Minimal Models for Altermagnetism

Abstract

Altermagnets feature vanishing net magnetization, like antiferromagnets, but exhibit time-reversal symmetry breaking and momentum-dependent spin-split band structures. Motivated by the prevalence of altermagnetic materials with non-symmorphic symmetry-dictated band degeneracies, we provide realistic minimal models for altermagnetism by constructing tight-binding models for nonsymmorphic space groups with a sublattice defined by two magnetic atoms. These models can be applied to monoclinic, orthorhombic, tetragonal, rhombohedral, hexagonal, and cubic materials and can describe d-wave, g-wave, and i-wave altermagnetism. By examining the altermagnetic susceptibility and mean field instabilities within a Hubbard model we reveal that these models have altermagnetic ground states and yield a Berry curvature that is linear in the spin-orbit coupling. We apply our models to RuO${}_2$, MnF${}_2$, FeSb${}_2$, $\kappa$-Cl, CrSb, and MnTe.

v2: 18 pages, 18 figures. v3: matches journal version

References in corpus (24)

• Topological Crystalline Insulators
• Near-degeneracy of several pairing channels in multiorbital models for the Fe-pnictides
• Observation of spin splitting torque in a collinear antiferromagnet RuO2
• Broken Kramers' degeneracy in altermagnetic MnTe
• Tilted spin current generated by the collinear antiferromagnet RuO2
• Direct observation of altermagnetic band splitting in CrSb thin films
• Spontaneous anomalous Hall effect arising from an unconventional compensated magnetic phase in a semiconductor
• Observation of spin-splitter torque in collinear antiferromagnetic RuO${}_2$
• Antiferromagnetism in RuO${}_2$ as $d$-wave Pomeranchuk instability
• Observation of Giant Band Splitting in Altermagnetic MnTe
• Itinerant Antiferromagnetism in RuO${}_2$
• Fermi liquid instabilities in the spin channel
• Landau Theory of Altermagnetism
• Magnetic octupoles as the order parameter for unconventional antiferromagnetism
• Two-dimensional altermagnets: Superconductivity in a minimal microscopic model
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Spin-split collinear antiferromagnets: a large-scale ab-initio study
• Quantum geometry induced nonlinear transport in altermagnets
• Anomalous Hall effect in $\kappa$-type organic antiferromagnets
• Intrinsic anomalous Hall effect in altermagnets
• Weak-Coupling Theory of Neutron Scattering as a Probe of Altermagnetism
• The semiconductor-to-ferromagnetic-metal transition in FeSb2
• Fulde-Ferrell-Larkin-Ovchinnikov state induced by antiferromagnetic order in $\kappa$-type organic conductors
• Superconductivity of anomalous pseudospin

Cited by in corpus (63)

• Superconducting phenomena in systems with unconventional magnets
• Unconventional p-wave and finite-momentum superconductivity induced by altermagnetism through the formation of Bogoliubov Fermi surface
• Giant strain-induced spin splitting effect in MnTe, a $g$-wave altermagnetic semiconductor
• Altermagnetism from interaction-driven itinerant magnetism
• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• Altermagnetic phase transition in a Lieb metal
• Tuning of altermagnetism by strain
• All-electrically controlled spintronics in altermagnetic heterostructures
• Spin Hall and Edelstein Effects in Novel Chiral Noncollinear Altermagnets
• Quasi-symmetry Constrained Spin Ferromagnetism in Altermagnets
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Altermagnetic Instabilities from Quantum Geometry
• Phase-modulated superconductivity via altermagnetism
• Local signatures of altermagnetism
• Spin and pair density waves in 2D altermagnetic metals
• Floquet engineering spin triplet states in unconventional magnets
• Phonon-mediated spin-polarized superconductivity in altermagnets
• Intra-unit-cell singlet pairing mediated by altermagnetic fluctuations
• Altermagnetism from coincident Van Hove singularities: application to $\kappa$-Cl
• Field-sensitive dislocation bound states in two-dimensional $d$-wave altermagnets
• From local spin nematicity to altermagnets: Footprints of band topology
• Spin-orbit enabled unconventional Stoner magnetism
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• Spin relaxation and transport behaviors in altermagnetic systems
• Nonlinear Piezomagnetic Effects in $g$-wave Altermagnets
• Noncollinear Magnetic Multipoles in Collinear Altermagnets
• Antichiral surface states and Su-Schrieffer-Heeger physics in rutile altermagnets
• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Thermodynamic formulation of the spin magnetic octupole moment in bulk crystals
• Activation of anomalous Hall effect and orbital magnetization by domain walls in altermagnets
• Exploration of Altermagnetism in $\mathrm{Ru}{\mathrm{O}}_2$
• Electric and spin current vortices in altermagnets
• Energy Dispersion, Superconductivity and Magnetic Fluctuations in Stacked Altermagnetism Materials
• Spin-Polarized Josephson Supercurrent in Nodeless Altermagnets
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• Microscopic origin of the spin-splitting in altermagnets
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• Inherent momentum-dependent gap structure of altermagnetic superconductors
• Zeeman-type spin splittings in strained d-wave altermagnets
• Spin-dependent quasiparticle lifetimes in altermagnets
• Unified Magnetoelectric Mechanism for Spin Splitting in Magnets
• Quantum critical scaling of altermagnetism
• Impact of strong electronic correlations on altermagnets: the case of NiS2
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Tuning spin currents in collinear antiferromagnets and altermagnets
• Quantum fluctuations in two-dimensional altermagnets
• Finite-momentum mixed singlet-triplet pairing in chiral antiferromagnets induced by even-parity spin texture
• Multipole order in two-dimensional altermagnets
• Orbital splitter effect and spatial resolution of current-induced orbital accumulation
• Van-Hove singularities and competing instabilities in an altermagnetic metal
• Analysis of Spin Current Generation by Elastic Waves in $f$-wave Altermagnets
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• Altermagnetism in an interacting model of Kagome materials
• Relativistic spin-momentum locking in ferromagnets
• Nonlinear opto-magnetic signature of d-wave altermagnets
• Spin triplet pairing by suppressing altermagnetism
• Altermagnetism from the viewpoint of chemistry
• Quantum Altermagnetic Instability in Disordered Metals
• Probing multipolar order in the candidate altermagnet MnF${}_2$ through the elastocaloric effect under strain
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Quantum oscillation fingerprints of altermagnetism in hole-doped RuO2
• Intrinsic spin accumulation in the magnetic spin Hall effect
• Superconducting States and Intertwined Orders in Metallic Altermagnets