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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…

Strongly Correlated Electrons · Physics 2021-02-03 M. Tomé , H. D. Rosales

Hall effects of electrons can be produced by an external magnetic field, spin orbit-coupling or a topologically non-trivial spin texture. The topological Hall effect (THE) - caused by the latter - is commonly observed in magnetic skyrmion…

Strongly Correlated Electrons · Physics 2018-08-09 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

The topological Hall effect (THE) has attracted great attention since it provides an important probe of the interaction between electron and topological spin textures. THE has been considered an experimental signature of the topological…

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…

Materials Science · Physics 2023-06-09 Liang Wu , Yujun Zhang

We consider topological Hall effect (THE) in thin ferromagnetic films due to electron scattering on magnetic skyrmions in the presence of the relatively strong external magnetic field. We account for the effect of the magnetic field on a…

Mesoscale and Nanoscale Physics · Physics 2018-12-12 K. S. Denisov , I. V. Rozhansky , M. N. Potkina , I. S. Lobanov , E. Lahderanta , V. M. Uzdin

We demonstrate that the nontrivial magnetic texture of antiferromagnetic skyrmions (AFM-Sks) promotes a non-vanishing topological spin Hall effect (TSHE) on the flowing electrons. This results in a substantial enhancement of the…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 C. A. Akosa , O. A. Tretiakov , G. Tatara , A. Manchon

Topological Hall effect (THE), a quantum phenomenon arising from emergent magnetic field generated by topological spin texture, is a key method for detecting non-coplanar spin structures like skyrmions in magnetic materials. Here, we…

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…

We present a consistent theory of the topological Hall effect (THE) in 2D magnetic systems with disordered array of chiral spin textures, such as magnetic skyrmions. We focus on the scattering regime when the mean-free path of itinerant…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 K. S. Denisov , I. V. Rozhansky , N. S. Averkiev , E. Lahderanta

Skyrmions are topologically protected, two-dimensional, localized hedgehogs and whorls of spin. Originally invented as a concept in field theory for nuclear interactions, skyrmions are central to a wide range of phenomena in condensed…

Mesoscale and Nanoscale Physics · Physics 2019-03-19 M. Raju , A. Yagil , Anjan Soumyanarayanan , Anthony K. C. Tan , A. Almoalem , O. M. Auslaender , C. Panagopoulos

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…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Börge Göbel , Lennart Schimpf , Ingrid Mertig

Topological Hall effect (THE), an electrical transport signature of systems with chiral spin textures like skyrmions, has been observed recently in topological insulator (TI)-based magnetic heterostructures. However, the intriguing…

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…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Hsiao-Yi Chen , Takuya Nomoto , Max Hirschberger , Ryotaro Arita

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…

Mesoscale and Nanoscale Physics · Physics 2018-01-26 K. S. Denisov , I. V. Rozhansky , N. S. Averkiev , E. Lähderanta

The intrinsic spin Hall effect (SHE) originates from the topology of the Bloch bands in momentum space. The duality between real space and momentum space calls for a spin Hall effect induced from a real space topology in analogy to the…

Mesoscale and Nanoscale Physics · Physics 2019-04-09 Gen Yin , Yizhou Liu , Yafis Barlas , Jiadong Zang , Roger K. Lake

Topological Hall effect (THE) is a hallmark of scalar spin chirality, which is found in static skyrmion lattices. Recent theoretical works have shown that scalar spin chirality could also emerge dynamically from thermal spin fluctuations.…

Planar Topological Hall effect (PTHE) is known to arise from in-plane skyrmion tubes with an external magnetic field applied in the plane of the charge current. Here, we propose that the PTHE can robustly appear also from an unexpected…

Strongly Correlated Electrons · Physics 2020-09-02 Narayan Mohanta , Satoshi Okamoto , Elbio Dagotto

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.…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

The topological Hall effect is used extensively to study chiral spin textures in various materials. However, the factors controlling its magnitude in technologically-relevant thin films remain uncertain. Using variable temperature…

Topological transport phenomena in magnetic materials are a major topic of current condensed matter research. One of the most widely studied phenomena is the ``topological Hall effect'' (THE), which is generated via spin-orbit interactions…

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