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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 combination of a centrosymmetric crystallographic structure with local structural alternations and collinear antiferromagnetism can lead to broken PT (Parity $\times$ Time-reversal) symmetry, resulting in altermagnets with…

Materials Science · Physics 2025-08-01 S. V. Streltsov , S. -W. Cheong

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 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 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

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 introduced as a category of magnetic states with vanishing net magnetic moment, and consists of collinear alternating (i.e., antiferromagnetic-like) spins and alternating variations of local structures around spins in such…

Strongly Correlated Electrons · Physics 2024-01-26 Sang-Wook Cheong , Fei-Ting Huang

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

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

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

Recently, a new class of magnetic phenomenon, called altermagnetism, was proposed where the underlying spin configuration resembles antiferromagnetic structure, but the system violates \textbf{PT} (PT: Parity times Time reversal) symmetry…

Materials Science · Physics 2024-06-25 Deepak K. Singh , Sang-Wook Cheong , Jiasen Guo

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, a novel magnetic phase characterized by symmetry-protected, momentum-dependent spin splitting and collinear compensated magnetic moments, has thus far been explored primarily in periodic crystals. In this Letter, we extend…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Yiming Li , Mingxiang Pan , Jun Leng , Yuxiao Chen , Huaqing Huang

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

Altermagnet is an emerging antiferromagnetic material subclass that exhibits spin-splitting in momentum space without net global magnetization and spin-orbit-coupling effect. In this work, we develop a model of thermal charge injection…

Mesoscale and Nanoscale Physics · Physics 2023-10-18 Yee Sin Ang

This article is dedicated to the 60-th anniversary of the Landau Institute for Theoretical Physics and presents a review of normal and superconducting properties of toroidal, altermagnetic, and noncentrosymmetric metals. Metals with…

Strongly Correlated Electrons · Physics 2026-02-05 V. P. Mineev

Nanoscale detection and control of the magnetic order underpins a broad spectrum of fundamental research and practical device applications. The key principle involved is the breaking of time-reversal ($\cal{T}$) symmetry, which in…

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

The recent discovery of altermagnetism has sparked growing interest in compensated magnetic systems as promising platforms for highly scalable spintronics. Altermagnetism is a distinct magnetic order where opposite spin sublattices are…

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