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When a coplanar antiferromagnet (AFM) with $xy$-plane magnetic moments exhibits a spin-split band structure and unidirectional spin polarization along $z$, the spin polarization is forced to be an odd function of momentum by the fundamental…

Materials Science · Physics 2026-01-08 Di Zhu , Dongling Liu , Zheng-Yang Zhuang , Zhigang Wu , Zhongbo Yan

Altermagnets (AMs), recently discovered unconventional magnets distinct from both ferro- and antiferromagnets, have rapidly emerged as a prominent research topic in condensed matter physics. AMs are characterized by alternating collinear…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Tongshuai Zhu , Di Zhou , Huaiqiang Wang , Su-Huai Wei , Jiawei Ruan

Altermagnetism is characterized by even-parity spin-momentum locking in spin-split bands despite zero net magnetization and negligible spin-orbit coupling. Here, we formulate a microscopic framework that links altermagnetic splitting in…

Materials Science · Physics 2026-05-26 Yixuan Che , Peibo Xu , Haifeng Lv , Xiaojun Wu , Jinlong Yang

The coupling between ferroelectrics and magnetism presents a promising avenue for low-dissipation spintronic devices. However, such couplings remain rare, and the direct realization of magnetic order driven by ferroelectric switching in…

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

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

Odd-parity altermagnetism(ALM) extends compensated collinear magnetism beyond the even-parity spin splitting of conventional altermagnets, but its role in correlated topological phases remains largely unexplored. Using the cluster…

Strongly Correlated Electrons · Physics 2026-05-06 Minghuan Zeng , Zheng Qin , Ling Qin , Shiping Feng , Lin Wu , Dong-Hui Xu , Rui Wang

We study the interplay between altermagnetism and unconventional superconductivity for the case of two-dimensional square- and triangular-lattice systems. Our approach is based on an effective single particle Hamiltonian which mimics the…

Superconductivity · Physics 2025-11-10 Kinga Jasiewicz , Paweł Wójcik , Michał Nowak , Michał Zegrodnik

Odd-parity magnetism has attracted significant interest for its unconventional spin splitting. However, a concrete microscopic route for its realization remains elusive. In this work, we propose van der Waals heterostructures of stripe…

Strongly Correlated Electrons · Physics 2026-02-16 Hanbyul Kim , Chan Bin Bark , Seik Pak , Gibaik Sim , Moon Jip Park

Inversion-asymmetric antiferromagnets (AFMs) with odd-parity spin-polarization pattern have been proposed as a new venue for spintronics. These AFMs require commensurate ordering to ensure an effective time-reversal symmetry, which…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Changhee Lee , Nico A. Hackner , P. M. R. Brydon

Altermagnets host spin-split electronic bands despite zero net magnetization, opening new routes for spintronics beyond conventional ferromagnets. Going beyond symmetry-based classifications, which specify allowed terms but not their…

Materials Science · Physics 2026-05-21 Luigi Camerano , Federico Bisti , Gianni Profeta

We show that odd-parity superconductivity occurs in multilayer Rashba systems without requiring spin-triplet Cooper pairs. A pairing interaction in the spin-singlet channel stabilizes the odd-parity pair-density-wave (PDW) state in the…

Superconductivity · Physics 2015-10-29 Tatsuya Watanabe , Tomohiro Yoshida , Youichi Yanase

In the non-relativistic limit, helimagnetic order is always associated with odd-parity magnetism. That is, for single-particle states the expectation value of the electronic spin is odd in crystal momentum, which implies direct control of…

Materials Science · Physics 2026-04-10 Mikkel Christian Larsen , Thomas Olsen

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

Odd-parity-wave magnets are noncollinear compensated magnets with spin-split band structure in the absence of spin-orbit coupling and dipolar interactions. In contrast to altermagnets, their spin-polarized band structure breaks inversion…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Robin R. Neumann , Rodrigo Jaeschke-Ubiergo , Ricardo Zarzuela , Libor Šmejkal , Jairo Sinova , Alexander Mook

Altermagnetism is a subclass of antiferromagnetism that features spin-polarized electron bands of a non-relativistic origin despite the absence of a net magnetiation in the material. We here theoretically study spin pumping from an…

Mesoscale and Nanoscale Physics · Physics 2024-06-13 Erik Wegner Hodt , Jacob Linder

The Pauli exclusion principle combined with interactions between fermions is a basic mechanism across condensed-matter systems giving rise to a spontaneous breaking of the spin-space rotation symmetry of spin-ordered phases. Ferromagnetism…

Materials Science · Physics 2025-03-13 T. Jungwirth , R. M. Fernandes , E. Fradkin , A. H. MacDonald , J. Sinova , L. Smejkal

Realization of unconventional odd-parity magnets usually requires noncollinear spin textures of the underlying lattice. We propose a different concept of $p$-wave magnetism that originates from an orbital texture induced by loop currents.…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Yantao Li , Pavlo Sukhachov

Altermagnets are a novel class of fully spin-compensated magnetic materials that nevertheless have spin-split electronic bands, offering novel perspectives for spintronics applications. Based on a rigorous analysis of altermagnetic…

We show that mixed-parity superconductors may exhibit equal-spin pair correlations that are odd-in-time and can be tuned by means of an applied field. The direction and the amplitude of the pair correlator in the spin space turn out to be…

Superconductivity · Physics 2011-09-23 Paola Gentile , Canio Noce , Alfonso Romano , Gaetano Annunziata , Jacob Linder , Mario Cuoco