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Altermagnets are defined as magnetic states with fully compensated spin angular momenta (spins) and broken PT (P: parity, T: time reversal, PT: parity times time reversal) symmetry. We classify three kinds of altermagnets: M-type: broken T…

Materials Science · Physics 2025-03-19 Sang-Wook Cheong , Fei-Ting Huang

We revise existing group-theoretical approaches for a treatment of nonrelativistic collinear magnetic systems with perfect translation invariance. We show that full symmetry groups of these systems, which contain elements with independent…

Materials Science · Physics 2022-09-30 Ilja Turek

The discovery of altermagnetism offers new opportunities for exploring novel quantum states and developing spintronic devices for enabling momentum dependent spin splitting in compensated systems, while zero net magnetization limit its…

Materials Science · Physics 2026-05-22 W. Z. Zhuo , Z. H. Guan , Z. L. Peng , Y. N. Pan , J. Chen , Y. Yang , M. H. Qin

Altermagnets are a class of materials with compensated magnetic moments, in which spin sublattices are related by specific symmetries other than inversion or translation. This allows time-reversal symmetry to be broken without a net…

Altermagnetism has recently emerged as a new class of spin compensated magnetic materials that exhibit momentum dependent spin splitting despite having zero net magnetization. The origin of these electronic signatures lies in symmetry…

Materials Science · Physics 2026-03-06 Diego López-Alcalá , Andrei Shumilin , José J. Baldoví

Altermagnetism has so far mainly been understood in its even- and odd-parity forms. We show that collinear antiferromagnets with zero net magnetization can also host mixed-parity spin splitting, namely neither purely even nor purely odd in…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Zheng-Yang Zhuang , Jin-Xin Hu , Song-Bo Zhang , Lun-Hui Hu , Zhongbo Yan

Altermegnets are a class of metallic magnets characterized by spin-split electron bands. Like antiferromagnets they lack spontaneous bulk magnetisation. The standard description of the momentum dependent spin splitting of electron bands in…

Strongly Correlated Electrons · Physics 2026-04-09 Vladimir P. Mineev

Altermagnet is a class of antiferromagnets, which shows a staggered spin ordering with wave vector ${\bm q}=0$, while its net magnetization is canceled out in the limit of zero relativistic spin-orbit coupling. The simplest case is when the…

Strongly Correlated Electrons · Physics 2024-11-19 Makoto Naka , Yukitoshi Motome , Hitoshi Seo

Altermagnets are a novel class of fully spin-compensated magnetic materials that nevertheless have spin-split electronic bands, offering novel perspectives for spintronics applications. Based on a rigorous analysis of altermagnetic…

The Pauli exclusion principle combined with interactions between fermions is a basic mechanism across condensed-matter systems giving rise to a spontaneous breaking of the spin-space rotation symmetry of spin-ordered phases. Ferromagnetism…

Materials Science · Physics 2025-03-13 T. Jungwirth , R. M. Fernandes , E. Fradkin , A. H. MacDonald , J. Sinova , L. Smejkal

Altermagnets are metals with a momentum-dependent spin splitting of electron bands due to a specific crystal structure that is invariant under time reversal only in combination with rotations and reflections, or lacks time reversal…

Strongly Correlated Electrons · Physics 2026-02-23 V. P. Mineev

Altermagnets are collinear antiferromagnets with spin-split electronic states. We introduce Ruddlesden-Popper chromates Sr$_{n+1}$Cr$_n$O$_{3n+1}$ (including SrCrO$_3$) as candidate materials in which altermagnetism can emerge from…

Materials Science · Physics 2026-03-23 Quintin N. Meier , Alberto Carta , Claude Ederer , Andres Cano

The research landscape of magnetism has been recently enriched by the discovery of altermagnetism. It is an unconventional phase of matter characterized by a d-wave (or higher even-parity-wave) collinear compensated spin ordering, which…

Materials Science · Physics 2025-08-14 T. Jungwirth , J. Sinova , P. Wadley , D. Kriegner , H. Reichlova , F. Krizek , H. Ohno , L. Smejkal

The newly discovered altermagnets are unconventional collinear compensated magnetic systems, exhibiting even (d, g, or i-wave) spin-polarization order in the band structure, setting them apart from conventional collinear ferromagnets and…

Materials Science · Physics 2024-02-02 Atasi Chakraborty , Rafael González Hernández , Libor šmejkal , Jairo Sinova

Altermagnetism is a newly identified magnetic phase, distinct from conventional ferromagnetism and antiferromagnetism. It exhibits no net magnetization while breaking time-reversal symmetry. Although its momentum-space signatures are…

Materials Science · Physics 2026-04-22 Daran Fu , Liu Yang , Yi Shen , Kebin Xiao , Yuyang Wang , Wei Jiang , Zhiwei Wang , Yugui Yao , Qi-Kun Xue , Wei Li

Altermagnetism represents a type of collinear magnetism, that is in some aspects distinct from ferromagnetism and from conventional antiferromagnetism. In contrast to the latter, sublattices of opposite spin are related by spatial rotations…

Quantum Gases · Physics 2024-11-26 Purnendu Das , Valentin Leeb , Johannes Knolle , Michael Knap

Altermagnets are a newly discovered class of magnetic phases that combine the spin polarization behavior of ferromagnetic band structures with the vanishing net magnetization characteristic of antiferromagnets. Initially proposed for…

Materials Science · Physics 2025-12-11 Mengli Hu , Oleg Janson , Claudia Felser , Paul McClarty , Jeroen van den Brink , Maia G. Vergniory

Altermagnets exhibit spontaneously spin-split electronic bands in the zero spin-orbit coupling (SOC) limit arising from the presence of collinear compensated magnetic order. The distinctive magneto-crystalline symmetries of altermagnets…

Strongly Correlated Electrons · Physics 2025-10-03 Hana Schiff , Paul McClarty , Jeffrey G. Rau , Judit Romhanyi

Antiferromagnetism, initially considered interesting but useless, recently emerged as one of the most promising magnetic phases for technology. Recently, a low symmetry antiferromagnetic phase, known as altermagnetic phase, have been…

Materials Science · Physics 2025-02-05 Suman Rooj , Sugandha Saxena , Nirmal Ganguli