Route Towards Dirac and Weyl Antiferromagnetic Spintronics

Abstract

Topological quantum matter and spintronics research have been developed to a large extent independently. In this Review we discuss a new role that the antiferromagnetic order has taken in combining topological matter and spintronics. This occurs due to the complex microscopic symmetries present in antiferromagnets that allow, e.g., for topological relativistic quasiparticles and the newly discovered Néel spin-orbit torques to coexist. We first introduce the concepts of topological semimetals and spin-orbitronics. Secondly, we explain the antiferromagnetic symmetries on a minimal Dirac semimetal model and the guiding role of $\text{ab initio}$ calculations in predictions of examples of Dirac, and Weyl antiferromagnets: SrMnBi${}_{\text{2}}$, CuMnAs, and Mn${}_{\text{3}}$Ge. Lastly, we illustrate the interplay of Dirac quasiparticles, topology and antiferromagnetism on: (i) the experimentally observed quantum Hall effect in EuMnBi${}_{\text{2}}$, (ii) the large anomalous Hall effect in Mn${}_{\text{3}}$Ge, and (iii) the theoretically predicted topological metal-insulator transition in CuMnAs.

arXiv comment17 pages, 11 figures, review

References in corpus (87)

• Electric Field Effect in Atomically Thin Carbon Films
• Topological Insulators
• Quantum Spin Hall Effect in Graphene
• Anomalous Hall effect
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Topological Insulators in Three Dimensions
• Spin torque switching with the giant spin Hall effect of tantalum
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Antiferromagnetic spintronics
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Spin Transfer Torques
• Dirac semimetal in three dimensions
• Titanic Magnetoresistance in WTe2
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Electrical switching of an antiferromagnet
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Spin Transfer Torque Generated by the Topological Insulator Bi_2Se_3
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Topological response in Weyl semimetals and the chiral anomaly
• Topological nodal line semimetals with and without spin-orbital coupling
• Large anomalous Hall effect driven by non-vanishing Berry curvature in non-collinear antiferromagnetic Mn3Ge
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Anomalous Hall effect arising from noncollinear antiferromagnetism
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Dirac Semimetals in Two Dimensions
• Topological Semimetals
• Room-temperature antiferromagnetic memory resistor
• Antiferromagnetic topological insulators
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
• Topological Hall effect and Berry phase in magnetic nanostructures
• Evidence for reversible control of magnetization in a ferromagnetic material via spin-orbit magnetic field
• Relativistic Neel-order fields induced by electrical current in antiferromagnets
• Z2Pack: Numerical Implementation of Hybrid Wannier Centers for Identifying Topological Materials
• Weyl semimetal with broken time reversal and inversion symmetries
• Topological Weyl semimetals in the chiral antiferromagnetic materials Mn3Ge and Mn3Sn
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Non-collinear Antiferromagnets and the Anomalous Hall Effect
• Time-Reversal-Breaking Weyl Fermions in Magnetic Heusler Alloys
• Giant Anomalous Hall Effect in the Chiral Antiferromagnet Mn3Ge
• Double Dirac Semimetals in Three Dimensions
• Strong, anisotropic anomalous Hall effect and spin Hall effect in chiral antiferromagnetic compounds Mn${}_{3}X$ ($X$ = Ge, Sn, Ga, Ir, Rh and Pt)
• Orbital ferromagnetism and anomalous Hall effect in antiferromagnets on distorted fcc lattice
• Dirac Fermions in Antiferromagnetic Semimetal
• Topological superconductivity on the surface of Fe-based superconductors
• Anisotropic Dirac fermions in a Bi square net of SrMnBi2
• Topological insulators and metal-insulator transition in the pyrochlore iridates
• Giant intrinsic spin Hall effect in the TaAs family of Weyl semimetals
• Quantum Hall effect in a bulk antiferromagnet EuMnBi${}_2$ with magnetically confined two-dimensional Dirac fermions
• Magnetic ground state of FeSe
• Quadratic Fermi Node in a 3D Strongly Correlated Semimetal
• Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7
• Tailoring Exchange Couplings in Magnetic Topological Insulator/Antiferromagnet Heterostructures
• Spin-orbit torques in locally and globally non-centrosymmetric crystals: Antiferromagnets and ferromagnets
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Spin-dependent phenomena and device concepts explored in (Ga,Mn)As
• Are the double Fermi arcs of Dirac semimetals topologically protected?
• Quantum transport of two-dimensional Dirac fermions in SrMnBi2
• The quantum origins of skyrmions and half-skyrmions in Cu2OSeO3
• Anisotropic Dirac electronic structures of AMnBi${}_2$ (A=Sr, Ca)
• Magneto-optical signature of massless Kane electrons in Cd3As2
• Room-temperature spin-orbit torque in NiMnSb
• Topological semimetals protected by off-centered symmetries in nonsymmorphic crystals
• Visualizing "Fermi arcs" in the Weyl semimetal TaAs
• Topological Insulators with Commensurate Antiferromagnetism
• Metal-insulator transition and topological properties of pyrochlore iridates
• Direct and inverse spin-orbit torques
• Coupling of magnetic order to planar Bi electrons in the anisotropic Dirac metals AMnBi2 (A = Sr, Ca)
• Phase diagram of pyrochlore iridates: all-in-all-out magnetic ordering and non-Fermi liquid properties
• First-principles calculations of magnetization relaxation in pure Fe, Co, and Ni with frozen thermal lattice disorder
• Interplay of Dirac electrons and magnetism in AMnBi2 (A=Ca, Sr)
• Linear magnetoresistance in a quasi-free two dimensional electron gas in an ultra-high mobility GaAs quantum well
• It has been a Weyl coming
• Anomalous Hall effect in the noncollinear antiferromagnet Mn5Si3
• Electron interactions, spin-orbit coupling, intersite correlations in pyrochlore iridates
• Field-free, spin-current control of magnetization in non-collinear chiral antiferromagnets
• Heart and diamond Fermi arcs in Pd and Pt oxide topological Dirac semimetals
• Superconductivity and Dirac Fermions in 112-phase Pnictides
• Time-reversal-breaking topological phases in antiferromagnetic Sr${}_2$FeOsO${}_6$ films

Cited by in corpus (35)

• Antiferromagnetic spintronics
• Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries
• Chemical Principles of Topological Semimetals
• Light control with Weyl semimetals
• Topological electronic structure and intrinsic magnetization in MnBi${}_4$Te${}_7$: a Bi${}_2$Te${}_3$-derivative with a periodic Mn sublattice
• The study of magnetic topological semimetals by first principles calculations
• Perspective on Metallic Antiferromagnets
• Dirac nodal line metal for topological antiferromagnetic spintronics
• Nonsaturating magnetoresistance, anomalous Hall effect, and magnetic quantum oscillations in ferromagnetic semimetal PrAlSi
• Evaluation of spin diffusion length and spin Hall angle of antiferromagnetic Weyl semimetal Mn${}_3$Sn
• Bulk quantum Hall effect of spin-valley-coupled Dirac fermions in a polar antiferromagnet BaMnSb${}_2$
• Magnetic and electronic structure of Dirac semimetal candidate EuMnSb${}_2$
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Impact of antiferromagnetic order on Landau level splitting of quasi-two-dimensional Dirac fermions in EuMnBi${}_2$
• Molecular Beam Epitaxy Growth of Antiferromagnetic Kagome Metal FeSn
• Pressure-induced ferromagnetism in the topological semimetal EuCd${}_2$As${}_2$
• Magnetoelectric control of topological phases in graphene
• Piezospintronic effect in honeycomb antiferromagnets
• Magnetic structures, spin-flop transition and coupling of Eu and Mn magnetism in the Dirac semimetal EuMnBi${}_2$
• Physical properties of the tetragonal CuMnAs: a first-principles study
• Unraveling the influence of electronic and magnonic spin current injection near the magnetic ordering transition of IrMn metallic antiferromagnets
• Topological spin texture of chiral edge states in photonic two-dimensional quantum walks
• Quantum Anomalous Hall Effect and Anderson Chern Insulating Regime in Noncollinear Antiferromagnetic 3Q State
• Epitaxial growth, magnetoresistance, and electronic band structure of GdSb magnetic semimetal films
• Tetragonal CuMnAs alloy: role of defects
• The stability and physical properties of the tetragonal phase of bulk CuMnAs antiferromagnet
• Light-induced Dzyaloshinskii-Moriya interactions in antiferromagnetic metals
• Voltage induced switching of an antiferromagnetically ordered topological Dirac semimetal
• Topological antiferromagnetic spintronics: Part of a collection of reviews on antiferromagnetic spintronics
• Antiferromagnetism and spin density waves in 3D Dirac semimetals
• Interplay of magnetism and band topology in Eu${}_{1-x}$Ca${}_x$Mg${}_2$Bi${}_2$ (x=0, 0.5) from first principles study
• Impact of thermal fluctuations on transport in antiferromagnetic semimetals
• Moiré spintronics: Emergent phenomena, material realization and machine learning accelerating discovery
• Ultrafast electron-phonon scattering in antiferromagnetic Dirac semimetals