Spin point group classification shows non-relativistic spin splitting allowed up to order l=9 (except l=8) in non-collinear magnets, with explicit forms for new l=5,7,9 types and an example in LaMnAu5.
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P-wave magnets
40 Pith papers cite this work, alongside 8 external citations. Polarity classification is still indexing.
abstract
The p-wave Cooper-pairing instability in superfluid $^{3}$He, characterized by a parity-breaking excitation gap, is regarded as one of the most rich and complex phenomena in physics. The possibility of a counterpart unconventional p-wave ordering of interacting fermions, in which a Fermi surface spontaneously breaks the parity symmetry, has been an open problem for many decades. Here we identify the realization of the counterpart of p-wave superfluidity in magnetism. We demonstrate a strong parity-breaking and anisotropic symmetry lowering of spin-polarized and time-reversal symmetric Fermi surfaces in a representative p-wave magnet CeNiAsO. As a direct experimental signature we predict a large spontaneous anisotropy of the resistivity. Abundant and robust realizations of the unconventional p-wave magnetism can be identified from suitable non-relativistic crystal-lattice and spin symmetries, without requiring strong correlations and extreme external conditions. This opens new prospects in fields ranging from topological phenomena to spintronics.
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P-wave magnets exhibit spontaneous parity breaking of spin-polarized Fermi surfaces in time-reversal symmetric crystals, demonstrated via symmetry analysis in CeNiAsO with a predicted large spontaneous resistivity anisotropy.
Hyperspatial projections of decorated Ammann-Beenker and Penrose lattices host interaction-induced Néel order that realizes g-wave and h-wave altermagnetism compatible with quasicrystalline symmetries.
TbB4 hosts component-resolved mixed-parity spin textures in a 3D compensated magnet, with p/f-wave odd parity in-plane and d-wave even parity out-of-plane, driven by staggered Berry phase from scalar spin chirality.
Bichromatic Floquet driving activates giant perpendicular Edelstein polarizations in 2D altermagnets by breaking rotational symmetry.
A p-wave magnet-s-wave superconductor heterostructure hosts seven nodal topological phases with Majorana flat bands; Floquet driving generates additional zero/pi Majorana bands, higher-winding nodes, and a distinct odd-Floquet pairing class absent in static systems.
Chiral nanotubes from collinear magnets realize p-wave magnetism with p-wave spin splitting independent of the parent collinear order.
Multiphoton absorption provides symmetry-selective fingerprints for planar altermagnets, with two-photon response for d-wave, four-photon for g-wave, and six-photon for i-wave order via absent direct contributions in specific polarization channels.
Bilayer odd-parity coplanar magnets constructed from altermagnets realize tunable nonrelativistic SOC spin textures equivalent to relativistic counterparts.
Localized Ce 4f electrons suppress p-wave altermagnetic band splitting in CeNiAsO's Ni 3d conduction bands to the few-meV scale.
Twisted CrCl3 exhibits robust noncollinear moiré magnetism featuring a twisted-s phase with 90° domain walls, observed via tunneling magnetoconductance transitions and voltage-tunable up to nine-layer stacks.
Odd-parity magnon splitting is classified in 2D collinear antiferromagnets and induced by circularly polarized light or loop currents, driving topological transitions with chiral edge modes in bilayers.
Symmetry classification framework for unconventional magnetism identifies hybrid-parity and unconstrained-parity classes beyond altermagnets and odd-parity magnets, with computational example of combined spintronic effects.
Theory establishes spin-splitter magnetoresistance as a smoking-gun signature of collinear d-wave altermagnetism via its unique angular dependencies and sign relative to spin Hall magnetoresistance.
Collinear spin-orbital magnets host mixed-parity altermagnetism as an intermediate regime between even- and odd-parity forms, inducible by circularly polarized light in a two-sublattice two-orbital model.
Collinear altermagnets can exhibit tunable mixed-parity spin textures and new dissipationless spin Hall responses when driven by two-color light or coupled to P-odd loop-current order, creating (P,T)=(-,-) or (+,+) states.
Generalized Bloch theorem enables primitive-cell modeling of helimagnetic order with odd-parity magnetism, where spin splitting is largest for p-orbital states.
Slow phonons suppress the spin Edelstein effect in strained Rashba d-wave altermagnets through energy renormalization that collapses the Fermi surface, producing tunable anisotropic depolarization.
A symmetry-based stacking strategy with layer-flip realizes odd-parity altermagnetism from nonrelativistic orbital orders, hosting quantum spin Hall phases with helical edge states.
Spin-orbit coupling couples structural and magnetic chirality into homochiral and heterochiral spin-orbital p-wave phases that are distinguished by longitudinal conductivity.
AIAO order in pyrochlore iridates is shown to be a noncollinear d-wave altermagnet analog with SOC-induced momentum-dependent spin splitting and zero-momentum band splitting.
Topological exciton condensation in the Haldane-Hubbard model produces a Néel state with odd-parity magnons showing f-wave splitting and topology changes tied to electron bandgap closing.
ARPES measurements on CeNiAsO reveal absence of expected p-wave band splitting and c-f hybridization, showing that localized Ce 4f electrons quench nonrelativistic spin splitting.
Numerical modeling of interacting electrons in helical molecules finds that Coulomb-driven non-collinear spin correlations enable strong chirality-induced spin selectivity at high temperatures with minimal spin-orbit coupling.
citing papers explorer
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Spin point group symmetry and classification of non-relativistic spin splitting in non-collinear magnetic structures: Identification of high-order spin splitting types (l=5,7, and 9)
Spin point group classification shows non-relativistic spin splitting allowed up to order l=9 (except l=8) in non-collinear magnets, with explicit forms for new l=5,7,9 types and an example in LaMnAu5.
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P-wave magnets
P-wave magnets exhibit spontaneous parity breaking of spin-polarized Fermi surfaces in time-reversal symmetric crystals, demonstrated via symmetry analysis in CeNiAsO with a predicted large spontaneous resistivity anisotropy.
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Unconventional Altermagnetism in Quasicrystals: A Hyperspatial Projective Construction
Hyperspatial projections of decorated Ammann-Beenker and Penrose lattices host interaction-induced Néel order that realizes g-wave and h-wave altermagnetism compatible with quasicrystalline symmetries.
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Unconventional Mixed-Parity Magnetism in Rare-Earth Tetraborides
TbB4 hosts component-resolved mixed-parity spin textures in a 3D compensated magnet, with p/f-wave odd parity in-plane and d-wave even parity out-of-plane, driven by staggered Berry phase from scalar spin chirality.
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Giant perpendicular Edelstein polarization in 2D compensated magnets via bichromatic Floquet driving
Bichromatic Floquet driving activates giant perpendicular Edelstein polarizations in 2D altermagnets by breaking rotational symmetry.
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Floquet Majorana flat bands and emergent Cooper pair symmetries in $p-$wave magnet$-$superconductor heterostructure
A p-wave magnet-s-wave superconductor heterostructure hosts seven nodal topological phases with Majorana flat bands; Floquet driving generates additional zero/pi Majorana bands, higher-winding nodes, and a distinct odd-Floquet pairing class absent in static systems.
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Rolling Two-Dimensional Collinear Magnets into Chiral Nanotubes with $p$-Wave Magnetism
Chiral nanotubes from collinear magnets realize p-wave magnetism with p-wave spin splitting independent of the parent collinear order.
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Multiphoton Fingerprints of Altermagnetic Spin Splittings
Multiphoton absorption provides symmetry-selective fingerprints for planar altermagnets, with two-photon response for d-wave, four-photon for g-wave, and six-photon for i-wave order via absent direct contributions in specific polarization channels.
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Nonrelativistic Spin-Orbit-Coupling Effects in Odd-Parity Coplanar Magnets
Bilayer odd-parity coplanar magnets constructed from altermagnets realize tunable nonrelativistic SOC spin textures equivalent to relativistic counterparts.
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Suppression of p-Wave Altermagnetism by Localized 4f Electrons in CeNiAsO
Localized Ce 4f electrons suppress p-wave altermagnetic band splitting in CeNiAsO's Ni 3d conduction bands to the few-meV scale.
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Noncollinear spin textures and 90{\deg} domain walls in twisted XY magnets
Twisted CrCl3 exhibits robust noncollinear moiré magnetism featuring a twisted-s phase with 90° domain walls, observed via tunneling magnetoconductance transitions and voltage-tunable up to nine-layer stacks.
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Odd-Parity Magnons
Odd-parity magnon splitting is classified in 2D collinear antiferromagnets and induced by circularly polarized light or loop currents, driving topological transitions with chiral edge modes in bilayers.
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Unconventional Magnetism: Symmetry Classification, Hybrid-parity and Unconstrained-parity Classes
Symmetry classification framework for unconventional magnetism identifies hybrid-parity and unconstrained-parity classes beyond altermagnets and odd-parity magnets, with computational example of combined spintronic effects.
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Theory of Spin-splitter Magnetoresistance in Altermagnets
Theory establishes spin-splitter magnetoresistance as a smoking-gun signature of collinear d-wave altermagnetism via its unique angular dependencies and sign relative to spin Hall magnetoresistance.
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Mixed-Parity Altermagnetism in Collinear Spin-Orbital Magnets
Collinear spin-orbital magnets host mixed-parity altermagnetism as an intermediate regime between even- and odd-parity forms, inducible by circularly polarized light in a two-sublattice two-orbital model.
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Tunable Odd-Parity Spin Splittings in Altermagnets
Collinear altermagnets can exhibit tunable mixed-parity spin textures and new dissipationless spin Hall responses when driven by two-color light or coupled to P-odd loop-current order, creating (P,T)=(-,-) or (+,+) states.
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Odd-parity Magnetism from the Generalized Bloch Theorem
Generalized Bloch theorem enables primitive-cell modeling of helimagnetic order with odd-parity magnetism, where spin splitting is largest for p-orbital states.
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Slow-phonon control of spin Edelstein effect in Rashba $d$-wave altermagnets
Slow phonons suppress the spin Edelstein effect in strained Rashba d-wave altermagnets through energy renormalization that collapses the Fermi surface, producing tunable anisotropic depolarization.
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Odd-Parity Altermagnetism Originated from Orbital Orders
A symmetry-based stacking strategy with layer-flip realizes odd-parity altermagnetism from nonrelativistic orbital orders, hosting quantum spin Hall phases with helical edge states.
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Coupled Spin-Orbital $p$-Wave Magnetism via Structural and Magnetic Chirality
Spin-orbit coupling couples structural and magnetic chirality into homochiral and heterochiral spin-orbital p-wave phases that are distinguished by longitudinal conductivity.
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All-In-All-Out Pyrochlore Iridates as Noncollinear Spin-Orbit Coupled Counterparts of Altermagnets
AIAO order in pyrochlore iridates is shown to be a noncollinear d-wave altermagnet analog with SOC-induced momentum-dependent spin splitting and zero-momentum band splitting.
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Odd-parity magnons in the Haldane-Hubbard model from topological exciton condensation
Topological exciton condensation in the Haldane-Hubbard model produces a Néel state with odd-parity magnons showing f-wave splitting and topology changes tied to electron bandgap closing.
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Quenching of Nonrelativistic p-Wave Spin Splitting by c-f Decoupling in CeNiAsO
ARPES measurements on CeNiAsO reveal absence of expected p-wave band splitting and c-f hybridization, showing that localized Ce 4f electrons quench nonrelativistic spin splitting.
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Electronic correlations driving Chirality-Induced Spin Selectivity
Numerical modeling of interacting electrons in helical molecules finds that Coulomb-driven non-collinear spin correlations enable strong chirality-induced spin selectivity at high temperatures with minimal spin-orbit coupling.
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Disorder-Induced Phase Transitions in Altermagnetic Josephson Junctions
Disorder induces transitions from π to 0 phases in altermagnetic Josephson junctions, suppresses critical current, and destabilizes the φ phase in a nonreciprocal way.
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Non-Relativistic Spin-Orbit Interaction in Triplet Superconductors: Edelstein Effect and Spin Pumping by Electric Fields
Triplet superconductors exhibit non-relativistic momentum-dependent spin splitting from the pairing order parameter, enabling an Edelstein effect and electric-field-driven spin pumping without relativistic spin-orbit coupling.
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The odd-parity altermagnetism induced reconstruction of the Chern-insulating phase in Haldane-Hubbard model
Odd-parity altermagnetism reconstructs local topology in the Chern-insulating phase of the Haldane-Hubbard model without changing the total Chern number.
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$P$-wave Orbital Magnetism
P-wave orbital magnetism protected by combined translation and time-reversal symmetry is proposed to originate from loop-current-induced orbital textures in a 2D Dirac lattice model, measurable via orbital Hall conductivity.
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Tunneling magnetoresistance in a junction made of $X$-wave magnets with $X=p,d,f,g,i$
A universal analytic formula for the TMR ratio in X-wave magnet junctions is derived, proportional to |J|/(N_X Γ) for small Γ, in contrast to the J²/Γ² dependence for ferromagnets.
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Sub-spin-flop switching of a fully compensated antiferromagnet by magnetic field
Low-field domain selection in CeNiAsO enables giant reversible in-plane resistivity anisotropy up to 35 percent in both Néel and spin-density-wave phases.
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Odd-Parity Magnetism in Fe-Based Superconductors
Fe-based superconductors with coplanar magnetic order realize an odd-parity magnetic state featuring k_z-polarized spins with h-wave splitting and finite Berry curvature but vanishing Edelstein effect in the absence of spin-orbit coupling.
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Light-induced Odd-parity Magnetism in Conventional Collinear Antiferromagnets
Floquet engineering with periodic light fields induces odd-parity magnetism and tunable spin splitting in 2D collinear antiferromagnets.
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The fate of odd-parity magnetism in one dimension
Bosonization analysis of a 1D extended Hubbard-Kondo model shows p-wave magnetic order produces p-wave character in the electron spectral function only at commensurate fillings, with interactions becoming irrelevant otherwise.
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Global magnetic phase diagram and multiple unconventional magnets in NiAs-type compounds
A J1-J2-J3 Heisenberg model plus DFT yields a global phase diagram for NiAs-type compounds that includes new g-wave altermagnets, f-wave OPMs, and mixed-parity states dominated by f-wave in CrSe and CrTe1-xSex.
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Collinear ferromagnetism with reduced moment length in kagome magnet Nd3Ru4Al12
Single-crystal neutron diffraction shows collinear ferromagnetic order with uniform moment length on Nd sites in Nd3Ru4Al12, revising the prior unequal-moment ortho-FM model.
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Magnetization induced by a nonlinear response to temperature gradient in $d^{\prime }$, $g^{\prime }$ and $i^{\prime }$ altermagnets
Second-order nonlinear response to a temperature gradient induces magnetization in d′, g′, and i′ altermagnets (and in d-wave for arbitrary gradient direction), but not in the corresponding unprimed g- and i-wave cases.
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Proximity-induced superconductivity and emerging topological phases in altermagnet-based heterostructures
Theoretical derivation of proximity-induced even-parity pairings in d-wave altermagnets coupled to s-wave superconductors, and emergence of weak and strong topological phases when Rashba SOC is included.
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Competition and coexistence of superconducting symmetries in $p$-wave magnets
Self-consistent BdG calculations on a p-wave magnet model show magnetic coupling drives transitions from dominant s-wave to mixed p_x-wave and then to equal-spin p_y-wave superconductivity with coexistence and competition regimes.
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Classification and design of two-dimensional altermagnets
A review that classifies two-dimensional altermagnets via spin-group theory, lists materials with large spin splitting, and outlines design strategies for experimental realization.
- Topological Ising superconductivity in two-dimensional p-wave magnet