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The recent discovery of altermagnets has opened new perspectives in the field of ordered phases in condensed matter. In strongly-correlated superfluids, the nodal p-wave and d-wave ordered phases of $^{3}$He and cuprates play a prominent…

Materials Science · Physics 2024-09-17 Tomas Jungwirth , Rafael M. Fernandes , Jairo Sinova , Libor Smejkal

Altermagnetism is a collinear compensated magnetically-ordered phase with a d, g or i-wave anisotropy and alternating spin polarization of the electronic structure in the position and momentum space. Its recent discovery was in part…

The recent discovery of altermagnetism has sparked growing interest in compensated magnetic systems as promising platforms for highly scalable spintronics. Altermagnetism is a distinct magnetic order where opposite spin sublattices are…

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…

MnTe has recently attracted attention as an altermagnetic candidate. Experimentally it has an altermagnetic order of ferromagnetic $ab$ planes, stacked antiferromagnetically along $c$. We show that this magnetic order (by itself…

Materials Science · Physics 2025-07-08 I. I. Mazin

Nanoscale detection and control of the magnetic order underpins a broad spectrum of fundamental research and practical device applications. The key principle involved is the breaking of time-reversal ($\cal{T}$) symmetry, which in…

Altermagnetism is an emerging series of unconventional magnetic materials characterized by time-reversal symmetry breaking and spin-split bands in the momentum space with zero net magnetization. Metallic altermagnets offer unique advantages…

Materials Science · Physics 2025-02-20 Weiwei Sun , Mingzhuang Wang , Baisheng Sa , Shaui Dong , Carmine Autieri

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 represent a new class of magnetic phases without net magnetization that are invariant under a combination of rotation and time reversal. Unlike conventional collinear antiferromagnets (AFM), altermagnets could lead to new…

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 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

Altermagnetism, as an unconventional antiferromagnetism, exhibits collinear-compensated magnetic order in real space and spin-splitting band structure in reciprocal space. In this work, we propose a general approach to generating…

Materials Science · Physics 2025-05-15 Hongjie Peng , Sike Zeng , Ji-Hai Liao , Chang-Chun He , Xiao-Bao Yang , Yu-Jun Zhao

Electronic phases of matter, such as magnetism and superconductivity, are defined and distinguished by their order parameters that quantify the spontaneous symmetry breaking underlying each phase. The simplest cases are the uniform…

Altermagnets, a distinct class of antiferromagnets with electronic structures resembling those of d-wave superconductors, exhibit intriguing properties that have gained significant attention in recent research. In this article, we propose…

Materials Science · Physics 2024-12-04 Ali Asgharpour , Bert Koopmans , Rembert A. Duine

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

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

Altermagnetic materials combine compensated magnetic order with momentum-dependent spin splitting, offering a fundamentally new route for spintronic functionality beyond conventional ferromagnets and antiferromagnets. While most studies…

Materials Science · Physics 2026-01-13 J. W. González , T. Brumme , E. Suárez Morell , A. M. León

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…

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

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…

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