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The topological Hall effect is a hallmark of topologically non-trivial magnetic textures such as magnetic skyrmions. It quantifies the transverse electric current that is generated once an electric field is applied and occurs as a…

介观与纳米尺度物理 · 物理学 2025-01-14 Börge Göbel , Lennart Schimpf , Ingrid Mertig

The topological Hall effect in magnetic materials is considered the ultimate trademark of the skyrmion phase. The phenomenon is identified by distinct non-monotonic features in the Hall effect signal presumed to be the evidence of the…

材料科学 · 物理学 2019-01-30 Alexander Gerber

The topological Hall effect (THE) originates from the real-space Berry phase that an electron gains when its spin follows the spatially varying non-trivial magnetization textures, such as skyrmions. Such topologically protected…

材料科学 · 物理学 2023-06-09 Liang Wu , Yujun Zhang

We demonstrate the emergence of an anomalous Hall effect in chiral magnetic textures which is neither proportional to the net magnetization nor to the well-known emergent magnetic field that is responsible for the topological Hall effect.…

介观与纳米尺度物理 · 物理学 2020-03-11 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect (THE) does not require any spin-orbit coupling, and arises solely from Berry phase acquired by…

材料科学 · 物理学 2009-11-10 P. Bruno , V. K. Dugaev , M. Taillefumier

The quantum anomalous Hall effect has been theoretically predicted and experimentally verified in magnetic topological insulators. In addition, the surface states of these materials exhibit a hedgehog-like "spin" texture in momentum space.…

介观与纳米尺度物理 · 物理学 2017-04-07 Narayan Mohanta , Arno P. Kampf , Thilo Kopp

Current-driven dynamics of spin textures plays a pivotal role in potential applications for electronic devices. While two-dimensional magnetic skyrmions with topologically nontrivial spin textures have garnered significant interest, their…

强关联电子 · 物理学 2025-04-25 Kotaro Shimizu , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

The anomalous Hall effect is caused by magnetic textures such as skyrmions. We derive an analytical formula of the Hall conductivity on the surface of a topological insulator up to third order in magnetization,…

介观与纳米尺度物理 · 物理学 2021-04-30 Terufumi Yamaguchi , Ai Yamakage

The topological Hall effect (THE), given by a composite of electric and topologically non-trivial spin texture is commonly observed in magnetic skyrmion crystals. Here we present a study of the THE of electrons coupled to antiferromagnetic…

强关联电子 · 物理学 2021-02-03 M. Tomé , H. D. Rosales

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,…

强关联电子 · 物理学 2016-07-27 J. Matsuno , N. Ogawa , K. Yasuda , F. Kagawa , W. Koshibae , N. Nagaosa , Y. Tokura , M. Kawasaki

The Berry phase understanding of electronic properties has attracted special interest in condensed matter physics, leading to phenomena such as the anomalous Hall effect and the topological Hall effect. A non-vanishing Berry phase, induced…

We carry out a throughout study of the topological Hall and topological spin Hall effects in disordered skyrmionic systems: the dimensionless (spin) Hall angles are evaluated across the energy band structure in the multiprobe…

介观与纳米尺度物理 · 物理学 2017-03-01 P. B. N'diaye , C. A. Akosa , A. Manchon

Non-collinear triangular antiferromagnets with a coplanar spin arrangement and vanishing net magnetic moment can exhibit a large anomalous Hall effect owing to their non-vanishing momentum space Berry curvature. Here we show the existence…

强关联电子 · 物理学 2019-05-15 Pradeep K. Rout , P. V. Prakash Madduri , Subhendu K. Manna , Ajaya K. Nayak

We formulate a first-principles approach for calculating the topological Hall effect (THE) in magnets with noncollinear nanoscale spin textures. We employ a modeling method to determine the effective magnetic field induced by the spin…

介观与纳米尺度物理 · 物理学 2024-07-09 Hsiao-Yi Chen , Takuya Nomoto , Max Hirschberger , Ryotaro Arita

Magnetic skyrmions have attracted enormous research interest since their discovery a decade ago. The non-trivial real-space topology of these nano-whirls leads to fundamentally interesting and technologically relevant consequences - the…

介观与纳米尺度物理 · 物理学 2021-01-18 Börge Göbel , Ingrid Mertig , Oleg A. Tretiakov

When a magnon passes through two-dimensional magnetic textures, it will experience a fictitious magnetic field originating from the $3\times 3$ skew-symmetric gauge fields. To date, only one of the three independent components of the gauge…

介观与纳米尺度物理 · 物理学 2023-01-10 Zhejunyu Jin , Xianglong Yao , Zhenyu Wang , H. Y. Yuan , Zhaozhuo Zeng , Yunshan Cao , Peng Yan

Emerging magnetic fields related to the presence of topologically protected spin textures such as skyrmions are expected to give rise to additional, topology-related contributions to the Hall effect. In order to doubtlessly identify this…

We present an experimental evidence of \emph{topological} Hall-effect in an all-optical third-order nonlinear optical process via spatial symmetry-breaking in pseudo-spin textures created by a spatially-structured pump laser beam. The…

光学 · 物理学 2025-10-03 Soumik Nandi , Arannya Ghosh , Ashok K Mohapatra , Ritwick Das

We propose a new theory of the topological Hall effect (THE) in systems with chiral magnetization vortices such as magnetic skyrmions. We solve the problem of electron scattering on a magnetic skyrmion exactly, for an arbitrary strength of…

介观与纳米尺度物理 · 物理学 2018-01-26 K. S. Denisov , I. V. Rozhansky , N. S. Averkiev , E. Lähderanta

Electron spin-momentum locking together with background magnetic textures can significantly alter the electron transport properties. We theoretically investigate the electron transport at the interface between a topological insulator and a…

介观与纳米尺度物理 · 物理学 2017-10-13 Yasufumi Araki , Kentaro Nomura
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