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Altermagnetism has surfaced as a novel magnetic phase, bridging the properties of ferro- and anti-ferromagnetism. The momentum-dependent spin-splitting observed in these materials reflects their unique symmetry characteristics, which also…

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

Antiferromagnetic spintronics is an emerging research field whose focus is on the electrical and optical control of the antiferromagnetic order parameter and its utility in information technology devices. An example of recently discovered…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 O. Gomonay , T. Jungwirth , J. Sinova

Compensated magnetic orders that can split the spin-degeneracy of electronic bands have become a very active field of research. As opposed to spin-orbit coupling, the splitting resulting from these "altermagnets" is not a small relativistic…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Saurav Sachin , Mathias S. Scheurer , Constantin Schrade , Sujit Manna

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 constitute a novel, third fundamental class of collinear magnetic ordered materials, alongside with ferro- and antiferromagnets. They share with conventional antiferromagnets the feature of a vanishing net magnetization. At the…

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 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

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…

Non-reciprocal superconductivity, also known as the superconducting diode effect, has been extensively studied in the presence of a magnetic field or some form of ferromagnetic order breaking time-reversal symmetry. We here show that…

Superconductivity · Physics 2024-07-31 Sayan Banerjee , Mathias S. Scheurer

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

Altermagnets, a class of unconventional antiferromagnets where antiparallel spins are connected by combined rotational and translational symmetries, have recently emerged as promising candidates for spintronic applications, as they can…

Materials Science · Physics 2026-04-07 Ryosuke Hirakida , Karma Tenzin , Chao Chen Ye , Berkay Kilic , Carmine Autieri , Jagoda Sławińska

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

An altermagnet is a recently identified class of magnets that exhibit a zero net magnetic moment but break symmetry under the combined operations of parity and time reversal. It typically consists of two magnetic sites of opposite spins…

Strongly Correlated Electrons · Physics 2026-05-04 G. Channagowdra , A. Singh , H. Y. Huang , M. Furo , Bin Gao , Pengcheng Dai , C. T. Chen , J. Kunes , A. Fujimori , S-W. Cheong , A. Hariki , D. J. Huang

Altermagnetism is a novel magnetic phase combining characteristics of both antiferromagnetism and ferromagnetic ordering. Despite growing theoretical interest in altermagnetic materials, reports of experimentally verified high Neel…

Magnetoelectric coupling is crucial for uncovering fundamental phenomena and advancing technologies in high-density data storage and energy-efficient devices. The emergence of altermagnets, which unify the advantages of ferromagnets and…

Materials Science · Physics 2025-03-18 Xunkai Duan , Jiayong Zhang , Ziye Zhu , Yuntian Liu , Zhenyu Zhang , Igor Zutic , Tong Zhou

Symmetry plays a fundamental role in condensed matter. The unique entanglement between magnetic sublattices and alternating crystal environment in altermagnets provides a unique opportunity for designing magnetic space symmetry. There have…

Materials Science · Physics 2024-03-13 Zhiyuan Zhou , Xingkai Cheng , Mengli Hu , Junwei Liu , Feng Pan , Cheng Song

Altermagnets, characterized by zero net magnetization and momentum-dependent spin splitting, have recently garnered significant attention due to their potential applications in a variety of fields. Here, we propose a symmetry-engineering…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Dong Liu , Sike Zeng , Ji-Hai Liao , Yu-Jun Zhao

Altermagnets recently came into the spotlight as a new class of magnetic materials, arising as a consequence of specific crystal symmetries. They are characterized by a spin-polarized electronic band structure similar to ferromagnets, but…

Magnetic phases are commonly identified through macroscopic magnetization, yet many ordered states, including antiferromagnets and altermagnets, possess a vanishing net moment despite distinct local spin structure. We show that such an…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Rishith Reddy , Parveen Kumar , Ankur Das
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