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Related papers: Altermagnetic lifting of Kramers spin degeneracy

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Altermagnetism is a newly identified fundamental class of magnetism with vanishing net magnetization and time-reversal symmetry broken electronic structure. Probing the unusual electronic structure with nonrelativistic spin splitting would…

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

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

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

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

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

Altermagnets are a newly identified type of collinear anti-ferromagnetism with vanishing net magnetic moment, characterized by lifted Kramers' degeneracy in parts of the Brillouin zone. Their time-reversal symmetry broken band structure has…

Strongly Correlated Electrons · Physics 2025-06-03 Niclas Heinsdorf

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

Compensated magnets with vanishing net magnetization can exhibit both pronounced spin splitting and unconventional band degeneracies. In altermagnets, such degeneracies are enforced by crystal and magnetic symmetries. In compensated…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Seung Hun Lee , Yuting Qian , Xi Dai , Bohm-Jung Yang

The research landscape of magnetism has been recently enriched by the discovery of altermagnetism. It is an unconventional phase of matter characterized by a d-wave (or higher even-parity-wave) collinear compensated spin ordering, which…

Materials Science · Physics 2025-08-14 T. Jungwirth , J. Sinova , P. Wadley , D. Kriegner , H. Reichlova , F. Krizek , H. Ohno , L. Smejkal

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 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…

The newly discovered altermagnets are unconventional collinear compensated magnetic systems, exhibiting even (d, g, or i-wave) spin-polarization order in the band structure, setting them apart from conventional collinear ferromagnets and…

Materials Science · Physics 2024-02-02 Atasi Chakraborty , Rafael González Hernández , Libor šmejkal , Jairo Sinova

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 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

Altermagnets -- newly identified collinear antiferromagnets -- carry zero net moment with non-relativistic, spin-polarized bands, distilling the best of ferromagnets and antiferromagnets into a single spintronic platform. Shrunking to the…

Materials Science · Physics 2026-04-14 Sike Zeng , Dong Liu , Hongjie Peng , Chang-Chun He , Xiao-Bao Yang , Yu-Jun Zhao

Altermagnets, characterized by spin-split bands without net magnetization, have recently emerged as a promising platform for spintronics. However, their microscopic mechanisms remain elusive, often relying on abstract group theory. In this…

Materials Science · Physics 2025-12-02 Suyoung Lee , Minjae Kim , Changyoung Kim

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

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
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