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We describe an ab initio theory of finite temperature magnetism in strongly-correlated electron systems. The formalism is based on spin density functional theory, with a self-interaction corrected local spin density approximation…

Strongly Correlated Electrons · Physics 2009-11-13 I. D. Hughes , M. Daene , A. Ernst , W. Hergert , M. Lueders , J. B. Staunton , Z. Szotek , W. M. Temmerman

Altermagnets are a novel class of materials that combine antiferromagnetic spin ordering with non-relativistic spin splitting (NRSS) in their band structure, making them promising candidates for spintronics applications without requiring…

Strongly Correlated Electrons · Physics 2025-08-12 Niklas Sicheler , Roberto Raimondi , Giorgio Sangiovanni , Lorenzo Del Re

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

We study theoretically how superlattices based on adatoms on surfaces of unconventional superconductors can be used to engineer novel pairing states that break time-reversal symmetry and exhibit non-trivial magnetic point symmetries. We…

Superconductivity · Physics 2025-04-15 Lucas V. Pupim , Mathias S. Scheurer

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

Recent developments have introduced a groundbreaking form of collinear magnetism known as "altermagnetism". This emerging magnetic phase is characterized by robust time-reversal symmetry breaking, antiparallel magnetic order, and…

Materials Science · Physics 2024-09-18 Ling Bai , Wanxiang Feng , Siyuan Liu , Libor Šmejkal , Yuriy Mokrousov , Yugui Yao

Altermagnets are an emerging class of collinear antiferromagnets that exhibit unconventional spin-polarised electronic bands, potentially unlocking new functionalities that do not rely on spin-orbit coupling (SOC). Experimental signatures…

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

Van der Waals materials provide a versatile toolbox for the emergence of new quantum phenomena and the fabrication of functional heterostructures. Among them, the trihalide VI3 stands out for its unique magnetic and structural landscape.…

Materials Science · Physics 2024-02-07 A. De Vita , R. Sant , V. Polewczyk , G. van der Laan , N. B. Brookes , T. Kong , R. J. Cava , G. Rossi , G. Vinai , G. Panaccione

MnTe has recently attracted attention as an altermagnetic candidate. Experimentally it has an altermagnetic order of ferromagnetic $ab$ planes, stacked antiferromagnetically along $c$. We show that this magnetic order (by itself…

Materials Science · Physics 2025-07-08 I. I. Mazin

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

I present a tensorial approach to the description of $\vec{k}/-\vec{k}$-symmetric, time-reversal-odd splitting of electronic bands in magnetic materials, which can be of non-relativistic origin and was recently given the name of…

Strongly Correlated Electrons · Physics 2024-08-22 Paolo G. Radaelli

Recent theoretical work highlighted unique properties of superconducting altermagnets, including the wealth of topologically non-trivial phases as well as their potential uses in spintronic applications. Given that no intrinsically…

Superconductivity · Physics 2025-09-05 Niclas Heinsdorf , Marcel Franz

We present a phenomenological theory of altermagnets, that captures their unique magnetization dynamics and allows modelling magnetic textures in this new magnetic phase. Focusing on the prototypical d-wave altermagnets, e.g. RuO$_2$, we…

Mesoscale and Nanoscale Physics · Physics 2024-07-30 O. Gomonay , V. P. Kravchuk , R. Jaeschke-Ubiergo , K. V. Yershov , T. Jungwirth , L. Šmejkal , J. van den Brink , J. Sinova

Altermagnets constitute a class of collinear magnets with momentum-dependent spin splitting and vanishing net magnetization. Direct observation of the characteristic altermagnetic spin splitting, however, remains challenging. Indirect…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Arsen Herasymchuk , Karl Bergson Hallberg , Erik Wegner Hodt , Jacob Linder , E. V. Gorbar , Pavlo Sukhachov

The recently discovered altermagnets (AMs), hosting momentum-dependent spin splitting and vanishing net magnetization, have attracted intensive attention for their promising application in novel spintronics. However, limited by facility and…

Materials Science · Physics 2025-06-02 Jiuyu Sun , Yongping Du , Erjun Kan

Altermagnets are an emerging class of collinear magnets with momentum-dependent spin splitting and zero net magnetization. These materials can be broadly classified into two categories based on the behavior of spin splitting at…

Materials Science · Physics 2026-02-27 Dongling Liu , Zheng-Yang Zhuang , Di Zhu , Zhigang Wu , Zhongbo Yan

Since the discovery of cuprate high-Tc superconductivity, numerous theoretical frameworks have been proposed to explain its mechanism; Anderson's RVB picture [Science 235, 1196-1198, 1987] and U(1) gauge theory [Phys. Rev. Lett. 76,…

Superconductivity · Physics 2025-09-19 Tom G. Saunderson , James F. Annett , Samir Lounis

A prominent feature of $d$-wave altermagnets is the pure spin current generated in the absence of spin-orbit interactions. In the context of symmetry, there are the $s$-wave, the $p$-wave, the $d$-wave, the $f$-wave, the $g$-wave and the…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Motohiko Ezawa

Altermagnets are a novel class of magnets that exhibit a large spin splitting but the total magnetic moment is vanishing. This unconventional spin splitting gives rise to various characteristic phenomena, such as spin current generation. In…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Tomonari Mizoguchi , Soshun Ozaki