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Altermagnets, a novel class of collinear magnetic materials, exhibit unique spin-split band structures, yet topological insulating states in intrinsic altermagnetic systems are rare. Here, we identify monolayer Fe$_2X_2$O ($X$ = Cl, Br, I)…

Materials Science · Physics 2026-01-22 Yong-Kun Wang , Si Li , Shengyuan A. Yang

Altermagnetism is characterized by non-relativistic spin splitting and zero total magnetic moments. In this work, intrinsic antiferromagnetic half-metallic and topological phases were discovered within the ferrovalley states of sliding…

Materials Science · Physics 2026-05-08 Shihao Zhang

We solve the two-electron problem on a square lattice with $d$-wave altermagnetism, considering both on-site and nearest-neighbor attractive interactions. The altermagnetic spin-splitting in the single-particle dispersion naturally gives…

Superconductivity · Physics 2026-01-21 Hui Hu , Zhao Liu , Jia Wang , Xia-Ji Liu

Hyperbolic lattices are a new form of synthetic quantum matter in which particles effectively hop on a discrete tessellation of 2D hyperbolic space, a non-Euclidean space of uniform negative curvature. To describe the single-particle…

Mesoscale and Nanoscale Physics · Physics 2022-03-01 Joseph Maciejko , Steven Rayan

Recent works have predicted materials featuring bands with a large spin-splitting distinct from ferromagnetic and relativistically spin-orbit coupled systems. Materials displaying this property are known as altermagnets and feature a…

Superconductivity · Physics 2023-08-15 Chi Sun , Arne Brataas , Jacob Linder

Conducting altermagnets have recently emerged as intriguing materials supporting strongly spin-polarized currents without magnetic stray fields. We demonstrate that altermagnets enable three key functionalities, merging superconductivity…

Superconductivity · Physics 2024-10-23 Hans Gløckner Giil , Bjørnulf Brekke , Jacob Linder , Arne Brataas

We investigate the emergence of quantum anomalous Hall conductivity in a two-dimensional $d$-wave altermagnet on a Lieb lattice under an external magnetic field. Altermagnetic order induces momentum-dependent spin splitting without net…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Meysam Bagheri Tagani , Amar Fakhredine , Carmine Autieri

Altermagnets, with spin splitting and vanishing magnetization, have been attributed to many fascinating phenomena and potential applications. In particular, integrating ferroelectricity with altermagnetism to enable magnetoelectric coupling…

Materials Science · Physics 2025-09-09 Ziye Zhu , Yuntian Liu , Xunkai Duan , Jiayong Zhang , Bowen Hao , Su-Huai Wei , Igor Zutic , Tong Zhou

Altermagnetism has been recently experimentally verified by photoemission mapping of the spin order in momentum space in MnTe and CrSb, which feature two anisotropic sublattices with antiparallel magnetic dipole moments. In this work, we…

Altermagnets are colinear compensated magnets whose magnetic symmetries at zero spin-orbit coupling break spin degeneracy leading to spin-split electronic and magnonic bands that reflect an underlying multipolar order. When there is an…

Strongly Correlated Electrons · Physics 2024-10-15 P. A. McClarty , A. Gukasov , J. G. Rau

MnTe has recently emerged as a canonical altermagnet, a newly identified class of magnetism characterized by compensated antiferromagnetic order coexisting with spin-split electronic bands, traditionally considered exclusive to…

We study high harmonic generation in altermagnetic metals with and without spin-orbit coupling. The altermagnetism manifests itself in the magnetic field dependence of the low harmonics associated with intra-band dynamics. Spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2024-07-11 Philipp Werner , Markus Lysne , Yuta Murakami

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

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

Recently, a new class of magnetic phenomenon, called altermagnetism, was proposed where the underlying spin configuration resembles antiferromagnetic structure, but the system violates \textbf{PT} (PT: Parity times Time reversal) symmetry…

Materials Science · Physics 2024-06-25 Deepak K. Singh , Sang-Wook Cheong , Jiasen Guo

The recent research interests in the non-relativistic spin splitting of electronic band structures have led to the exploration of altermagnets and other compensated magnets. Here, we show that various types of non-relativistic spin…

Materials Science · Physics 2025-01-03 Yunsong Liu , Yanlong Liu , Xuefei Wang , Nan Xia , Guifang Xu , Yi Wang , Haifeng Wang , Weiwei Gao , Jijun Zhao

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

Altermagnetism has emerged as an unconventional form of collinear magnetism with spatial rotational symmetries, that give rise to strongly spin-split bands despite of an underlying fully-compensated antiferromagnetic order. Here, we develop…

Strongly Correlated Electrons · Physics 2026-05-12 Lorenzo Lanzini , Purnendu Das , Michael Knap

Following recent intensive studies on altermagnetism(ALM) characterized by non-relativistic even-parity spin splitting, realizing unconventional odd-parity magnetism has also attracted increasing interest. Here, using symmetry arguments…

Strongly Correlated Electrons · Physics 2026-04-02 Minghuan Zeng , Zheng Qin , Ling Qin , Shiping Feng , Lin Wu , Dong-Hui Xu , Rui Wang

Hyperbolic lattices are starting to be explored in search of novel phases of matter. At the same time, non-Hermitian physics has come to the forefront in photonic, optical, phononic, and condensed matter systems. In this work, we introduce…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 Nisarg Chadha , Awadhesh Narayan