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The terminology "altermagnetism" has recently been adopted to describe collinear magnetic order with no net magnetization and non-relativisitic, momentum-dependent spin-splitting. The archetypal material used to theoretically explore…

The development of altermagnets is fundamentally important for advancing spintronic device technology, but remains unpractical for the weak spin splitting in most cases, especially in two-dimensional materials. Based on spin group symmetry…

Materials Science · Physics 2026-02-03 Xinyu Yang , Shan-Shan Wang , Shuai Dong

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

Altermagnets, a distinct class of antiferromagnets with electronic structures resembling those of d-wave superconductors, exhibit intriguing properties that have gained significant attention in recent research. In this article, we propose…

Materials Science · Physics 2024-12-04 Ali Asgharpour , Bert Koopmans , Rembert A. Duine

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

Altermagnetism is a newly discovered magnetic class named after the alternating spin polarizations in both real and reciprocal spaces. Like the spin-splitting of electronic bands, the magnon bands in altermagnets are predicted to exhibit…

Strongly Correlated Electrons · Physics 2024-10-16 Zheyuan Liu , Makoto Ozeki , Shinichiro Asai , Shinichi Itoh , Takatsugu Masuda

The advent of altermagnetism, a new phase of magnetism, has garnered significant interest due to its extraordinary spin-polarized electronic bands despite zero net magnetization. Such spin-symmetry-guided robust non-relativistic alternating…

Materials Science · Physics 2025-04-15 Anil Kumar Singh , Pritam Deb

We propose and characterize a novel two-dimensional material, 2D-CRO, derived from bulk calcium-based ruthenates (CROs) of the Ruddlesden-Popper family, Ca$_{n+1}$Ru$_n$O$_{3n+1}$ ($n = 1$ and $2$). Using density functional theory, we…

Materials Science · Physics 2025-02-03 J. W. González , A. M León , C. González-Fuentes , R. A. Gallardo

Recently, a novel magnetic phase called altermagnetism has been proposed, ushering in a third distinct magnetic phase beyond ferromagnetism and antiferromagnetism. It is expected that this groundbreaking phase exhibits unique physical…

Altermagnets have recently emerged as a new class of magnetic materials sharing properties of both antiferromagnets and ferromagnets. Despite very small net magnetization, they show phenomena usually associated with ferromagnetism, such as…

Materials Science · Physics 2025-06-03 Maxim Mostovoy

Altermagnetism has been recently experimentally verified by photoemission mapping of the spin order in momentum space in MnTe and CrSb, which feature two anisotropic sublattices with antiparallel magnetic dipole moments. In this work, we…

Magnetism is one of the largest, most fundamental, and technologically most relevant fields of condensed-matter physics. Traditionally, two basic magnetic phases have been considered -- ferromagnetism and antiferromagnetism. The breaking of…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Libor Šmejkal , Jairo Sinova , Tomas Jungwirth

Two-dimensional (2D) altermagnetism was recently proposed to be attainable in twisted antiferromagnetic bilayers providing an experimentally feasible approach to realize it in 2D materials. Nevertheless, a comprehensive understanding of the…

Materials Science · Physics 2024-09-17 Baoru Pan , Pan Zhou , Pengbo Lyu , Huaping Xiao , Xuejuan Yang , Lizhong Sun

Altermagnets host an array of magnetic multipoles, which are often visualized and studied in the reciprocal space. In the real space, the relative phase of the multipoles of the spin-density around atoms determines whether a system is an…

Materials Science · Physics 2026-01-01 Luca Buiarelli , Rafael M. Fernandes , Turan Birol

While the understanding of altermagnetism is still at a very early stage, it is expected to play a role in various fields of condensed matter research, for example spintronics, caloritronics and superconductivity. In the field of optical…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 T. Adamantopoulos , M. Merte , F. Freimuth , D. Go , M. Ležaić , W. Feng , Y. Yao , J. Sinova , L. Šmejkal , S. Blügel , Y. Mokrousov

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 colinear compensated magnets whose magnetic symmetries at zero spin-orbit coupling break spin degeneracy leading to spin-split electronic and magnonic bands that reflect an underlying multipolar order. When there is an…

Strongly Correlated Electrons · Physics 2024-10-15 P. A. McClarty , A. Gukasov , J. G. Rau

Altermagnetism, a recently discovered magnetic phase characterized by spin-split bands without net magnetization, has emerged as promising platform for novel physics and potential applications. However, its stability against…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Chang-An Li , Bo Fu , Huaiming Guo , Björn Trauzettel , Song-Bo Zhang

Altermagnetism is an emerging series of unconventional magnetic materials characterized by time-reversal symmetry breaking and spin-split bands in the momentum space with zero net magnetization. Metallic altermagnets offer unique advantages…

Materials Science · Physics 2025-02-20 Weiwei Sun , Mingzhuang Wang , Baisheng Sa , Shaui Dong , Carmine Autieri

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