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Superconductivity and magnetism are antagonistic states of matter. The presence of spontaneous magnetic fields inside the superconducting state is, therefore, an intriguing phenomenon prompting extensive experimental and theoretical…

We explore the possibilities for spin-singlet superconductivity in newly discovered altermagnets. Investigating $d$-wave altermagnets, we show that finite-momentum superconductivity can easily emerge in altermagnets even though they have no…

Superconductivity · Physics 2024-03-29 Debmalya Chakraborty , Annica M. Black-Schaffer

We present a systematic investigation of muon-stopping states in superconductors that reportedly exhibit spontaneous magnetic fields below their transition temperatures due to time-reversal symmetry breaking. These materials include…

Superconductivity · Physics 2022-01-11 B. M. Huddart , I. J. Onuorah , M. M. Isah , P. Bonfà , S. J. Blundell , S. J. Clark , R. De Renzi , T. Lancaster

Conventional superconductors are strong diamagnets that through the Meissner effect expel magnetic fields. It would therefore be surprising if a superconducting ground state would support spontaneous magnetics fields. Such time-reversal…

Superconductivity · Physics 2015-09-02 Mikael Håkansson , Tomas Löfwander , Mikael Fogelström

We show that superconductors with broken time-reversal symmetry have very specific magnetic and electric responses to inhomogeneous heating. A local heating of such superconductors induces a magnetic field with a profile that is sensitive…

Superconductivity · Physics 2016-03-18 Julien Garaud , Mihail Silaev , Egor Babaev

We consider different effects that arise when time-reversal symmetry breaking superconductors are subjected to an external magnetic field, thus rendering the superconductor to be in the mixed state. We focus in particular on two…

Superconductivity · Physics 2009-11-13 Mihail A. Silaev , Takehito Yokoyama , Jacob Linder , Yukio Tanaka , Asle Sudbø

We study the interplay between superconductivity and altermagnetism in disordered systems using recently derived quantum kinetic transport equations. Starting from this framework, we derive the Ginzburg-Landau free energy and identify, in…

Superconductivity · Physics 2026-05-05 Rodrigo de las Heras , Tim Kokkeler , Stefan Ilić , Ilya V. Tokatly , F. Sebastian Bergeret

Altermagnets are an emerging third elementary class of magnets. Unlike ferromagnets, their distinct crystal symmetries inhibit magnetization while, unlike antiferromagnets, they promote strong spin polarization in the band structure. The…

We investigate equilibrium properties, including structure of the order parameter, superflow patterns, and thermodynamics of low-temperature surface phases of layered d_{x^2-y^2}-wave superconductors in magnetic field. At zero external…

Superconductivity · Physics 2018-06-18 P. Holmvall , A. B. Vorontsov , M. Fogelstrom , T. Lofwander

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

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

When matter undergoes a phase transition from one state to another, usually a change in symmetry is observed, as some of the symmetries exhibited are said to be spontaneously broken. The superconducting phase transition in the underdoped…

Strongly Correlated Electrons · Physics 2009-11-07 A. Kaminski , S. Rosenkranz , H. M. Fretwell , J. C. Campuzano , Z. Li , H. Raffy , W. G. Cullen , H. You , C. G. Olson , C. M. Varma , H. H"ochst

Altermagnetism has emerged as a third type of collinear magnetism. In contrast to standard ferromagnets and antiferromagnets, altermagnets exhibit extra even-parity wave spin order parameters resulting in a spin-splitting of electronic…

Strongly Correlated Electrons · Physics 2024-06-17 Valentin Leeb , Alexander Mook , Libor Šmejkal , Johannes Knolle

Altermagnetism is a newly identified magnetic phase, distinct from conventional ferromagnetism and antiferromagnetism. It exhibits no net magnetization while breaking time-reversal symmetry. Although its momentum-space signatures are…

Materials Science · Physics 2026-04-22 Daran Fu , Liu Yang , Yi Shen , Kebin Xiao , Yuyang Wang , Wei Jiang , Zhiwei Wang , Yugui Yao , Qi-Kun Xue , Wei Li

Recent experiments found superconductivity in nonmagnetic MnB$_4$ with a high critical temperature ($T_{c}$) reaching 14 K at 158 GPa. However, ab initio calculations of the electron-phonon coupling predict a $T_{c}$ below 1 K, suggesting…

Superconductivity · Physics 2026-04-24 Danylo Radevych , Mercè Roig , Daniel F. Agterberg , Igor I. Mazin

Altermagnet is a newly discovered magnetic phase, characterized by non-relativistic spin-splitting that has been experimentally observed. Here, we introduce a framework dubbed {\it spin-orbital altermagnetism} to achieve spin-orbital…

Strongly Correlated Electrons · Physics 2025-09-22 Zi-Ming Wang , Yang Zhang , Song-Bo Zhang , Jin-Hua Sun , Elbio Dagotto , Dong-Hui Xu , Lun-Hui Hu

Symmetry-breaking plays a pivotal role in unlocking intriguing properties and functionalities in material systems. For example, the breaking of spatial and temporal symmetries leads to a fascinating phenomenon of superconducting diode…

A growing number of superconducting materials display evidence for spontaneous time-reversal symmetry breaking (TRSB) below their critical transition temperatures. Precisely what this implies for the nature of the superconducting ground…

Superconductivity · Physics 2024-05-22 Brian M. Andersen , Andreas Kreisel , P. J. Hirschfeld

Switching magnetism using only electricity is of great significance for industrial applications but remains challenging. We find that, altermagnetism, as a newly discovered unconventional magnetism, may open an avenue along this effort.…

Mesoscale and Nanoscale Physics · Physics 2025-08-11 Yiyuan Chen , Xiaoxiong Liu , Hai-Zhou Lu , X. C. Xie

Materials which show a strong time-reversal symmetry-breaking response leading to spin-polarization phenomena, in conjunction with antiparallel magnetic alignments producing zero net magnetization, have recently been identified, classified,…

Materials Science · Physics 2025-11-04 Wenhan Chen , Alyn D. N. James , Stephen B. Dugdale
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