Non-relativistic spin splitting in compensated magnets that are not altermagnets

Abstract

The non-relativistic spin-splitting (NRSS) of electronic bands in "altermagnets" has sparked renewed interest in antiferromagnets (AFMs) that have no net magnetization. However, altermagnets with collinear and compensated magnetism are not the only type of NRSS AFMs. In this study, we identify the symmetry conditions and characteristic signatures of a distinct group of NRSS AFMs that go beyond the description of altermagnets. These compounds exhibit a broken spin-degeneracy among the spin-polarized bands at the $\Gamma$ point in the absence of spin-orbit coupling (SOC). We use density functional theory calculations to validate these models in ternary magnetic nitrides, specifically MnXN${}_2$ (X = Si, Ge, Sn), and their cation ordered variants. By removing the previous NRSS constraint on $\Gamma$, these compounds may facilitate the generation of spin currents without cancellation arising from the alternating spin polarizations. Our findings expand the scope of NRSS eligible materials.

7 pages, 3 figures

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• G-type Antiferromagnetic BiFeO${}_3$ is a Multiferroic $g$-wave Altermagnet
• X-type stacking in cross-chain antiferromagnets
• Spin-Splitting Magnetoresistance in Altermagnetic RuO2 Thin Films
• Contrasting Light-Induced Spin Torque in Antiferromagnetic and Altermagnetic Systems
• Tuning of altermagnetism by strain
• Origin of $A$-type antiferromagnetism and chiral split magnons in altermagnetic $\alpha$-MnTe
• Anomalous-Hall Neel textures in altermagnetic materials
• Tuning the magnetic properties of the spin-split antiferromagnet MnTe through pressure
• Engineering Altermagnetism via Layer Shifts and Spin Order in Bilayer MnPS${}_3$
• Ferroelectric Antiferromagnetic Lifting of Spin-Valley Degeneracy
• Noncollinear Magnetic Multipoles in Collinear Altermagnets
• Unconventional compensated magnetic material LaMn${}_2$SbO${}_6$
• Spin-Polarized Josephson Supercurrent in Nodeless Altermagnets
• Magnetic-Field and Strain Engineering of Modulated Transverse Transport in Altermagnetic Topological Materials
• An ab-initio study on engineering quantum anomalous Hall effect in compensated antiferromagnet MnBi${}_2$Te${}_4$
• Unified Magnetoelectric Mechanism for Spin Splitting in Magnets
• Matter with apparent and hidden spin physics
• Finite-momentum mixed singlet-triplet pairing in chiral antiferromagnets induced by even-parity spin texture
• Electrically switchable non-relativistic Zeeman spin splittings in collinear antiferromagnets
• Ferroelectric switchable altermagnetic-like compensated ferrimagnets with charge ordering