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Magnetic toroidal order features a loop-like arrangement of magnetic dipole moments, thus breaking both spatial inversion (P) and time-reversal (T) symmetries while preserving their combined PT sym-metry. This PT symmetry enables a linear…

Materials Science · Physics 2025-09-18 Chuangtang Wang , Xiaoyu Guo , Zixin Zhai , Meixin Cheng , Sang-Wook Cheong , Adam W. Tsen , Bing Lv , Liuyan Zhao

The unique functionalities of antiferromagnets offer promising routes to advance information technology. Their compensated magnetic order leads to spin resonances in the THz-regime, which suggest the possibility to coherently control…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 Christian Tzschaschel , Takuya Satoh , Manfred Fiebig

Motivated by exploring doped multi-orbital antiferromagnets (AFMs) and altermagnets (ALMs) we explore minimal $t$-$J$ models on the square-octagon lattice which favor such collinear magnetic orders in the regime where spin exchange…

Strongly Correlated Electrons · Physics 2025-02-20 Anjishnu Bose , Samuel Vadnais , Arun Paramekanti

Altermagnetic (AM) states have compensated collinear magnetic configurations that are invariant under a combination of real-space rotation and time reversal. While these symmetries forbid a direct bilinear coupling of the AM order parameter…

Strongly Correlated Electrons · Physics 2025-07-18 Anzumaan R. Chakraborty , Jörg Schmalian , Rafael M. Fernandes

Basic principles of ferroelectric activity induced by the noncollinear spins are reviewed. There is a fundamental reason why the inversion symmetry can be broken by magnetic order. Such situation occurs when the magnetic order…

Materials Science · Physics 2025-04-16 I. V. Solovyev

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 have recently emerged as a new class of magnetic materials sharing properties of both antiferromagnets and ferromagnets. Despite very small net magnetization, they show phenomena usually associated with ferromagnetism, such as…

Materials Science · Physics 2025-06-03 Maxim Mostovoy

Altermagnets are a class of materials with compensated magnetic moments, in which spin sublattices are related by specific symmetries other than inversion or translation. This allows time-reversal symmetry to be broken without a net…

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

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

We report the study of spontaneous magnetization (i.e., spin-polarization) for time-reversal symmetry (TRS)-breaking superconductors with unitary pairing potentials, in the absence of external magnetic fields or Zeeman fields. Spin-singlet…

Superconductivity · Physics 2021-09-01 Lun-Hui Hu , Xuepeng Wang , T. Shang

Altermagnets are a recently discovered class of magnetic material with great potential for applications in the field of spintronics, owing to their non-relativistic spin-splitting and simultaneous antiferromagnetic order. One of the most…

Altermagnets exhibit nonrelativistic spin splitting due to the breaking of time-reversal symmetry and have been garnering significant attention as promising materials for spintronic applications. In contrast, conventional antiferromagnets…

Materials Science · Physics 2026-02-03 Jin Matsuda , Hikaru Watanabe , Ryotaro Arita

The quantum nonrelativistic spin-1/2 planar systems in the presence of a perpendicular magnetic field are known to possess the N=2 supersymmetry. We consider such a system in the field of a magnetic vortex, and find that there are just two…

High Energy Physics - Theory · Physics 2014-11-20 Francisco Correa , Horacio Falomir , Vit Jakubsky , Mikhail S. Plyushchay

The spin filtering effect, distinct decaying lengths experienced by oppositely spin-polarized electrons in a magnetic barrier, generally occurs in ferromagnetic (FM) insulators or semiconductors. With the rise of altermagnetic (ALM)…

Materials Science · Physics 2025-01-08 Boyuan Chi , Leina Jiang , Yu Zhu , Guoqiang Yu , Caihua Wan , Xiufeng Han

Nanopatterned magnetic thin films offer a platform for exploration of tailored magnetic properties such as emergent long-range order. A prominent example is artificial spin ice (ASI), where an arrangement of nanoscale magnetic elements,…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Anders Strømberg , Einar Digernes , Rajesh Vilas Chopdekar , Jostein Grepstad , Erik Folven

The properties of antiferromagnetic materials with violated space-time parity are considered. Particular attention is given to the bismuth ferrite BiFeO3 ferroelectric magnet. This material is distinguished from other antiferromagnets in…

Materials Science · Physics 2009-11-10 A. M. Kadomtseva , A. K. Zvezdin , Yu. F. Popov , A. P. Pyatakov , G. P. Vorob'ev

Magnons, the spin-wave quanta, are disturbances that embody a wave propagating through a background medium formed by ordered magnetic moments. In an isotropic Heisenberg system, these disturbances vary in a continuous manner around an…

Strongly Correlated Electrons · Physics 2017-08-02 G. Gitgeatpong , Y. Zhao , P. Piyawongwatthana , Y. Qiu , L. W. Hariger , N. P. Butch , T. J. Sato , K. Matan

In altermagnets, time-reversal symmetry breaking spin-polarizes electronic states, while total magnetization remains zero. In addition, at altermagnetic surfaces Rashba-spin orbit coupling is activated due to broken inversion symmetry,…

This article is dedicated to the 60-th anniversary of the Landau Institute for Theoretical Physics and presents a review of normal and superconducting properties of toroidal, altermagnetic, and noncentrosymmetric metals. Metals with…

Strongly Correlated Electrons · Physics 2026-02-05 V. P. Mineev
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