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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 (AM) has brought renewed attention to the Lieb lattice. Here, we broaden the scope of altermagnetic models on the Lieb lattice by using a general scheme based on spin clusters. We design various altermagnetic models with d-…

Strongly Correlated Electrons · Physics 2026-01-22 Xingmin Huo , Xingchuan Zhu , Chang-An Li , Shiping Feng , Song-Bo Zhang , Shengyuan A. Yang , Huaiming Guo

Altermagnets present a class of fully compensated collinear magnetic order, where the two sublattices are not related merely by time-reversal combined with lattice translation or inversion, but require an additional lattice rotation. This…

Strongly Correlated Electrons · Physics 2025-12-12 Subhankar Khatua , Volodymyr P. Kravchuk , Kostiantyn V. Yershov , Jeroen van den Brink

Altermagnets provide a natural platform for studying and exploiting piezomagnetism. In this paper, we introduce a class of insulating altermagnets in two dimensions (2D) referred to as Dirac quadrupole altermagnets, and show based on…

Strongly Correlated Electrons · Physics 2026-04-22 H. Radhakrishnan , B. Bell , C. Ortix , J. W. F. Venderbos

A pair of Dirac points (analogous to a vortex-antivortex pair) associated with opposite topological numbers (with $\pm\pi$ Berry phases) can be merged together through parameter tuning and annihilated to gap the Dirac spectrum, offering a…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Yang Xu , Guodong Jiang , Ireneusz Miotkowski , Rudro R. Biswas , Yong P. Chen

Altermagnetism, a recently discovered class of magnetic order characterized by vanishing net magnetization and spin-splitting band structures, has garnered significant research attention. In this work, we introduce a novel two-dimensional…

Strongly Correlated Electrons · Physics 2024-12-24 Shuyi Li , Yu Zhang , Adrian Bahri , Xiaoliang Zhang , Chunjing Jia

Altermagnets have emerged as a fertile ground for quantum phenomena, but topological phases unifying different quasiparticles remain largely unexplored. Here, we demonstrate that monolayer AgF$_2$ hosts a dual topological state, driven by a…

Mesoscale and Nanoscale Physics · Physics 2025-08-25 J. W. González , R. A. Gallardo , N. Vidal-Silva , A. M. León

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, 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

Altermagnetism, a recently identified magnetic phase that combines vanishing net magnetization with momentum-dependent spin splitting, challenges the conventional dichotomy between ferromagnets and antiferromagnets. While several candidate…

Altermagnets, combining zero net magnetization with intrinsic spin splitting, demonstrate unique quantum phenomena crucial for spintronic applications. KV$_2$Se$_2$O is proven to be a d-wave altermagnet with phase transition from a…

Materials Science · Physics 2026-02-04 Xu Yan , Ziyin Song , Juntao Song , Zhong Fang , Hongming Weng , Quansheng Wu

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…

Recently, a new magnetic phase, termed altermagnetism, has caught the attention of the magnetism and spintronics community. This newly discovered magnetic phenomenon differs from traditional ferromagnetism and antiferromagnetic. It…

Strongly Correlated Electrons · Physics 2024-12-10 R. Tamang , Shivraj Gurung , D. P. Rai , Samy Brahimi , Samir Lounis

Altermagnetism, a kind of collinear magnetism that is characterized by a momentum-dependent band and spin splitting without net magnetization, has recently attracted considerable interest. Finding altermagnetic materials with large…

When a two-dimensional $d$-wave altermagnet is grown on a substrate, the interplay of momentum-dependent spin splittings arising from altermagnetism and Rashba spin-orbit coupling gives rise to a nodal band structure with band degeneracies…

Materials Science · Physics 2025-09-08 Di Zhu , Dongling Liu , Zheng-Yang Zhuang , Zhigang Wu , Zhongbo Yan

We investigate some possible symmetries of the superconducting state that emerges in three-dimensional altermagnets in the presence of spin-orbit coupling. We demonstrate within a weak-coupling approach that these altermagnets, which…

Superconductivity · Physics 2024-12-24 Vanuildo S. de Carvalho , Hermann Freire

Advanced vector imaging techniques provide us with 3D maps of magnetization fields in which topological concepts can be directly applied to describe real-space experimental textures in non-ideal geometries. Here, the 3D magnetization of a…

The subject of the present paper is a detailed theoretical investigation of the energy spectrum and bandgaps, as well as topological and collective properties and linear response, in $d$-wave altermagnets in the presence of an off-resonance…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Andrii Iurov , Liubov Zhemchuzhna , Tiyhearah Danner-Jackson

This article explores the deep interconnections among three seemingly unrelated concepts in condensed matter physics: electronic liquid crystal phases, multipole expansions, and altermagnetism. At the heart of these phenomena lies a shared…

Superconductivity · Physics 2025-10-13 Zhao Liu , Hui Hu , Xia-Ji Liu

Transport due to spin-helical massless Dirac fermion surface state is of paramount importance to realize various new physical phenomena in topological insulators, ranging from quantum anomalous Hall effect to Majorana fermions. However, one…

Mesoscale and Nanoscale Physics · Physics 2014-02-13 Luis A. Jauregui , Michael T. Pettes , Leonid P. Rokhinson , Li Shi , Yong P. Chen