups

Cited by in corpus (29)

• Enumeration of spin-space groups: Towards a complete description of symmetries of magnetic orders
• Catalog of Unconventional Magnons in Collinear Magnets
• In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials
• Encyclopedia of emergent particles in type-IV magnetic space groups
• Complete classification of band nodal structures
• Two-dimensional Topological Ferroelectric Metal with Giant Shift Current
• Single Pair of Weyl Points in Nonmagnetic Crystals
• Symmetry invariants and classes of quasiparticles in magnetically ordered systems having weak spin-orbit coupling
• Encyclopedia of emergent particles in 528 magnetic layer groups and 394 magnetic rod groups
• Quasi-one-dimensional spin transport in altermagnetic $Z^3$ nodal net metals
• Third-order charge transport in a magnetic topological semimetal
• Triple nodal points characterized by their nodal-line structure in all magnetic space groups
• Group Theory on Quasisymmetry and Protected Near Degeneracy
• Plasmons in a two-dimensional nonsymmorphic nodal-line semimetal
• Landau level spectrum and magneto-optical conductivity in tilted Weyl semimetal
• Magnetic hourglass fermions: from exhaustive symmetry conditions to high-throughput materials predictions
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Two-dimensional half Chern-Weyl semimetal with multiple screw axes
• Classification of Weyl points and nodal lines based on magnetic point groups for spin-$\frac{1}{2}$ quasiparticles
• Altermagnetic Weyl node-network semimetals protected by spin symmetry
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Electronic structures near unmovable nodal points and lines in two-dimensional materials
• Existence of Mexican-hat dispersion and symmetry group of a layer
• Low-Frequency Divergence of Circular Photomagnetic Effect in Topological Semimetals
• Movable but unavoidable nodal lines through high-symmetry points in two-dimensional materials
• High-chirality and multiquaternion Weyl nodes in hexagonal ReO${}_3$
• Realization of Hopf-link structure in phonon spectra: Symmetry guidance and High-throughput investigation
• Triply degenerate nodal line and tunable contracted-drumhead surface state in a tight-binding model
• ToMSGKpoint: A user-friendly package for computing symmetry transformation properties of electronic eigenstates of nonmagnetic and magnetic crystalline materials