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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

Magnetic skyrmions are magnetic quasi-particles with enhanced stability and different manipulation mechanisms using external fields and currents making them promising candidates for future applications for instance in neuromorphic…

Materials Science · Physics 2023-03-30 Thomas Brian Winkler , Jan Rothörl , Maarten A. Brems , Hans Fangohr , Mathias Kläui

A moving magnetic skyrmion exhibits transverse deflection. This so-called skyrmion Hall effect has been explained by the Thiele equation. Here, we provide an alternative interpretation of the skyrmion Hall effect based on the dynamics of…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Kyoung-Woong Moon , Jungbum Yoon , Changsoo Kim , Jae-Hun Sim , Se Kwon Kim , Soong-Geun Je , Chanyong Hwang

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 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

Integrating topologically stabilized magnetic textures such as skyrmions as nanoscale information carriers into future technologies requires the reliable control by electric currents. Here, we uncover that the relevant skyrmion Hall effect,…

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

Competing magnetic interactions may stabilize smooth magnetization textures that can be characterized by a topological winding number. Such textures, which are spatially localized within a two-dimensional plane, are commonly known as…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Alexander P. Petrović , Christina Psaroudaki , Peter Fischer , Markus Garst , Christos Panagopoulos

Magnetic whirls in chiral magnets, so-called skyrmions, can be manipulated by ultrasmall current densities. Here we study both analytically and numerically the interactions of a single skyrmion in two dimensions with a small hole in the…

Strongly Correlated Electrons · Physics 2015-03-05 Jan Müller , Achim Rosch

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

Topology establishes a unifying framework for a diverse range of scientific areas including particle physics, cosmology, and condensed matter physics. One of the most fascinating manifestations of topology in the context of condensed matter…

Magnetic skyrmions are localized swirls of magnetization with a non-trivial topological winding number. This winding increases their robustness to superparamagnetism and gives rise to a myriad of novel dynamical properties, making them…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Richard Brearton , Gerrit van der Laan , Thorsten Hesjedal

The topological Hall effect (THE), as one of the primary manifestations of non-trivial topology of chiral skyrmions, is traditionally used to detect the emergence of skyrmion lattices with locally ferromagnetic order. In this work we…

Materials Science · Physics 2017-05-18 Patrick M. Buhl , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

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

Magnetic skyrmions are highly promising candidates for future spintronic applications such as skyrmion racetrack memories and logic devices. They exhibit exotic and complex dynamics governed by topology and are less influenced by defects,…

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

When spin polarised electrons flow through a magnetic texture a transfer torque is generated. We examine the effect of this torque on skyrmions and skyrmion bags, skyrmionic structures of arbitrary integer topological degree, in thin…

Materials Science · Physics 2021-04-07 Charles Kind , David Foster

Motivated by recent experiments on the observation of room temperature skyrmions in a layered heterostructure and subsequent demonstration of topological Hall effect in the same system, we have studied a minimal model of itinerant electrons…

Strongly Correlated Electrons · Physics 2020-05-27 Nyayabanta Swain , Munir Shahzad , Pinaki Sengupta

Magnetic skyrmions, topologically stabilized chiral magnetic textures with particle-like properties have so far primarily been studied statically. Here, we experimentally investigate the dynamics of skyrmion ensembles in metallic thin film…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Klaus Raab , Maurice Schmitt , Maarten A. Brems , Jan Rothörl , Fabian Kammerbauer , Sachin Krishnia , Mathias Kläui , Peter Virnau

The well-known Hall effect describes the transverse deflection of charged particles (electrons or holes) in an electric-current carrying conductor under the influence of perpendicular magnetic fields, as a result of the Lorentz force.…

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