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Noncollinear antiferromagnets can generate a transverse electrical response known as the anomalous Hall effect, even though they possess almost no net magnetization. The microscopic origin of this behaviour, however, has remained unclear…

Magnetically doped topological insulators have been extensively studied over the past decade as a material platform to exhibit quantum anomalous Hall effect. Most material realizations are magnetically doped and despite material advances…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Zhenisbek Tagay , Hee Taek Yi , Deepti Jain , Seongshik Oh , N. P. Armitage

In this paper, we report results on the anomalous Hall effect. First, we summarize analytical calculations based on the Kubo formalism : explicit expressions for both skew-scattering and side-jump are derived and weak-localization…

Condensed Matter · Physics 2009-11-07 A. Crépieux , J. Wunderlich , V. K. Dugaev , P. Bruno

Nonsymmorphic crystals can host characteristic double surface Dirac cones with fourfold degeneracy on the Dirac points, called wallpaper fermion, protected by wallpaper group symmetry. We clarify the charge and spin Hall effect of wallpaper…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Koki Mizuno , Ai Yamakage

Intrinsic anomalous Hall effect (AHE) formulated by geometric properties of Bloch wavefunctions is a ubiquitous transport phenomenon not limited to magnetic systems but also allowed in non-magnetic ones under an external field breaking…

Altermagnetism, a recently identified magnetic phase that combines vanishing net magnetization with momentum-dependent spin splitting, challenges the conventional dichotomy between ferromagnets and antiferromagnets. While several candidate…

Altermagnetism, a new class of collinear compensated magnetic phase, has garnered tremendous interest because of its rich physics and promising applications. Physical models and verified material candidates for altermagnetism remain…

Strongly Correlated Electrons · Physics 2025-04-28 Xingchuan Zhu , Xingmin Huo , Shiping Feng , Song-Bo Zhang , Shengyuan A. Yang , Huaiming Guo

Integrating real-space topological spin textures with momentum-space topological electronic states within a single altermagnetic system has remained a persistent challenge. Here, we introduce a symmetry-locked bilayer altermagnet that…

Materials Science · Physics 2026-03-03 Shuo Zhang , Zijie Fu , Lixiu Guan , Yirui Du , Linyang Li , Junguang Tao

The newly discovered altermagnets are unconventional collinear compensated magnetic systems, exhibiting even (d, g, or i-wave) spin-polarization order in the band structure, setting them apart from conventional collinear ferromagnets and…

Materials Science · Physics 2024-02-02 Atasi Chakraborty , Rafael González Hernández , Libor šmejkal , Jairo Sinova

We propose a magnon-driven anomalous Hall effect in altermagnets, arising from the coupling between coherently excited chiral magnons and chiral electronic motion. Using density-matrix perturbation theory and symmetry analysis, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Zheng Liu , Yang Gao , Qian Niu

Altermagnetism simultaneously possesses nonrelativistic spin responses and zero net magnetization, thus combining advantages of ferromagnetism and antiferromagnetism. This superiority originates from its unique dual feature, i.e.,…

The field of a traveling circularly polarized electromagnetic wave and a constant magnetic field localizes fermions perpendicularly to propagation of the wave in the cross section of the order of the wavelength. Unusual exact solutions of…

Quantum Physics · Physics 2015-08-24 B. V. Gisin

Altermagnets host spin-split electronic bands without net magnetization, enabling spin-polarized transport in the absence of conventional ferromagnetism. RuO$_2$ has been proposed as a candidate altermagnet, yet experimental reports remain…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Alexandra J. Howzen , Sachin Gupta , Gavin Burnell , Nathan Satchell

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

A three-dimensional topological insulator features a two-dimensional surface state consisting of a single linearly-dispersive Dirac cone. Under broken time-reversal symmetry, the single Dirac cone is predicted to cause half-integer…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 M. Mogi , Y. Okamura , M. Kawamura , R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , T. Morimoto , N. Nagaosa , M. Kawasaki , Y. Takahashi , Y. Tokura

Altermagnetism is a newly discovered magnetic class named after the alternating spin polarizations in both real and reciprocal spaces. Like the spin-splitting of electronic bands, the magnon bands in altermagnets are predicted to exhibit…

Strongly Correlated Electrons · Physics 2024-10-16 Zheyuan Liu , Makoto Ozeki , Shinichiro Asai , Shinichi Itoh , Takatsugu Masuda

The search for novel magnetic quantum phases, phenomena and functional materials has been guided by relativistic magnetic-symmetry groups in coupled spin and real space from the dawn of the field in 1950s to the modern era of topological…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Libor Šmejkal , Jairo Sinova , Tomas Jungwirth

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

Here we report the investigation of the anomalous Hall effect in the magnetically doped topological insulator (V,Bi,Sb)2Te3. We find it contains two contributions of opposite sign. Both components are found to depend differently on carrier…

We study the quantum Hall effect of Dirac fermions on the surface of a Wilson-Dirac type topological insulator thin film in the strong topological insulating phase. Although a magnetic field breaks time reversal symmetry of the bulk, the…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Takeshi Furusawa , Takahiro Fukui
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