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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

Altermagnets are a class of collinear magnets that exhibit non-relativistic spin splitting (NRSS) of electronic bands in the absence of net magnetization. Their potential to generate large spin polarization without spin-orbit coupling has…

Materials Science · Physics 2025-11-21 V. Sunko , J. Orenstein

Altermagnetism represents an emergent collinear magnetic phase with compensated order and an unconventional alternating even-parity wave spin order in the non-relativistic band structure. We investigate directly this unconventional band…

Altermagnets constitute an emerging class of collinear magnets that exhibit zero net magnetization yet host spin-split electronic bands arising from non-relativistic spin-space-group symmetries. Realization of altermagnetism in the…

Altermagnetism (AM), the recently discovered third class of collinear magnetic order, is characterized by non-relativistic momentum-dependent spin-split electronic structure with compensated zero net magnetization. It can arise from the…

Strongly Correlated Electrons · Physics 2025-07-02 Jin-Wei Dong , Yu-Han Lin , Ruiqing Fu , Xianxin Wu , Gang Su , Ziqiang Wang , Sen Zhou

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…

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

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…

Altermagnetism, as a new branch of magnetism independent of traditional ferromagnetism and antiferromagnetism, has attracted extensive attention recently. At present, researchers have proved several kinds of three-dimensional altermagnets,…

Materials Science · Physics 2024-12-13 Wencong Sun , Haoshen Ye , Li Liang , Ning Ding , Shuai Dong , Shan-shan Wang

Altermagnetism refers to a wide class of magnetic orders featuring magnetic sublattices with opposite spins related by rotational symmetries, resulting in non-trivial spin splitting and magnetic multipoles. However, the direct observation…

Altermagnet (AM) is a novel time reversal symmetry broken magnetic phase with $d$-wave order which has been experimentally realized recently. We discuss theoretical models of altermagnet based systems on lattice and in continuum. We show…

Mesoscale and Nanoscale Physics · Physics 2023-08-03 Sachchidanand Das , Dhavala Suri , Abhiram Soori

Altermagnetism, a recently proposed and experimentally confirmed class of magnetic order, features collinear compensated magnetism with unconventional d-, g-, or i-wave spin order. Here, we show that in a metallic 2D d-wave altermagnet with…

We explore the possibilities for spin-singlet superconductivity in newly discovered altermagnets. Investigating $d$-wave altermagnets, we show that finite-momentum superconductivity can easily emerge in altermagnets even though they have no…

Superconductivity · Physics 2024-03-29 Debmalya Chakraborty , Annica M. Black-Schaffer

Altermagnetism is a newly identified phase of magnetism distinct from ferromagnetism and antiferromagnetism. RuO$_2$ has been considered a prototypical metallic altermagnet with a critical temperature higher than room temperature. Previous…

Materials Science · Physics 2025-09-17 Dai Q. Ho , D. Quang To , Ruiqi Hu , Garnett W. Bryant , Anderson Janotti

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 new class of symmetry-compensated magnets with large spin splittings. Here, we show that the notion of altermagnetism extends beyond the realm of Landau-type order: we study exactly solvable $\mathbb{Z}_2$ quantum…

Strongly Correlated Electrons · Physics 2025-12-23 Avedis Neehus , Achim Rosch , Johannes Knolle , Urban F. P. Seifert

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

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

We introduce the concept of \emph{orbital altermagnetism}, a symmetry-protected magnetic order of pure orbital degrees of freedom. It is characterized with ordered anti-parallel orbital magnetic moments in real space but momentum-dependent…

Materials Science · Physics 2026-05-22 Mingxiang Pan , Feng Liu , Huaqing Huang

Altermagnets break time-reversal symmetry and their spin-orbit coupling (SOC) allow for an anomalous Hall effect (AHE) that depends on the direction of the N\'eel ordering vector. The AHE and the ferromagnetic spin moment share the same…

Strongly Correlated Electrons · Physics 2025-07-03 Mercè Roig , Yue Yu , Rune C. Ekman , Andreas Kreisel , Brian M. Andersen , Daniel F. Agterberg