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Electrical detection of topological magnetic textures such as skyrmions is currently limited to conducting materials. While magnetic insulators offer key advantages for skyrmion technologies with high speed and low loss, they have not yet…

Discoveries of interfacial topological Hall effect (THE) provide an ideal platform for exploring physics arising from the interplay between topology and magnetism. The interfacial topological Hall effect is closely related to the…

Electric current flows parallel to the outer product of an applied electric field and temperature gradient, a phenomenon we call the nonlinear chiral thermo-electric (NCTE) Hall effect. We present a general microscopic formulation of this…

Mesoscale and Nanoscale Physics · Physics 2023-05-10 Terufumi Yamaguchi , Kazuki Nakazawa , Ai Yamakage

Skyrmions are small magnetic quasiparticles, which are uniquely characterized by their topological charge and their helicity. In this Rapid Communication, we show via calculations how both properties can be determined without relying on…

Strongly Correlated Electrons · Physics 2019-02-20 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

We investigate the skyrmion formation process in nano-structured FeGe Hall-bar devices by measurements of topological Hall effect, which extracts the winding number of a spin texture as an emergent magnetic field. Step-wise profiles of…

Strongly Correlated Electrons · Physics 2015-06-23 N. Kanazawa , M. Kubota , A. Tsukazaki , Y. Kozuka , K. S. Takahashi , M. Kawasaki , M. Ichikawa , F. Kagawa , Y. Tokura

Skyrmion lattices as a novel type of chiral spin states are attracting increasing attention, owing to their peculiar properties stemming from real-space topological properties. At the same time, the properties of magnetic Weyl semimetals…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 M. Redies , F. R. Lux , J. -P. Hanke , P. M. Buhl , S. Blügel , Y. Mokrousov

Skyrmions are topologically nontrivial, magnetic quasi-particles, that are characterized by a topological charge. A regular array of skyrmions - a skyrmion crystal (SkX) - features the topological Hall effect (THE) of electrons, that, in…

Strongly Correlated Electrons · Physics 2017-08-16 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

Extensive research has focused on phenomena arising from the chirality of crystalline or magnetic structures. Recently, we have proposed the "Nonlinear Chiral Thermo-Electric (NCTE) Hall effect," in which current flows in the direction of…

Strongly Correlated Electrons · Physics 2024-10-02 Kazuki Nakazawa , Terufumi Yamaguchi , Ai Yamakage

Multi-$Q$ magnets consist of superposed spin density waves with distinct magnetic modulation vectors, enabling a wide range of magnetic orders depending on their combination. Among them, topologically nontrivial spin textures, such as a…

Strongly Correlated Electrons · Physics 2025-12-12 Satoru Ohgata , Satoru Hayami

Magnetic skyrmions offer promising prospects for constructing future energy-efficient and high-density information technology, leading to extensive explorations of new skyrmionic materials recently. The topological Hall effect has been…

Electron transport coupled with magnetism has attracted attention over the years as exemplified in anomalous Hall effect due to a Berry phase in momentum space. Another type of unconventional Hall effect -- topological Hall effect,…

Strongly Correlated Electrons · Physics 2016-07-27 J. Matsuno , N. Ogawa , K. Yasuda , F. Kagawa , W. Koshibae , N. Nagaosa , Y. Tokura , M. Kawasaki

Magnetic skyrmions are topologically stable objects that are made with a bunch of spins tightly arranged in a smooth fashion. Their topological nature provides unusual and complex transport properties, such as the skyrmion Hall effect.…

Materials Science · Physics 2022-01-19 Bom Soo Kim

Materials systems with spin chirality can provide ultra-high-density, ultra-fast, and ultralow-power information carriers for digital transformation. These material systems include magnetic skyrmions, chiral domain walls, spin…

Materials Science · Physics 2024-03-27 Zixuan Zhang , Mingyue Zhao , Li Ma , Guoke Li , Congmian Zhen , Dewei Zhao , Denglu Hou

The topological Hall effect is the result of spin-asymmetric deflection of charge carriers flowing through a non-collinear spin system. Effective manipulation of the topological Hall conductivity (THC) in skyrmions is currently a vigorous…

Materials Science · Physics 2025-08-12 Arijit Mandal , S. Satpathy , B. R. K. Nanda

Analytical calculations and micromagnetic simulations are used to determine the Berry curvature and topological Hall effect (THE) due to conduction electrons in small ferromagnetic particles. Our focus is on small particles of…

We investigate the topological Hall effect (THE) in the monoaxial chiral crystal GdPt$_2$B, a recently discovered compound that exhibits putative helimagnetism below 87 K. The distinct THE was observed in GdPt2B in the magnetically ordered…

Strongly Correlated Electrons · Physics 2023-06-28 Yoshiki J. Sato , Hikari Manako , Ryuji Okazaki , Yukio Yasui , Ai Nakamura , Dai Aoki

The topological Hall effect (THE) of electrons in skyrmion crystals is strongly related to the quantum Hall effect (QHE) on lattices. This relation suggests to revisit the QHE because its Hall conductivity can be unconventionally quantized.…

Strongly Correlated Electrons · Physics 2017-10-17 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

Topological spin textures as an emerging class of topological matter offer a medium for information storage and processing. The recently discovered topological Hall effect (THE) is considered as a fingerprint for electrically probing…

Skyrmions are spatially localized magnetic swirls which carry a nonzero integer topological charge. We study crystals of skyrmions in a two-dimensional ferromagnet model with chiral interactions induced by the presence of broken inversion…

Strongly Correlated Electrons · Physics 2021-07-22 Sopheak Sorn , Stefan Divic , Arun Paramekanti

Geometric Berry phase can be induced either by spin-orbit coupling, giving rise to the anomalous Hall effect in ferromagnetic materials, or by chiral spin texture, such as skyrmions, leading to the topological Hall effect. Recent…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Jian-Xiao Zhang , Domenico Andreoli , Jiadong Zang , Chao-Xing Liu
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