Description of two-dimensional altermagnetism: Categorization using spin group theory

Abstract

Altermagnetism, recently spotlighted in condensed matter physics, presents captivating physical properties and holds promise for spintronics applications. This study delves into the theoretical description and categorization of two-dimensional altermagnetism using spin group theory. Employing spin-group formalism, we establish seven distinct spin layer groups, extending beyond the conventional five spin Laue groups, to describe two-dimensional altermagnetism. Utilizing these findings, we classify previously reported two-dimensional altermagnets and identify novel materials exhibiting altermagnetism. Specifically, monolayer MnTeMoO${}_6$ and VP${}_2$H${}_8$(NO${}_4$)${}_2$ are predicted to be two-dimensional altermagnets. Furthermore, we scrutinize their spin-momentum locking characteristics through symmetry analysis and density functional theory calculations, substantiating their altermagnetic properties.

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• Altermagnetic phase transition in a Lieb metal
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• Tuning of altermagnetism by strain
• Multiferroic nematic d-wave altermagnetism driven by orbital-order on the honeycomb lattice
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• Engineering Altermagnetism via Layer Shifts and Spin Order in Bilayer MnPS${}_3$
• A large spin-splitting altermagnet designed from the hydroxylated MBene monolayer
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• Tunable altermagnetism via inter-chain engineering in parallelassembled atomic chains
• Achieving Altermagnetism in Monolayer Holey Graphyne via Atomic Manipulation
• $d$-Wave Polarization-Spin Locking in Two-Dimensional Altermagnets
• Spin Currents in Rashba Altermagnets: From Equilibrium to Nonlinear Regimes
• Rational Control of Magnonic and Electronic Band Splittings
• Multipole order in two-dimensional altermagnets
• Spin-biased quantum spin Hall effect in altermagnetic Lieb lattice
• Fermi liquid theory of $d$-wave altermagnets: demon modes and Fano-demon states
• Bipolarized Weyl semimetals and quantum crystal valley Hall effect in two-dimensional altermagnetic materials
• Altermagnetism from the viewpoint of chemistry
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Coexistence of d-Wave Altermagnetism and Topological States in Janus FeSeX (X = S, Te) Monolayers