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The Lieb lattice, originally proposed for cuprate superconductors, has gained new attention in the emerging field of altermagnetism as a minimal analytical model for the latter. While initially the so-called inverse Lieb lattice (ILL) was…

Materials Science · Physics 2025-08-12 Po-Hao Chang , Igor I. Mazin , Kirill D. Belashchenko

Altermagnets (AMs) are a recently identified class of unconventional collinear compensated antiferromagnets that exhibit momentum-dependent spin splitting despite having zero net magnetization. This unconventional magnetic order gives rise…

Materials Science · Physics 2025-11-24 Bo Zhao , Fu Li , Wei Ren , Hao Wang , Hongbin Zhang

Altermagnets combine vanishing net magnetization with nonrelativistic, momentum-dependent spin splitting, offering a new paradigm for spintronics. Spin-crystal symmetry coupling, namely spin-lattice locking, is the defining mechanism of…

Altermagnetism -a magnetic state characterized by spin-polarized electronic bands at zero net magnetization- offers a promising route for next-generation spintronic devices. In two-dimensional (2D) magnets, twist engineering enables its…

Materials Science · Physics 2026-02-24 Alberto M. Ruiz , Andrei Shumilin , Rafael González-Hernández , José J. Baldoví

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

Altermagnetism is a new magnetic phase with k-dependent spin polarization and may exist in an insulating state with a high N\'eel temperature. This provides a new opportunity to obtain both spin and electric polarization in one material.…

Materials Science · Physics 2023-12-22 Peng-Jie Guo , Yuhao Gu , Ze-Feng Gao , Zhong-Yi Lu

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

We study the emergence of altermagnetism from repulsive interactions for electrons on the Lieb lattice as a model of quasi-2D oxychalcogenides with the so-called "anti-CuO$_{2}$" lattice structure. A comprehensive study of the Lieb lattice…

Strongly Correlated Electrons · Physics 2024-12-25 Nitin Kaushal , Marcel Franz

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

Magnetoelectric coupling is vital for exploring fundamental science and driving the development of high-density memory and energy-efficient spintronic devices. Altermagnets, which merge the benefits of ferromagnets and antiferromagnets,…

Materials Science · Physics 2026-03-03 Pengqiang Dong , Hanbo Sun , Chao Wu , Ping Li

Altermagnet is a class of antiferromagnets, which shows a staggered spin ordering with wave vector ${\bm q}=0$, while its net magnetization is canceled out in the limit of zero relativistic spin-orbit coupling. The simplest case is when the…

Strongly Correlated Electrons · Physics 2024-11-19 Makoto Naka , Yukitoshi Motome , Hitoshi Seo

Altermagnets are an emergent class of materials combining features of ferro- and antiferro-magnetic materials. They have spin-separated bands normally associated with ferromagnets, but a vanishing net magnetization. Moreover the symmetries…

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 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 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

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 (AMs) are an emergent class of magnetic materials that combine properties of ferromagnets and antiferromagnets, exhibiting spin-polarized Fermi surfaces and zero net magnetic moment due to combined time-reversal and crystal…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Zesen Fu , Mengli Hu , Aolin Li , Haiming Duan , Junwei Liu , Fangping Ouyang

Altermagnets are a novel class of magnetic systems characterized by their momentum-dependent spin splitting without net magnetization. In this work, we extend established Euclidean tight-binding models of altermagnets to regular hyperbolic…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Eric Petermann , Kristian Mæland , Haye Hinrichsen , Björn Trauzettel

We propose alterelectricity, an electrical analogue of altermagnetism, in which two switchable states possess alternating band structures. Such alterelectric states arise when a switchable sublattice-selective structural change connects two…

We predict a so-called axial Hall effect, a Berry-curvature-driven anomalous Hall response, in Lieb-lattice altermagnets. By constructing a tight-binding model, we identify the axial direction as a hidden topological degree of freedom.…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Xilong Xu , Haonan Wang , Li Yang
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