Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries

Abstract

The search for novel magnetic quantum phases, phenomena and functional materials has been guided by relativistic magnetic-symmetry groups in coupled spin and real space from the dawn of the field in 1950s to the modern era of topological matter. However, the magnetic groups cannot disentangle non-relativistic phases and effects, such as the recently reported unconventional spin physics in collinear antiferromagnets from the typically weak relativistic spin-orbit coupling phenomena. Here we discover that more general spin symmetries in decoupled spin and crystal space categorize non-relativistic collinear magnetism in three phases: conventional ferromagnets and antiferromagnets, and a third distinct phase combining zero net magnetization with an alternating spin-momentum locking in energy bands, which we dub "altermagnetic". For this third basic magnetic phase, which is omitted by the relativistic magnetic groups, we develop a spin-group theory describing six characteristic types of the altermagnetic spin-momentum locking. We demonstrate an extraordinary spin-splitting mechanism in altermagnetic bands originating from a local electric crystal field, which contrasts with the conventional magnetic or relativistic splitting by global magnetization or inversion asymmetry. Based on first-principles calculations, we identify altermagnetic candidates ranging from insulators and metals to a parent crystal of cuprate superconductor. Our results underpin emerging research of quantum phases and spintronics in high-temperature magnets with light elements, vanishing net magnetization, and strong spin-coherence.

35 pages including Supplementary information, 8 figures, 1 table

References in corpus (22)

• Spin Transfer Torques
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Observation of spin splitting torque in a collinear antiferromagnet RuO2
• Giant and tunneling magnetoresistance effects from anisotropic and valley-dependent spin-momentum interactions in antiferromagnets
• Tilted spin current generated by the collinear antiferromagnet RuO2
• Cluster multipole theory for anomalous Hall effect in antiferromagnets
• Prediction of unconventional magnetism in doped FeSb2
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
• Fermi liquid instabilities in the spin channel
• Electric control of Dirac quasiparticles by spin-orbit torque in an antiferromagnet
• Perovskite as a spin current generator
• Anomalous Hall effect in $\kappa$-type organic antiferromagnets
• Competing orders at higher-order Van Hove points
• Spin-Space Groups and Magnon Band Topology
• Giant anomalous Hall effect in quasi-two-dimensional layered antiferromagnet Co${}_{1/3}$NbS${}_2$
• Weakly spin-dependent band structures of antiferromagnetic perovskite LaMO${}_3$ (M = Cr, Mn, Fe)
• Bulk Rashba Effect in Multiferroics: a theoretical prediction for BiCoO3
• Kramers degeneracy in a magnetic field and Zeeman spin-orbit coupling in antiferromagnets
• Triple nodal points characterized by their nodal-line structure in all magnetic space groups
• Topological antiferromagnetic spintronics: Part of a collection of reviews on antiferromagnetic spintronics

Cited by in corpus (453)

• Broken Kramers' degeneracy in altermagnetic MnTe
• Spontaneous anomalous Hall effect arising from an unconventional compensated magnetic phase in a semiconductor
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Crystal Thermal Transport in Altermagnetic RuO2
• Large band-splitting in $g$-wave type altermagnet CrSb
• dc Josephson Effect in Altermagnets
• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Enumeration and representation theory of spin space groups
• Ferroelectric switchable altermagnetism
• Landau Theory of Altermagnetism
• Twisted Magnetic Van der Waals Bilayers: An Ideal Platform for Altermagnetism
• Altermagnetic Routes to Majorana Modes in Zero Net Magnetization
• X-ray Magnetic Circular Dichroism in Altermagnetic $\alpha$-MnTe
• Absence of altermagnetic spin splitting character in rutile oxide RuO${}_2$
• Magnetic octupoles as the order parameter for unconventional antiferromagnetism
• Andreev reflection at the altermagnet-superconductor interface
• Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
• Chiral-Split Magnon in Altermagnetic MnTe
• Predictable gate-field control of spin in altermagnets with spin-layer coupling
• Crystal-symmetry-paired spin-valley locking in a layered room-temperature antiferromagnet
• Spin Space Groups: Full Classification and Applications
• Altermagnetism with Non-collinear Spins
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Enumeration of spin-space groups: Towards a complete description of symmetries of magnetic orders
• Quantum geometry induced nonlinear transport in altermagnets
• Phase-shifted Andreev levels in an altermagnet Josephson junction
• Néel Spin Currents in Antiferromagnets
• Altermagnetic superconducting diode effect
• Minimal Models for Altermagnetism
• Two-dimensional altermagnets from high throughput computational screening: symmetry requirements, chiral magnons and spin-orbit effects
• Majorana corner modes and tunable patterns in an altermagnet heterostructure
• Saturation of the anomalous Hall effect at high magnetic fields in altermagnetic RuO2
• Mirror Chern Bands and Weyl Nodal Loops in Altermagnets
• Spontaneous Formation of Altermagnetism from Orbital Ordering
• Robust magnetoelectric coupling in altermagnetic-ferroelectric type-III multiferroics
• Anisotropy of the anomalous Hall effect in the altermagnet candidate Mn${}_5$Si${}_3$ films
• Description of two-dimensional altermagnetism: Categorization using spin group theory
• Coexistence of Anomalous Hall Effect and Weak Net Magnetization in Collinear Antiferromagnet MnTe
• Altermagnetic anomalous Hall effect emerging from electronic correlations
• Creation and Manipulation of Higher-Order Topological States by Altermagnets
• Minimal Models and Transport Properties of Unconventional $p$-Wave Magnets
• Unified description of electronic orderings and cross correlations by complete multipole representation
• Realizing Altermagnetism in Fermi-Hubbard Models with Ultracold Atoms
• Bilayer stacking A-type altermagnet: A general approach to generating two-dimensional altermagnetism
• Two-Dimensional Ferroelectric Altermagnets: From Model to Material Realization
• AI-driven inverse design of materials: Past, present and future
• Interplay of altermagnetism and weak ferromagnetism in two-dimensional RuF${}_4$
• Crystal facet orientated Altermagnets for detecting ferromagnetic and antiferromagnetic states by giant tunneling magnetoresistance effect
• Non-relativistic spin splitting in compensated magnets that are not altermagnets
• Tunneling magnetoresistance in magnetic tunnel junctions with a single ferromagnetic electrode
• AI-accelerated Discovery of Altermagnetic Materials
• Altermagnetism and magnetic groups with pseudoscalar electron spin
• Topological Weyl Altermagnetism in CrSb
• Intrinsic anomalous Hall effect in altermagnets
• Superconducting phenomena in systems with unconventional magnets
• Orientation-dependent Josephson effect in spin-singlet superconductor/altermagnet/spin-triplet superconductor junctions
• $\phi$ Josephson junction induced by altermagnetism
• Field-free Josephson diode effect in altermagnet/normal metal/altermagnet junctions
• Superconductor-altermagnet memory functionality without stray fields
• Weak-Coupling Theory of Neutron Scattering as a Probe of Altermagnetism
• Stacking-dependent ferroicity of reversed bilayer: altermagnetism or ferroelectricity
• Antiferromagnetic magnon spintronic based on non-reciprocal and non-degenerated ultra-fast spin-waves in the canted antiferromagnet α-Fe2O3
• Observation of surface Fermi arcs in altermagnetic Weyl semimetal CrSb
• Fulde-Ferrell-Larkin-Ovchinnikov state induced by antiferromagnetic order in $\kappa$-type organic conductors
• Tunable band topology and optical conductivity in altermagnets
• Spontaneous Anomalous Hall Effect in Two-Dimensional Altermagnets
• Third-order and fifth-order nonlinear spin-current generation in $g$-wave and $i$-wave altermagnets, and perfectly nonreciprocal spin-current in $f$-wave magnets
• Theory of Tunneling Spectroscopy in Unconventional $p$-wave Magnet-Superconductor Hybrid Structures
• Giant strain-induced spin splitting effect in MnTe, a $g$-wave altermagnetic semiconductor
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• Anomalous Hall effect in antiferromagnetic perovskites
• Interplay between altermagnetism and nonsymmorphic symmetries generating large anomalous Hall conductivity by semi-Dirac points induced anticrossings
• Ab-initio overestimation of the topological region in Eu-based compounds
• Altermagnetism and superconductivity in a multiorbital t-J model
• Coulomb Drag in Altermagnets
• Orbital-selective altermagnetism and correlation-enhanced spin-splitting in transition metal oxides
• Notes on altermagnetism and superconductivity
• Transport across junctions of altermagnets with normal metals and ferromagnets
• Tunable second harmornic in altermagnetic Josephson junctions
• Strain-induced valley polarization, topological states, and piezomagnetism in two-dimensional altermagnetic V${}_2$Te${}_2$O, V${}_2$STeO, V${}_2$SSeO, and V${}_2$S${}_2$O
• Quasiclassical theory of superconducting spin-splitter effects and spin-filtering via altermagnets
• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Staggered Dzyaloshinskii-Moriya inducing weak ferromagnetism in centrosymmetric altermagnets and weak ferrimagnetism in noncentrosymmetric altermagnets
• Sensitivity of the MnTe valence band to orientation of magnetic moments
• Theory of electric, magnetic, and toroidal polarizations in crystalline solids with applications to hexagonal lonsdaleite and cubic diamond
• Dynamic paramagnon-polarons in altermagnets
• Spin pumping in an altermagnet/normal metal bilayer
• Altermagnetism from interaction-driven itinerant magnetism
• Crossed Andreev reflection in altermagnets
• Many-body effects on superconductivity mediated by double-magnon processes in altermagnets
• Crystal structure and absence of magnetic order in single crystalline RuO${}_2$
• Detecting the Néel vector of altermagnet by attaching a topological insulator and crystalline valley-edge insulator
• Crystal valley Hall effect
• Classification of pair symmetries in superconductors with unconventional magnetism
• High mobility charge transport in a multicarrier altermagnet CrSb
• Impurity-induced Friedel oscillations in altermagnets and $p$-wave magnets
• Chern-insulator phase in antiferromagnets
• Catalogue of $C$-paired spin-momentum locking in antiferromagnetic systems
• X-ray Magnetic Circular Dichroism in RuO${}_2$
• Fluctuation induced piezomagnetism in local moment altermagnets
• Unconventional superconductivity in altermagnets with spin-orbit coupling
• Altermagnetism on the Shastry-Sutherland lattice
• Electrical switching of altermagnetism
• Interplay of altermagnetism and pressure in hexagonal and orthorhombic MnTe
• Odd-parity Magnetism Driven by Antiferromagnetic Exchange
• Altermagnetic phase transition in a Lieb metal
• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• Anisotropic spin filtering by an altermagnetic barrier in magnetic tunnel junctions
• The Crystallographic Spin Point Groups and their Representations
• Above room temperature multiferroic tunnel junction with the altermagnetic metal CrSb
• Ruddlesden-Popper and perovskite phases as a material platform for altermagnetism
• Spontaneous Crystal Thermal Hall Effect in Insulating Altermagnets
• Nonlinear Superconducting Magnetoelectric Effect
• Topological responses from gapped Weyl points in 2D altermagnets
• Altermagnetic variants in thin films of Mn5Si3
• G-type Antiferromagnetic BiFeO${}_3$ is a Multiferroic $g$-wave Altermagnet
• RKKY interaction in Rashba altermagnets
• Design of altermagnetic models from spin clusters
• Spin Splitting Nernst Effect in Altermagnet
• Pair Density Waves and Supercurrent Diode Effect in Altermagnets
• Fragile Unconventional Magnetism in RuO${}_2$ by Proximity to Landau-Pomeranchuk Instability
• Two-dimensional Dual-Switchable Ferroelectric Altermagnets: Altering Electrons and Magnons
• Altermagnetic splitting of magnons in hematite ($\alpha$-Fe${}_2$O${}_3$)
• GdAlSi: An antiferromagnetic topological Weyl semimetal with non-relativistic spin splitting
• Anomalous Hall Effect in Type IV 2D Collinear Magnets
• X-type stacking in cross-chain antiferromagnets
• Spin-polarized Specular Andreev Reflections in Altermagnets
• Altermagnetism-Induced Parity Anomaly in Weak Topological Insulators
• Spin Chern number in altermagnets
• Spin-Splitting Magnetoresistance in Altermagnetic RuO2 Thin Films
• Orientation-dependent transport in junctions formed by $d$-wave altermagnets and $d$-wave superconductors
• Anisotropic light-tailored RKKY interaction in two-dimensional $d$-wave altermagnets
• Contrasting Light-Induced Spin Torque in Antiferromagnetic and Altermagnetic Systems
• Interface-induced magnetization in altermagnets and antiferromagnets
• Chiral Dirac fermion in a collinear antiferromagnet
• Crystal Symmetry Selected Pure Spin Photocurrent in Altermagnetic Insulators
• Altermagnetism in MnTe: origin, predicted manifestations, and routes to detwinning
• Tuning of altermagnetism by strain
• Quasi-one-dimensional spin transport in altermagnetic $Z^3$ nodal net metals
• Determination of the Néel vector in rutile altermagnets through x-ray magnetic circular dichroism: the case of MnF${}_2$
• Nonlinear Magnetoelectric Effect under Magnetic Octupole Order: Its Application to a $d$-Wave Altermagnet and a Pyrochlore Lattice with All-In/All-Out Magnetic Order
• Quantum transport theory for unconventional magnets: Interplay of altermagnetism and p-wave magnetism with superconductivity
• Tunneling Magnetoresistance Effect in Altermagnets
• Crossed Andreev reflection in collinear $p$-wave magnet/triplet superconductor junctions
• Magnon spectrum of altermagnets beyond linear spin wave theory: Magnon-magnon interactions via time-dependent matrix product states vs. atomistic spin dynamics
• Multiferroic collinear antiferromagnet with hidden altermagnetic split
• Scaling Behavior of Magnetoresistance and Hall Resistivity in Altermagnet CrSb
• Finite-momentum superconductivity in two-dimensional altermagnets with a Rashba-type spin-orbit coupling
• Revealing the Altermagnetism in Hematite via XMCD Imaging and Anomalous Hall Electrical Transport
• Coexistence of $p$-wave magnetism and superconductivity
• Unconventional Spintronics from Chiral Perovskites
• Orbital Chern Insulator at $\nu =-2$ in Twisted MoTe${}_2$
• Quasi-symmetry Constrained Spin Ferromagnetism in Altermagnets
• Anisotropic spin-polarized conductivity in collinear altermagnets
• Magneto-optical spectra of an organic antiferromagnet as a candidate for an altermagnet
• Transverse Spin current at the normal/p-wave magnet junctions
• Altermagnetism in orthorhombic $Pnma$ structure through group theory and DFT calculations
• Emergence of tunable exceptional points in altermagnet-ferromagnet junctions
• Intrinsic nonlinear conductivity induced by quantum geometry in altermagnets and measurement of the in-plane Néel vector
• Layer Control of Magneto-Optical Effects and Their Quantization in Spin-Valley Splitting Antiferromagnets
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Thermoelectric Effect in Altermagnet-Superconductor Junctions
• Bulk photovoltaic effects in altermagnets
• Signatures of hidden octupolar order from nonlinear Hall effects
• Interplay of Altermagnetic Order and Wilson Mass in the Dirac Equation: Helical Edge States without Time-Reversal Symmetry
• Dynamical Generation of Higher-order Spin-Orbit Couplings, Topology and Persistent Spin Texture in Light-Irradiated Altermagnets
• Strain controlled g- to d-wave transition in altermagnetic CrSb
• Altermagnetic Instabilities from Quantum Geometry
• Spin-Transfer Torque in Altermagnets with Magnetic Textures
• Controlling photo-excited electron-spin by light-polarization in ultrafast-pumped altermagnets
• Nonlinear field dependence of Hall effect and high-mobility multi-carrier transport in an altermagnet CrSb
• Local signatures of altermagnetism
• Phase-modulated superconductivity via altermagnetism
• Impurity states in altermagnetic superconductors
• Phonon-mediated spin-polarized superconductivity in altermagnets
• Circular Dichroism in Resonant Inelastic X-ray Scattering: Probing Altermagnetic Domains in MnTe
• Unusual surface states associated with the PT-symmetry breaking and antiferromagnetic band folding in NdSb
• Origin of $A$-type antiferromagnetism and chiral split magnons in altermagnetic $\alpha$-MnTe
• Direction-Dependent Conduction Polarity in Altermagnetic CrSb
• Itinerant A-type Antiferromagnetic Order in Co${}_{0.25}$TaSe${}_2$
• Interplay between altermagnetism and topological superconductivity on an unconventional superconducting platform
• Transition from antiferromagnets to altermagnets: Symmetry-Breaking Theory
• Spin and pair density waves in 2D altermagnetic metals
• Intra-unit-cell singlet pairing mediated by altermagnetic fluctuations
• Field-sensitive dislocation bound states in two-dimensional $d$-wave altermagnets
• Symmetry-breaking pathway towards the unpinned broken helix
• Purely electrical detection of the spin-splitting vector in $p$-wave magnets based on linear and nonlinear conductivities
• Symmetry-breaking induced surface magnetization in non-magnetic RuO${}_2$
• Altermagnetism Induced Topological Phase Transitions in Kane-Mele Model
• Floating Edge Bands in the Bernevig-Hughes-Zhang model with Altermagnetism
• The Fermi surface of RuO2 measured by quantum oscillations
• Origin of Anomalous Hall effect in Cr-doped RuO${}_2$
• Altermagnetic band splitting in 10 nm epitaxial CrSb thin films
• Diagnosing Altermagnetic Phases through Quantum Oscillations
• Multi-component altermagnet: A general approach to generating multi-component structures with two-dimensional altermagnetism
• Electric field-induced nonreciprocal directional dichroism in a time-reversal-odd antiferromagnet
• Andreev bound states and supercurrent in an unconventional superconductor-altermagnetic Josephson junction
• Tuning the magnetic properties of the spin-split antiferromagnet MnTe through pressure
• Ferroelasticity tunable altermagnets
• From local spin nematicity to altermagnets: Footprints of band topology
• Optical signatures of spin symmetries in unconventional magnets
• The electronic structures, magnetic transition and Fermi surface instability of room-temperature altermagnet KV${}_2$Se${}_2$O
• Hybrid-order topology in unconventional magnets of Eu-based Zintl compounds with surface-dependent quantum geometry
• Fingerprint of Non-Hermiticity in d-wave Altermagnet
• Tunable Josephson diode effect in singlet superconductor-altermagnet-triplet superconductor junctions
• Model Hamiltonian for Altermagnetic Topological Insulators
• Light-induced Odd-parity Magnetism in Conventional Collinear Antiferromagnets
• Dominant orbital magnetization in the prototypical altermagnet MnTe
• Antiferromagnetic resonance in $\alpha$-MnTe
• Building unconventional magnetic phases on graphene by H atom manipulation: From altermagnets to Lieb ferrimagnets
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• Exploring d-Wave Magnetism in Cuprates from Oxygen Moments
• The fate of $p$-wave spin polarization in helimagnets with Rashba spin-orbit coupling
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Constructions and Applications of Irreducible Representations of Spin-Space Groups
• Thermodynamic properties of a superconductor interfaced with an altermagnet
• Emergent Phenomena with Broken Parity-Time Symmetry: Odd-order vs. Even-order Effects
• Strain-induced nonrelativistic altermagnetic spin splitting effect
• Chiral magnetic excitations and domain textures of g-wave altermagnets
• SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands
• Theory of quantum-geometric charge and spin Josephson diode effects in strongly spin-polarized hybrid structures with noncoplanar spin textures
• Giant spatial anisotropy of magnon lifetime in altermagnets
• First-principles study on tunnel magnetoresistance effect with Cr-doped RuO${}_2$ electrode
• Altermagnetic Flatband-Driven Fermi Surface Geometry for Giant Tunneling Magnetoresistance
• Light-induced odd-parity altermagnets on dimerized lattices
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• Emergent surface multiferroicity
• Spontaneous magnon decay in two-dimensional altermagnets
• Exchange-driven spin Hall effect in anisotropic ferromagnets
• Quasiparticle interference in altermagnets
• Nonlinear Piezomagnetic Effects in $g$-wave Altermagnets
• Spin-Selective Second-Order Topological Insulators Enabling Cornertronics in 2D Altermagnets
• Superconducting Order Parameters in Spin Space Groups: Methodology and Application
• Intertwined Orders and the Physics of High Temperature Superconductors
• Non-linear anomalous Edelstein response at altermagnetic interfaces
• Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas
• Influence of magnetism, strain and pressure on the band topology of EuCd${}_2$As${}_2$
• Two-Dimensional Altermagnetic Iron Oxyhalides: Real Chern Topology and Valley-Spin-Lattice Coupling
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Room temperature weak collinear ferrimagnet with symmetry driven, large intrinsic magneto-optic signatures
• Dimension- and Facet-Dependent Altermagnetic Biferroics and Ferromagnetic Biferroics and Triferroics in CrSb
• Constraints on magnetism and correlations in RuO${}_2$ from lattice dynamics and Mössbauer spectroscopy
• Spin relaxation and transport behaviors in altermagnetic systems
• Direct ab initio calculation of magnons in altermagnets: method, spin-space symmetry aspects, and application to MnTe
• Mechanically and electrically switchable triferroic altermagnet in a pentagonal FeO2 monolayer
• Tunneling conductance in superconducting junctions with $p$-wave unconventional magnets breaking time-reversal symmetry
• Ferroelectric Antiferromagnetic Lifting of Spin-Valley Degeneracy
• Absence of transport altermagnetic spin-splitting effect in RuO2
• Symmetry Classification for Alternating Excitons in Two-Dimensional Altermagnets
• Design and theory of switchable linear magnetoelectricity by ferroelectricity in Type-I multiferroics
• Ultrafast electron dynamics in altermagnetic materials
• Floquet Spin Splitting and Spin Generation in Antiferromagnets
• Antichiral surface states and Su-Schrieffer-Heeger physics in rutile altermagnets
• Inversion-asymmetric itinerant antiferromagnets by the space group symmetry
• Tunability of the magnetic properties in Ni intercalated transition metal dichalcogenide NbSe${}_2$
• Real Chern insulators in two-dimensional altermagnetic Fe${}_2$S${}_2$O and Fe${}_2$Se${}_2$O
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Anisotropic Piezomagnetism in Noncollinear Antiferromagnets
• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Thermodynamic formulation of the spin magnetic octupole moment in bulk crystals
• Tunable altermagnetism via inter-chain engineering in parallelassembled atomic chains
• Designing Non-Relativistic Spin Splitting in Oxide Perovskites
• Magnetic Phase Diagram of Mn3+xSn1-x Epitaxial Thin Films: Extending the Anomalous Hall Effect to Low Temperatures via Intrinsic Alloying
• Texture-induced spin-orbit coupling and Skyrmion-electron bound states in a Néel antiferromagnet
• Robust cross-chain surface interstitial electronic states and doping-enhanced superconductivity in monolayer $M_2$N ($M$= Ti, Zr, Hf) electrides
• Noncollinear Magnetic Multipoles in Collinear Altermagnets
• Generation of Pure Spin Current with Insulating Antiferromagnetic Materials
• Altermagnetic Weyl node-network semimetals protected by spin symmetry
• A Theory of Anisotropic Magnetoresistance in Altermagnets and Its Applications
• Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$
• Activation of anomalous Hall effect and orbital magnetization by domain walls in altermagnets
• High-throughput calculations of antiferromagnets hosting anomalous transport phenomena
• Helical Fermi Arc in Altermagnetic Weyl Semimetal
• Energy Dispersion, Superconductivity and Magnetic Fluctuations in Stacked Altermagnetism Materials
• Néel vector controlled exceptional contours in $p$-wave magnet-ferromagnet junctions
• Coexistence of Commensurate and Incommensurate Antiferromagnetic Groundstates in Co${}_x$NbSe${}_2$ Single Crystal
• The emergence of net chirality in two-dimensional Dirac fermions system with altermagnetic mass
• Electric and spin current vortices in altermagnets
• Cavity-induced coherent magnetization and polaritons in altermagnets
• Dual-Switch Control of a Layer-Locked Anomalous Valley Hall Effect in a Sliding Ferroelectric Antiferromagnet
• Single-crystalline CrSb(0001) thin films grown by dc magnetron co-sputtering
• Valley-dependent electronic properties in two-dimensional altermagnetic iron-based transition metal chalcogenides
• Altermagnetism, ARPES, symmetry, non-relativistic band splitting
• Visualization of spin-splitter effect in altermagnets via non-equilibrium Green functions on a lattice
• Diverse Magnetic Phase Diagram and Anomalous Hall Effect in Antiferromagetic LuMn${}_6$Sn${}_6$
• Elastic Quantum Criticality in Nematics and Altermagnets via the Elasto-Caloric Effect
• Magnetization symmetry for the MnTe altermagnetic candidate
• Electrically Tunable Picosecond-scale Octupole Fluctuations in Chiral Antiferromagnets
• Anomalous Spectroscopical Effects in an Antiferromagnetic Semiconductor
• Emerging new phases in correlated Mott insulator Ca2RuO4
• Anisotropic spin dynamics in antiferromagnets with a nonrelativistic spin splitting
• Tunneling spin Hall effect induced by unconventional $p$-wave magnetism
• Nature of field-induced transitions and hysteretic magnetoresistance in non-collinear antiferromagnet EuIn2As2
• Unlocking Doping Effects on Altermagnetism in MnTe: Emergence of Quasi-altermagnetism
• Quantization of spin circular photogalvanic effect in altermagnetic Weyl semimetals
• Spin-Polarized Josephson Supercurrent in Nodeless Altermagnets
• Physical properties and first-principles calculations of an altermagnet candidate Cs${}_{1-\delta }$V${}_2$Te${}_2$O
• Revisiting the symmetry and optical phonons of altermagnetic $\alpha$-MnTe
• Microscopic origin of the spin-splitting in altermagnets
• Discovery and Synthesis of a Family of Boride Altermagnets
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• Control of Andreev Reflection via a Single-Molecule Orbital
• Achieving Altermagnetism in Monolayer Holey Graphyne via Atomic Manipulation
• Lattice dynamics of altermagnetic ruthenium oxide RuO${}_2$
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• Interplay of magnetic field and magnetic impurities in Ising superconductors
• Ferromagnetic interface engineering of spin-charge conversion in RuO${}_2$
• Magnetic-Field and Strain Engineering of Modulated Transverse Transport in Altermagnetic Topological Materials
• Viscoelastic tensor and hydrodynamics of altermagnets
• Quantum critical scaling of altermagnetism
• Large spin-orbit torque in a-plane $\alpha$-Fe${}_2$O${}_3$/Pt bilayers
• Comparative study of magnetic exchange parameters and magnon dispersions in NiO and MnO from first principles
• Unified Magnetoelectric Mechanism for Spin Splitting in Magnets
• Dirac fermions in the altermagnet Ce4Sb3
• Inherent momentum-dependent gap structure of altermagnetic superconductors
• Non-relativistic linear Edelstein effect in helical EuIn2As2
• The odd-parity altermagnetism: A spin group study
• Precursor to Quantum Criticality in Ce-Au-Al Quasicrystal Approximants
• Field-free perpendicular magnetization switching by altermagnet with collinear spin current
• Altermagnet-Superconductor Heterostructure: a Scalable Platform for Braiding of Majorana Modes
• Dirac edge states as signature of two-dimensional altermagnetic topological crystalline phase
• Orbital currents in lattice multiorbital systems: Continuity equation, torques, and RKKY interaction
• Odd-Parity Magnetism in Fe-Based Superconductors
• EuAuSb: An odd-parity helical variation on altermagnetism
• An ab-initio study on engineering quantum anomalous Hall effect in compensated antiferromagnet MnBi${}_2$Te${}_4$
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• Engineering subgap states in superconductors by the symmetry of altermagnetism
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• Zeeman-type spin splittings in strained d-wave altermagnets
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• $d$-Wave Polarization-Spin Locking in Two-Dimensional Altermagnets
• Magnetic Moiré Systems: a review
• TbPt6Al3: A rare-earth-based g-wave altermagnet with a honeycomb structure
• Incommensuration in odd-parity antiferromagnets
• Spin-dependent quasiparticle lifetimes in altermagnets
• Electric-Field-Controlled Altermagnetic Transition for Neuromorphic Computing
• Odd-parity altermagnetism through sublattice currents: From Haldane-Hubbard model to general bipartite lattices
• Impact of strong electronic correlations on altermagnets: the case of NiS2
• Enhancement of Josephson Supercurrent in a $\pi$-Junction state by Chiral Antiferromagnetism
• Approaches to tunnel magnetoresistance effect with antiferromagnets
• Quantum fluctuations in two-dimensional altermagnets
• Spin-biased quantum spin Hall effect in altermagnetic Lieb lattice
• Tuning spin currents in collinear antiferromagnets and altermagnets
• X-ray magnetic circular dichroism originating from the $T_z$ term in collinear altermagnets under trigonal crystal field
• Local setting of spin textures in a granular antiferromagnet
• Altermagnetism and Anomalous Transport in Ag${}^{2+}$ Fluorides: KAgF${}_3$ and K${}_2$AgF${}_4$
• Revival of Layered Ferroelectrics in Thin Films
• Spin-resolved quasiparticle interference patterns on altermagnets via non-spin-resolved scanning tunneling microscopy
• Marginal Metals and Kosterlitz-Thouless Type Phase Transition in Disordered Altermagnets
• Majorana modes in helical altermagnet without net magnetism and spin-orbit coupling
• Altermagnetic and dipolar splitting of magnons in FeF${}_2$
• Magnon topology driven by altermagnetism
• Saturated and Anisotropic Magnetostriction in an Altermagnet
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Rational Control of Magnonic and Electronic Band Splittings
• Spin Hall magnetoresistance at the altermagnetic insulator/Pt interface
• Tunneling magnetoresistance in a junction made of $X$-wave magnets with $X=p,d,f,g,i$
• Quantum spin models of commensurate $p$-wave magnets
• Multipole analysis of spin currents in altermagnetic MnTe
• Altermagnetic Metal-Organic Frameworks
• Reversing Neel Vector in PT-Antiferromagnets by Nonreciprocal Light Scattering
• Fractional Quantum Multiferroics from Coupling of Fractional Quantum Ferroelectricity and Altermagnetism
• Orbital splitter effect and spatial resolution of current-induced orbital accumulation
• Fermi liquid theory of $d$-wave altermagnets: demon modes and Fano-demon states
• Floquet-Engineering Weyl Points and Linked Fermi Arcs from Straight Nodal Lines
• Finite-momentum mixed singlet-triplet pairing in chiral antiferromagnets induced by even-parity spin texture
• Multipole order in two-dimensional altermagnets
• Nonrelativistic Functional Properties in Collinear Antiferromagnets Based on Multipole Representation Theory
• Ab-initio study of the beta Fe2O3 phase
• Analysis of Spin Current Generation by Elastic Waves in $f$-wave Altermagnets
• Eightfold Degenerate Dirac Nodal Line in Collinear Antiferromagnet Mn${}_5$Si${}_3$
• On the Néel Vector Dependence of X-ray Magnetic Circular Dichroism in Altermagnets
• Band Geometry Induced Third-Harmonic Generation
• Network model for magnetic higher-order topological phases
• Moiré spintronics: Emergent phenomena, material realization and machine learning accelerating discovery
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• Strain-tunable anomalous Hall effect in hexagonal MnTe
• Bipolarized Weyl semimetals and quantum crystal valley Hall effect in two-dimensional altermagnetic materials
• KOMPASS: the new cold neutron triple-axis-spectrometer specialized for polarization analysis
• Néel vector controlled charge and spin transport in altermagnetic junctions
• Standard model of electromagnetism and chirality in crystals
• Altermagnetism in an interacting model of Kagome materials
• Composite antiferromagnetic and orbital order with altermagnetic properties at a cuprate/manganite interface
• Electric-field-induced magnetic toroidal moment and nonlinear magnetoelectric effect in antiferromagnetic olivines
• Interplay between Superconductivity and Altermagnetism in Disordered Materials and Heterostructures
• Current switching behavior mediated via hinge modes in higher-order topological phases using altermagnets
• Edge spin galvanic effect in altermagnets
• Coupling of plasmons to the two-magnon continuum in antiferromagnets
• Time inversion symmetry in the Dirac and Schrödinger-Pauli theories
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Josephson diode and spin-valve effects on the surface of altermagnet CrSb
• Dichroic cavity mode splitting and lifetimes from interactions with a ferromagnetic metal
• Staggered Dzyaloshinskii-Moriya and canting angle in centrosymmetric altermagnetic and ferromagnetic phases: influence on the anomalous Hall effect and Weyl points
• Van-Hove singularities and competing instabilities in an altermagnetic metal
• Nonlinear spin-Seebeck diode in $f$-wave magnets, third-order spin-Nernst effects in $g$-wave magnets and spin-Nernst effects in $i$-wave altermagnets
• Effect of symmetry breaking on altermagnetism in CrSb and Formation of fragmented nodal curves
• Ultrafast Magneto-optical Fingerprints of Altermagnetism in MnTe
• Floquet-Engineered Chern Insulator in two-dimensional $d_{x^2-y^2}$-Wave Altermagnets
• Tailoring Corner States and Exceptional Points in Altermagnets
• Higher-order topological insulators in two-dimensional antiferromagnetic and altermagnetic chromium-based group-IV chalcogenides
• Absence of magnetic order in epitaxial RuO2 revealed by X-ray linear dichroism
• Electrically switchable non-relativistic Zeeman spin splittings in collinear antiferromagnets
• Theory of Angle Resolved Photoemission Spectroscopy of Altermagnetic Mott Insulators
• Magnetic precession induced spin accumulation in collinear antiferromagnets
• Charge disproportionation as a possible mechanism towards polar antiferromagnetic metal in molecular orbital crystal
• Spin transport in a normal meta-altermagnetic superconducting nanowire junction
• Probing multipolar order in the candidate altermagnet MnF${}_2$ through the elastocaloric effect under strain
• Optical signatures of bulk g-wave altermagnetism in MnTe
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector
• Competitive Orders in Altermagnetic Chiral Magnons
• Unconventional Spin Valve Based on Normal Metal/Chiral Molecule/Altermagnet Junctions
• Second-order topological insulator induced by compensated altermagnetism without bulk spin splitting
• Hyperspin Altermagnets
• Quantum oscillation fingerprints of altermagnetism in hole-doped RuO2
• Ferroelectric switchable altermagnetic-like compensated ferrimagnets with charge ordering
• Anti-higher-order Weyl semimetal
• Double-$Q$ chiral stripe order in the anomalous Hall antiferromagnet CoNb${}_3$S${}_6$
• Wurtzite MnSe as a barrier for CdSe quantum wells with built-in electric field
• Electric-Field-induced Two-Dimensional Fully Compensated Ferrimagnetism and Emergent Transport Phenomena
• Phonon-enhanced optical spin-conductivity and spin-splitter effect in altermagnets
• Magnon Thermal Hall Effect Induced By Symmetric Exchange Interaction
• Classification of magnon thermal Hall systems based on U(1) to non-Abelian gauge fields
• Spin-Orbit Coupling-Driven Chirality Switching of Spin Waves in Altermagnets
• Piezomagnetic effect of a rare-earth-based altermagnet TbPt6Al3
• Coexistence of d-Wave Altermagnetism and Topological States in Janus FeSeX (X = S, Te) Monolayers
• Electrical Modulation and Probing of Antiferromagnetism in Hybrid Multiferroic Heterostructures
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity
• Fermi-liquid behavior and characteristic temperature-dependent susceptibility in clean RuO${}_2$ crystal
• Revealing Spin and Spatial Symmetry Decoupling: New Insights into Magnetic Systems with Dzyaloshinskii-Moriya Interaction
• Surface acoustic wave driven acoustic spin splitter in d-wave altermagnetic thin films
• Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling
• D-Wave Phonon Angular Momentum Texture in Altermagnets by Magnon-Phonon Hybridization
• Interaction enhanced altermagnet in the Hatsugai-Kohmoto model
• Quantum-impurity sensing of altermagnetic order
• Absence of magnetic order and magnetic fluctuations in RuO${}_2$
• Electric field controlled second-order anomalous Hall effect in altermagnets
• Pseudo-Goldstone mode in altermagnetic $\alpha$-MnTe: high-field electron spin resonance studies
• Altermagnetism of ultrathin CrSb slabs
• Spin-Polarized Magnetic Metal Electrodes for Magnetic Tunnel Junctions
• Quantum geometric map of magnetotransport
• Spin triplet pairing by suppressing altermagnetism
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Nonlinear opto-magnetic signature of d-wave altermagnets
• Antiferroaxial altermagnetism
• Altermagnetism and Weak Magnetism in the Insulating Distorted Perovskite Antiferromagnet NaOsO${}_3$
• Ab initio study of magnetoresistance effect in $\mathrm{M}{\mathrm{n}}_3\mathrm{Sn}/\mathrm{MgO}/\mathrm{M}{\mathrm{n}}_3\mathrm{Sn}$ antiferromagnetic tunnel junction
• Moiré-resonant surface state in ultrathin RuO${}_2$
• Reliable Magnetometry for Antiferromagnets and Thin Films: Correcting Substrate Artifacts in Mn3Sn/MgO Systems
• Time reversal reserved spin valve and spin transistor based on unconventional $p$-wave magnets
• Fourth-order and six-order nonlinear spin current rectifier in three-dimensional $h$-wave and $j$-wave odd-parity magnet
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Physical Pictures for Quasisymmetry in Crystals
• ESR Investigations of the Magnetic Anisotropy in $\kappa$-(BETS)${}_2$Mn[N(CN)${}_2$]${}_3$