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Odd-parity spin-splitting plays a central role in spintronics and unconventional superconductivity, yet its microscopic realization in collinear magnetic systems remains elusive. We propose a general symmetry-based strategy for realizing…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Zheng-Yang Zhuang , Di Zhu , Dongling Liu , Zhigang Wu , Zhongbo Yan

The terminology "altermagnetism" has recently been adopted to describe collinear magnetic order with no net magnetization and non-relativisitic, momentum-dependent spin-splitting. The archetypal material used to theoretically explore…

$P$-, $f$-, or $h$-wave antialtermagnets yield large non-relativistic spin splitting with out-of-plane spin polarization in momentum space perpendicular to the coplanar non-collinear local magnetic moments. We provide a microscopic…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Johannes Mitscherling , Jan Priessnitz , Clara K. Geschner , Libor Šmejkal

Beyond conventional ferromagnetism and antiferromagnetism, altermagnetism is a recently discovered unconventional magnetic phase characterized by time-reversal symmetry breaking and spin-split band structures in materials with zero net…

The multislice method, which simulates the propagation of the incident electron wavefunction through a crystal, is a well-established method for analyzing the multiple scattering effects that an electron beam may undergo. The inclusion of…

Materials Science · Physics 2021-05-11 Keenan Lyon , Jan Rusz

Altermagnets are defined as magnetic states with fully compensated spin angular momenta (spins) and broken PT (P: parity, T: time reversal, PT: parity times time reversal) symmetry. We classify three kinds of altermagnets: M-type: broken T…

Materials Science · Physics 2025-03-19 Sang-Wook Cheong , Fei-Ting Huang

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

The discovery of altermagnetism offers new opportunities for exploring novel quantum states and developing spintronic devices for enabling momentum dependent spin splitting in compensated systems, while zero net magnetization limit its…

Materials Science · Physics 2026-05-22 W. Z. Zhuo , Z. H. Guan , Z. L. Peng , Y. N. Pan , J. Chen , Y. Yang , M. H. Qin

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…

Possibility of a novel pseudo-scalar (octupole) order is studied theoretically for orbitally degenerate systems with strong spin-orbit coupling such as Ce$_x$La$_{1-x}$B$_6$. It is discussed that coexistence of an octupole order parameter…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshio Kuramoto , Hiroaki Kusunose

The interplay of strong electronic correlations, sizable octahedral distortions, and pronounced spin-orbit coupling (SOC) makes perovskite oxides promising candidates for realizing altermagnetic phases. We study altermagnetic phases in…

Materials Science · Physics 2025-12-16 Andrea León , Carmine Autieri , Thomas Brumme , Jhon W. González

Altermagnets - collinear, zero-net-moment magnets with momentum-odd spin splitting protected by crystalline symmetries - offer a tunable route to suppress long-range antiferromagnetism while preserving strong short-range spin fluctuations.…

Superconductivity · Physics 2026-04-01 Ji Liu , Jianyu Li , Peng Zhang , Xiaosen Yang , Ho-Kin Tang

Spin-driven multiferroics exhibit strong magnetoelectric coupling, with notable polarization changes under a magnetic field, but these effects are usually limited to high-Z magnetic insulators with low electronic polarization. In this work,…

Materials Science · Physics 2024-12-31 Ranquan Cao , Ruizhi Dong , Ruixiang Fei , Yugui Yao

The recently discovered altermagnets exhibit collinear magnetic order with zero net magnetization but with unconventional spin-polarized d/g/i-wave band structures, expanding the known paradigms of ferromagnets and antiferromagnets. In…

A well-known connection between the magnetic susceptibility and the effective exchange parameter is analyzed. It is shown that all current computational schemes use a long-wave approximation which is suitable only for localized moments…

Strongly Correlated Electrons · Physics 2009-11-07 V. P. Antropov

We theoretically investigate the interplay between charge ordering and magnetic states in quasi-one-dimensional molecular conductors TMTTF$_2X$, motivated by the observation of a complex variation of competing and/or coexisting phases. We…

Strongly Correlated Electrons · Physics 2012-03-26 Kazuyoshi Yoshimi , Hitoshi Seo , Shoji Ishibashi , Stuart E. Brown

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 constitute a novel, third fundamental class of collinear magnetic ordered materials, alongside with ferro- and antiferromagnets. They share with conventional antiferromagnets the feature of a vanishing net magnetization. At the…

Recently, there has been a growing interest in altermagnetism, a novel form of magnetism, characterized by unique spin-splitting even in the absence of both net magnetic moments and spin-orbit coupling. Despite numerous theoretical…

Newly discovered altermagnets are magnetic materials exhibiting both compensated magnetic order, similar to antiferromagnets, and simultaneous non-relativistic spin-splitting of the bands, akin to ferromagnets. This characteristic arises…