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Altermagnets are a recently discovered class of magnetic materials that combine a collinear, zero-magnetization spin structure, characteristic of antiferromagnets, with spin-split electronic bands, a hallmark of ferromagnets. This unique…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Rui Chen , Bin Zhou , Dong-Hui Xu

The search for novel magnetic quantum phases, phenomena and functional materials has been guided by relativistic magnetic-symmetry groups in coupled spin and real space from the dawn of the field in 1950s to the modern era of topological…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Libor Šmejkal , Jairo Sinova , Tomas Jungwirth

Altermagnetism is a collinear compensated magnetically-ordered phase with a d, g or i-wave anisotropy and alternating spin polarization of the electronic structure in the position and momentum space. Its recent discovery was in part…

Altermagnetism (AM), an unconventional magnetic phase characterized by zero net magnetism protected by symmetry(s) other than parity-time ($\mathcal{P}\mathcal{T}$) and a resulting spin-split band, has been studied exclusively in…

Strongly Correlated Electrons · Physics 2025-09-24 Zhi-Yan Shao , Chen Lu , Zhiming Pan , Yu-Bo Liu , Fan Yang

Recent developments have introduced a groundbreaking form of collinear magnetism known as "altermagnetism". This emerging magnetic phase is characterized by robust time-reversal symmetry breaking, antiparallel magnetic order, and…

Materials Science · Physics 2024-09-18 Ling Bai , Wanxiang Feng , Siyuan Liu , Libor Šmejkal , Yuriy Mokrousov , Yugui Yao

Altermagnetism is a collinear magnetic order in which opposite spin species are exchanged under a real-space rotation. Hence, the search for physical realizations has focussed on crystalline solids with specific rotational symmetry. Here,…

Strongly Correlated Electrons · Physics 2026-02-12 Peru d'Ornellas , Valentin Leeb , Adolfo G. Grushin , Johannes Knolle

Altermagnets are a novel class of magnetic systems characterized by their momentum-dependent spin splitting without net magnetization. In this work, we extend established Euclidean tight-binding models of altermagnets to regular hyperbolic…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Eric Petermann , Kristian Mæland , Haye Hinrichsen , Björn Trauzettel

Altermagnetism is a compensated magnetic phase characterized by zero net magnetization and exchange-driven spin splitting. However, identifying altermagnets among collinear antiferromagnets usually requires full magnetic-space-group or…

Materials Science · Physics 2026-05-27 Ying Chen , Qiushi Huang , Yu Wu , Xiaolan Yan , Su-Huai Wei

Altermagnet is a newly discovered magnetic phase, characterized by non-relativistic spin-splitting that has been experimentally observed. Here, we introduce a framework dubbed {\it spin-orbital altermagnetism} to achieve spin-orbital…

Strongly Correlated Electrons · Physics 2025-09-22 Zi-Ming Wang , Yang Zhang , Song-Bo Zhang , Jin-Hua Sun , Elbio Dagotto , Dong-Hui Xu , Lun-Hui Hu

Altermagnetism has emerged as a third type of collinear magnetism. In contrast to standard ferromagnets and antiferromagnets, altermagnets exhibit extra even-parity wave spin order parameters resulting in a spin-splitting of electronic…

Strongly Correlated Electrons · Physics 2024-06-17 Valentin Leeb , Alexander Mook , Libor Šmejkal , Johannes Knolle

Altermagnetism refers to a wide class of magnetic orders featuring magnetic sublattices with opposite spins related by rotational symmetries, resulting in non-trivial spin splitting and magnetic multipoles. However, the direct observation…

This article explores the deep interconnections among three seemingly unrelated concepts in condensed matter physics: electronic liquid crystal phases, multipole expansions, and altermagnetism. At the heart of these phenomena lies a shared…

Superconductivity · Physics 2025-10-13 Zhao Liu , Hui Hu , Xia-Ji Liu

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

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

Altermagnetism is characterized by even-parity spin-momentum locking in spin-split bands despite zero net magnetization and negligible spin-orbit coupling. Here, we formulate a microscopic framework that links altermagnetic splitting in…

Materials Science · Physics 2026-05-26 Yixuan Che , Peibo Xu , Haifeng Lv , Xiaojun Wu , Jinlong Yang

Aperiodicity and un-conventional rotational symmetries allow quasicrystalline structures to exhibit unprecedented physical and functional properties. In magnetism, artificial ferromagnetic quasicrystals exhibited knee anomalies suggesting…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Vinayak Shantaram Bhat , Sho Watanabe , Florian Kronast , Korbinian Baumgaertl , Dirk Grundler

Recently, a new magnetic phase, termed altermagnetism, has caught the attention of the magnetism and spintronics community. This newly discovered magnetic phenomenon differs from traditional ferromagnetism and antiferromagnetic. It…

Strongly Correlated Electrons · Physics 2024-12-10 R. Tamang , Shivraj Gurung , D. P. Rai , Samy Brahimi , Samir Lounis

Altermagnets, which encompass a broad landscape of materials, are compensated collinear magnetic phases in which the antiparallel magnetic moments are related by a crystalline rotation. Here, we argue that collinear altermagnetic-like…

Strongly Correlated Electrons · Physics 2025-10-24 Anzumaan R. Chakraborty , Fan Yang , Turan Birol , Rafael M. Fernandes

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

Altermagnetism is a recently identified phase with a d, g or i-wave spin symmetry of magnetic ordering. Its discovery opens new research fronts at intersections of magnetism and spintronics with fields ranging from superconductivity to…

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