Landau Theory of Altermagnetism

Abstract

We formulate a Landau theory for altermagnets, a class of colinear compensated magnets with spin-split bands. Starting from the non-relativistic limit, this Landau theory goes beyond a conventional analysis by including spin-space symmetries, providing a simple framework for understanding the key features of this family of materials. We find a set of multipolar secondary order parameters connecting existing ideas about the spin symmetries of these systems, their order parameters and the effect of non-zero spin-orbit coupling. We account for several features of canonical altermagnets such as RuO${}_2$, MnTe and CuF${}_2$ that go beyond symmetry alone, relating the order parameter to key observables such as magnetization, anomalous Hall conductivity and magneto-elastic and magneto-optical probes. Finally, we comment on generalizations of our framework to a wider family of exotic magnetic systems deriving from the zero spin-orbit coupled limit.

5+ pages, 2 figures

References in corpus (17)

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• Topological Superconductivity in Two-Dimensional Altermagnetic Metals
• Finite-momentum Cooper pairing in proximitized altermagnets
• X-ray Magnetic Circular Dichroism in Altermagnetic $\alpha$-MnTe
• Andreev reflection at the altermagnet-superconductor interface
• Topological transition from nodal to nodeless Zeeman splitting in altermagnets
• Perovskite as a spin current generator
• Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
• Weak-Coupling Theory of Neutron Scattering as a Probe of Altermagnetism
• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Dynamic paramagnon-polarons in altermagnets
• Theory of electric, magnetic, and toroidal polarizations in crystalline solids with applications to hexagonal lonsdaleite and cubic diamond

Cited by in corpus (87)

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• Robust magnetoelectric coupling in altermagnetic-ferroelectric type-III multiferroics
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• Bilayer stacking A-type altermagnet: A general approach to generating two-dimensional altermagnetism
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• Superconducting phenomena in systems with unconventional magnets
• Structure, control, and dynamics of altermagnetic textures
• Tunable band topology and optical conductivity in altermagnets
• Altermagnetism and superconductivity in a multiorbital t-J model
• Staggered Dzyaloshinskii-Moriya inducing weak ferromagnetism in centrosymmetric altermagnets and weak ferrimagnetism in noncentrosymmetric altermagnets
• Fluctuation induced piezomagnetism in local moment altermagnets
• Unconventional superconductivity in altermagnets with spin-orbit coupling
• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• The Crystallographic Spin Point Groups and their Representations
• Topological responses from gapped Weyl points in 2D altermagnets
• Altermagnetic splitting of magnons in hematite ($\alpha$-Fe${}_2$O${}_3$)
• Spin Chern number in altermagnets
• Anisotropic light-tailored RKKY interaction in two-dimensional $d$-wave altermagnets
• Tuning of altermagnetism by strain
• Altermagnetism in MnTe: origin, predicted manifestations, and routes to detwinning
• Spin Hall and Edelstein Effects in Novel Chiral Noncollinear Altermagnets
• Finite-momentum superconductivity in two-dimensional altermagnets with a Rashba-type spin-orbit coupling
• 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
• Quasi-symmetry Constrained Spin Ferromagnetism in Altermagnets
• Magneto-optical spectra of an organic antiferromagnet as a candidate for an altermagnet
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Controlling photo-excited electron-spin by light-polarization in ultrafast-pumped altermagnets
• Intra-unit-cell singlet pairing mediated by altermagnetic fluctuations
• Interplay between altermagnetism and topological superconductivity on an unconventional superconducting platform
• Transition from antiferromagnets to altermagnets: Symmetry-Breaking Theory
• Anomalous-Hall Neel textures in altermagnetic materials
• Fingerprint of Non-Hermiticity in d-wave Altermagnet
• Dominant orbital magnetization in the prototypical altermagnet MnTe
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• Light-induced Odd-parity Magnetism in Conventional Collinear Antiferromagnets
• Fractionalized Altermagnets: from neighboring and altermagnetic spin-liquids to spin-symmetric band splitting
• SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands
• Nonlinear Piezomagnetic Effects in $g$-wave Altermagnets
• Antichiral surface states and Su-Schrieffer-Heeger physics in rutile altermagnets
• Noncollinear Magnetic Multipoles in Collinear Altermagnets
• Thermodynamic formulation of the spin magnetic octupole moment in bulk crystals
• Designing Non-Relativistic Spin Splitting in Oxide Perovskites
• Observation of spin splitting in the surface electronic structure of antiferromagnet NdBi
• Piezomagnetism in the Ising ferromagnet URhGe
• Persistent spin textures, altermagnetism and charge-to-spin conversion in metallic chiral crystals TM${}_3$X${}_6$
• Activation of anomalous Hall effect and orbital magnetization by domain walls in altermagnets
• Altermagnetic polarons: the fate of alter magnetic band splittings at strong coupling
• Quantum Lifshitz points in an altermagnetic metal
• Relativistic Spin-momentum locking in altermagnets
• Elastic Quantum Criticality in Nematics and Altermagnets via the Elasto-Caloric Effect
• Magnetic-field-tuned randomness in inhomogeneous altermagnets
• Nature of field-induced transitions and hysteretic magnetoresistance in non-collinear antiferromagnet EuIn2As2
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Incommensuration in odd-parity antiferromagnets
• Quantum critical scaling of altermagnetism
• Field-free perpendicular magnetization switching by altermagnet with collinear spin current
• Tunable two-dimensional Dirac-Weyl semimetal phase induced by altermagnetism
• Giant octupole moment in magnetic multilayers
• Fermi liquid theory of $d$-wave altermagnets: demon modes and Fano-demon states
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Rational Control of Magnonic and Electronic Band Splittings
• Quantum spin models of commensurate $p$-wave magnets
• Saturated and Anisotropic Magnetostriction in an Altermagnet
• Staggered Dzyaloshinskii-Moriya and canting angle in centrosymmetric altermagnetic and ferromagnetic phases: influence on the anomalous Hall effect and Weyl points
• Eightfold Degenerate Dirac Nodal Line in Collinear Antiferromagnet Mn${}_5$Si${}_3$
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Standard model of electromagnetism and chirality in crystals
• Orbital current signature using neutron diffraction
• Nonrelativistic Functional Properties in Collinear Antiferromagnets Based on Multipole Representation Theory
• Orbital altermagnetism on the kagome lattice and possible application to $A$V${}_3$Sb${}_5$
• Analysis of Spin Current Generation by Elastic Waves in $f$-wave Altermagnets
• Strain-tunable anomalous Hall effect in hexagonal MnTe
• Electric field controlled second-order anomalous Hall effect in altermagnets
• Magnon Thermal Hall Effect Induced By Symmetric Exchange Interaction
• Absence of magnetic order and magnetic fluctuations in RuO${}_2$
• D-Wave Phonon Angular Momentum Texture in Altermagnets by Magnon-Phonon Hybridization
• Quantum effects in the magnon spectrum of 2D altermagnets via continuous similarity transformations
• Probing multipolar order in the candidate altermagnet MnF${}_2$ through the elastocaloric effect under strain
• Nonlinear opto-magnetic signature of d-wave altermagnets
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• Optical phonons as a testing ground for spin group symmetries
• Altermagnetism from the viewpoint of chemistry
• Piezomagnetic effect of a rare-earth-based altermagnet TbPt6Al3