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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

We establish a quantitative relation between the altermagnetic spin-splitting and different higher order multipoles of the charge and magnetization density around the magnetic atoms. Magnetic multipoles such as octupoles or triakontadipoles…

Materials Science · Physics 2025-12-22 Francesco Martinelli , Anouk Droux , Claude Ederer

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

We demonstrate the emergence of altermagnetism at the surfaces of antiferromagnets, vastly expanding the number of material candidates with altermagnetic characteristics and establishing a route to two-dimensional altermagnetism through…

Recent works have predicted materials featuring bands with a large spin-splitting distinct from ferromagnetic and relativistically spin-orbit coupled systems. Materials displaying this property are known as altermagnets and feature a…

Superconductivity · Physics 2023-08-15 Chi Sun , Arne Brataas , Jacob Linder

Materials which show a strong time-reversal symmetry-breaking response leading to spin-polarization phenomena, in conjunction with antiparallel magnetic alignments producing zero net magnetization, have recently been identified, classified,…

Materials Science · Physics 2025-11-04 Wenhan Chen , Alyn D. N. James , Stephen B. Dugdale

Bringing magnetic metals into superconducting states represents an important approach for realizing unconventional superconductors and potentially even topological superconductors. Altermagnetism, classified as a third basic collinear…

Superconductivity · Physics 2023-11-07 Di Zhu , Zheng-Yang Zhuang , Zhigang Wu , Zhongbo Yan

Altermagnets constitute a new class of magnetic materials that combine properties previously thought to be exclusive to either antiferromagnets or ferromagnets, and have unique properties of their own. In particular, a combination of…

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

Altermagnets break a combination of time-reversal and rotational symmetries without generating a net magnetization. As such, the order parameter of $d$-wave altermagnets has the same symmetry as magnetic multipoles, and couples to the…

I present a tensorial approach to the description of $\vec{k}/-\vec{k}$-symmetric, time-reversal-odd splitting of electronic bands in magnetic materials, which can be of non-relativistic origin and was recently given the name of…

Strongly Correlated Electrons · Physics 2024-08-22 Paolo G. Radaelli

Altermagnets are a new class of magnetic materials characterized by fully compensated spins arranged in alternating local structures, allowing for spin-split bands similar to those found in ferromagnets without net magnetism. Recently, MnTe…

Altermagnetism, a newly discovered magnetic order, combines zero net magnetization with non-relativistic spin splitting of electronic bands. Its ability to utilize the advantages of both antiferromagnets and ferromagnets is highly promising…

Altermagnetism has recently drawn considerable attention in three- and twodimensional materials. Here, we extend this concept to quasi-one-dimensional (Q1D) monolayers assembled from single-atomic magnetic chains. Through systematically…

Materials Science · Physics 2025-07-04 Deping Guo , Canbo Zong , Weihan Zhang , Cong Wang , Junwei Liu , Wei Ji

Altermagnets are compensated collinear magnets that break time-reversal symmetry without net magnetization, enabling unconventional magneto-optical responses. Here, altermagnetic X-ray magnetic circular dichroism (XMCD) is experimentally…

Strongly Correlated Electrons · Physics 2026-03-03 Y. Ishii , N. Sasabe , Y. Yamasaki

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…

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

Altermagnets feature vanishing net magnetization, like antiferromagnets, but exhibit time-reversal symmetry breaking and momentum-dependent spin-split band structures. Motivated by the prevalence of altermagnetic materials with…

Strongly Correlated Electrons · Physics 2024-10-10 Mercè Roig , Andreas Kreisel , Yue Yu , Brian M. Andersen , Daniel F. Agterberg

Borides are a rich material family. To push the boundaries of borides' properties and applications into broader fields, we have conducted systematic theoretical and experimental searches for synthesizable phases in ternary borides…

Altermagnets are a new class of magnetic materials, which exhibit large spin splitting, but due to the combined spin and real space group symmetry protection maintain zero net macroscopic magnetization. Such a characteristic may prove them…

Superconductivity · Physics 2023-10-18 Michał Papaj