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We show that time-reversal symmetry broken, centrosymmetric antiferromagnets with nonrelativistic spin-splitting are conveniently described in terms of the ferroic ordering of magnetic octupoles. The magnetic octupoles are the lowest-order…

Strongly Correlated Electrons · Physics 2025-06-10 Sayantika Bhowal , Nicola A. Spaldin

There are several interacting spin systems which have a gap in their spin excitation spectrum. The gap does not occur due to anisotropies present in the system but is quantum mechanical in origin. We give a brief overview on the different…

Materials Science · Physics 2007-05-23 Indrani Bose

Many studies of non-relativistic spin-splitting (NRSS), or altermagnetism, have focused on idealized, perfectly ordered crystals, relying on symmetry-based approaches to identify candidate materials. Here, we theoretically investigate how…

Materials Science · Physics 2025-12-16 Siddhartha S. Nathan , Danilo Puggioni , Linding Yuan , James M. Rondinelli

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

Altermagnets exhibit spontaneously spin-split electronic bands in the zero spin-orbit coupling (SOC) limit arising from the presence of collinear compensated magnetic order. The distinctive magneto-crystalline symmetries of altermagnets…

Strongly Correlated Electrons · Physics 2025-10-03 Hana Schiff , Paul McClarty , Jeffrey G. Rau , Judit Romhanyi

From general considerations of spin-symmetry breaking associated with (anti-)ferromagnetism in metallic systems with Coulomb repulsion, we obtain interesting and simple all-order rules involving the ratios of the densities of states. These…

Superconductivity · Physics 2011-12-30 Kosuke Odagiri

The electric resistance of ferromagnet/normal-metal/ferromagnet perpendicular spin valves depends on the relative angle between the magnetization directions. In contrast to common wisdom, this angular magnetoresistance is found to be not…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jan Manschot , Arne Brataas , Gerrit E. W. Bauer

We formulate a Landau theory for altermagnets, a class of colinear compensated magnets with spin-split bands. Starting from the non-relativistic limit, this Landau theory goes beyond a conventional analysis by including spin-space…

Materials Science · Physics 2024-04-29 Paul A. McClarty , Jeffrey G. Rau

Altermagnetism is introduced as a category of magnetic states with vanishing net magnetic moment, and consists of collinear alternating (i.e., antiferromagnetic-like) spins and alternating variations of local structures around spins in such…

Strongly Correlated Electrons · Physics 2024-01-26 Sang-Wook Cheong , Fei-Ting Huang

Spin field-effect transistors (SFETs) are promising candidates for low-power spin-based electronics, yet existing realizations that rely on spin-orbit coupling are constrained by limited material choices and short spin-coherence lengths.…

Materials Science · Physics 2025-12-03 Ziye Zhu , Xianzhang Chen , Xunkai Duan , Zhou Cui , Jiayong Zhang , Igor Zutic , Tong Zhou

The origin of the $A$-type antiferromagnetic ordering, characterized by ferromagnetic layers coupling antiferromagnetically, in the prototype semiconductor altermagnet $\alpha$-MnTe has been a topic of ongoing debate. Experimentally,…

Spin-splitting antiferromagnets with spin-polarized band structures in momentum space have garnered intensive research attention due to their zero net magnetic moments, ultras fast spin dynamics as conventional antiferromagnets, and…

Materials Science · Physics 2025-01-07 Jianting Dong , Kun Wu , Meng Zhu , Fanxing Zheng , Xinlu Li , Jia Zhang

Spin-polarized antiferromagnets (AFMs), including altermagnets, noncollinear AFMs, and two-dimensional layer-polarized AFMs, have emerged as transformative materials for next-generation spintronic and optoelectronic technologies. These…

Materials Science · Physics 2025-06-23 Zhenzhou Guo , Xiaotian Wang , Wenhong Wang , Gang Zhang , Xiaodong Zhou , Zhenxiang Cheng

Spin splitting in electronic band structures via antiferromagnetic orders is a new route to control spin-polarized carriers that is available for spintronics applications. Here, we investigated the spin degree of freedom in the electronic…

The theory behind the electrical switching of antiferromagnets is premised on the existence of a well defined broken symmetry state that can be rotated to encode information. A spin glass is in many ways the antithesis of this state,…

Antiferromagnetic materials could represent the future of spintronic applications thanks to the numerous interesting features they combine: they are robust against perturbation due to magnetic fields, produce no stray fields, display…

Materials Science · Physics 2018-02-20 V. Baltz , A. Manchon , M. Tsoi , T. Moriyama , T. Ono , Y. Tserkovnyak

Ferrimagnets are antiparallel-ordered magnetic states in a bipartite lattice with two alternating unequal spins, which exhibit both ferromagnetic and antiferromagnetic properties. Several theoretical studies have explored the magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 Jongmin Y. Lee , Se Kwon Kim

Layered topologically non-trivial and trivial semimetals with AFM-type ordering of magnetic sublattice are known to exhibit a negative magnetoresistance that is well correlated with AFM magnetization changes in a magnetic field. This effect…

Mesoscale and Nanoscale Physics · Physics 2024-05-29 P. D. Grigoriev , N. S. Pavlov , I. A. Nekrasov , I. R. Shein , A. V. Sadakov , O. A. Sobolevskiy , E. Maltsev , N. Perez , L. Veyrat , V. M. Pudalov

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

Altermagnets exhibit momentum-dependent spin splitting without net magnetization, combining characteristics of both ferromagnets and antiferromagnets, making them highly interesting for spintronics applications. CrSb is a prime candidate…

Strongly Correlated Electrons · Physics 2025-10-02 Brahim Marfoua , Mohammad Amirabbasi , Marcus Ekholm