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Nonrelativistic spin splitting (NRSS) challenges conventional wisdom about antiferromagnets by allowing spin-split electronic bands even in collinear orders with zero net magnetization. This sub-class of antiferromagnets, recently dubbed…

Altermagnets are an emerging third elementary class of magnets. Unlike ferromagnets, their distinct crystal symmetries inhibit magnetization while, unlike antiferromagnets, they promote strong spin polarization in the band structure. The…

Altermagnets, which encompass a broad landscape of materials, are compensated collinear magnetic phases in which the antiparallel magnetic moments are related by a crystalline rotation. Here, we argue that collinear altermagnetic-like…

Strongly Correlated Electrons · Physics 2025-10-24 Anzumaan R. Chakraborty , Fan Yang , Turan Birol , Rafael M. Fernandes

We investigate noncollinear effects in antiferromagnetically coupled clusters using the general, rotationally invariant form of local spin-density theory. The coupling to the electronic degrees of freedom is treated with relativistic…

Atomic and Molecular Clusters · Physics 2009-10-31 C. Kohl , G. F. Bertsch

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

In an altermagnet, the symmetry that relates configurations with flipped magnetic moments is a rotation. This makes it qualitatively different from a ferromagnet, where no such symmetry exists, or a collinear antiferromagnet, where this…

Mesoscale and Nanoscale Physics · Physics 2024-01-04 Rafael M. Fernandes , Vanuildo S. de Carvalho , Turan Birol , Rodrigo G. Pereira

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…

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…

The recent interest in non-Hermitian (NH) systems has significantly broadened their application across condensed matter physics, offering a unique framework to explore out-of-equilibrium phenomena. Simultaneously, altermagnets have emerged…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 J. H. Correa , M. P. Nowak , A. Pezo

The hexagonal MnTe is a prime material candidate for altermagnets, an emerging class of magnetic compounds characterized by the nontrivial interplay of antiparallel spin arrangements with their underlying crystal structures. Recognizing…

Materials Science · Physics 2025-03-25 Ao Wu , Di Cheng , Xinyun Wang , Meng Zeng , Chang Liu , Xinwei Li

We investigate the altermagnetic properties of strongly-correlated transition metal oxides considering the family of the quasi two-dimensional A2BO4 and three-dimensional ABO3. As a test study, we analyze the Mott insulators Ca2RuO4 and…

Strongly Correlated Electrons · Physics 2023-09-06 Giuseppe Cuono , Raghottam M. Sattigeri , Jan Skolimowski , Carmine Autieri

We classify line nodes in superconductors with strong spin-orbit interactions and time-reversal symmetry, where the latter may include non-primitive translations in the magnetic Brillouin zone to account for coexistence with…

Superconductivity · Physics 2017-05-24 T. Micklitz , M. R. Norman

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

Conducting altermagnets have recently emerged as intriguing materials supporting strongly spin-polarized currents without magnetic stray fields. We demonstrate that altermagnets enable three key functionalities, merging superconductivity…

Superconductivity · Physics 2024-10-23 Hans Gløckner Giil , Bjørnulf Brekke , Jacob Linder , Arne Brataas

We propose the sublattice currents as a feasible route to odd-parity altermagnetism (ALM), where nonrelativistic collinear spin splitting occurs in the bands as an odd function of momentum. In contrast to previously classified ALMs, the…

Strongly Correlated Electrons · Physics 2026-01-16 Yu-Ping Lin , Marc Vila

The recent discovery of altermagnetism has demonstrated that spin-split electronic band structures can emerge in magnetic systems with zero net magnetization. In contrast, fully compensated ferrimagnetic (fFIM) systems remain far less…

Materials Science · Physics 2026-03-17 Jin-Yang Li , Yong-Kun Wang , Ying Zhang , Si Li , Wen-Li Yang

Altermagnetic metals break time-reversal symmetry and feature spin-split Fermi surfaces generated by compensated N\'eel-ordered collinear magnetic moments. Being metallic, such altermagnets may undergo a further instability at low…

Odd-parity magnets (OPMs) have recently emerged as a new magnetic class, but their general symmetry criteria remain elusive. In this Letter, we establish these criteria through a comprehensive spin group symmetry analysis. Concretely, we…

Other Condensed Matter · Physics 2026-01-08 Xun-Jiang Luo , Jin-Xin Hu , Meng-Li Hu , K. T. Law

The recent research interests in the non-relativistic spin splitting of electronic band structures have led to the exploration of altermagnets and other compensated magnets. Here, we show that various types of non-relativistic spin…

Materials Science · Physics 2025-01-03 Yunsong Liu , Yanlong Liu , Xuefei Wang , Nan Xia , Guifang Xu , Yi Wang , Haifeng Wang , Weiwei Gao , Jijun Zhao

In 3d-electron magnetic systems, the magnetic structures that transform each other by spin rotation have very close degenerate energies due to small spin-orbit coupling and can be easily controlled by chemical substitution and external…

Materials Science · Physics 2025-11-20 Vu Thi Ngoc Huyen , Yuki Yanagi , Michi-To Suzuki