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We study the collective dynamics of the Skyrmion crystal (SkX) in thin films of ferromagnetic metals resulting from the nontrivial Skyrmion topology. We show that the current-driven motion of the crystal reduces the topological Hall effect…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Jiadong Zang , Maxim Mostovoy , Jung Hoon Han , Naoto Nagaosa

Skyrmion-containing devices have been proposed as a promising solution for low energy data storage. These devices include racetrack or logic structures and require skyrmions to be confined in regions with dimensions comparable to the size…

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

The Hall effect in SrRuO$_3$ thin-films near the thickness limit for ferromagnetism shows an extra peak in addition to the ordinary and anomalous Hall effects. This extra peak has been attributed to a topological Hall effect due to…

Strongly Correlated Electrons · Physics 2020-05-20 Graham Kimbell , Paul M. Sass , Bart Woltjes , Eun Kyo Ko , Tae Won Noh , Weida Wu , Jason W. A. Robinson

A microscopic description of (baby)skyrmions in quantum Hall ferromagnets is derived from a scattering theory of collective (neutral) spin modes by a bare quasiparticle. We start by mapping the low lying spectrum of spin waves in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. H. Oaknin , B. Paredes , C. Tejedor

The nonlinear Hall effect (NLHE) has been detected in various of condensed matter systems. Unlike linear Hall effect, NLHE may exist in physical systems with broken inversion symmetry in the crystal. On the other hand, real space spin…

Strongly Correlated Electrons · Physics 2024-10-15 Wen-Tao Hou , Jiadong Zang

Magnetic skyrmion crystals with zero net skyrmion charge and zero topological Hall response are interesting candidate phases which can occur at a vanishing magnetic field in centrosymmetric systems. We study a minimal bilayer model of…

Mesoscale and Nanoscale Physics · Physics 2025-08-11 Andrew Hardy , Anjishnu Bose , Tanmay Grover , Arun Paramekanti

We theoretically study the quantized anomalous Hall effect (QAHE) in skyrmion crystal (SkX) without external magnetic field. The emergent magnetic field in SkX could be gigantic as much as $\sim4000$T when its lattice constant is $\sim1$nm.…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Keita Hamamoto , Motohiko Ezawa , Naoto Nagaosa

Here, we report on the experimental discovery of biskyrmion magnetic nanodomains at RT and the observation of a biskyrmion-derived topological Hall effect (THE) in the centrosymmetric hexagonal MnNiGa magnet. Using a phase reconstruction…

Emergent magnetic fields exerted by topological spin textures of magnets lead to an additional Hall response of itinerant carriers called the topological Hall effect (THE). While THE as a bulk effect has been widely studied, THE driven by…

Materials Science · Physics 2024-07-31 S. Nishihaya , Y. Watanabe , M. Kriener , A. Nakamura , M. Uchida

We discuss the contribution of magnetic Skyrmions to the Hall viscosity and propose a simple way to identify it in experiments. The topological Skyrmion charge density has a distinct signature in the electric Hall conductivity that is…

Strongly Correlated Electrons · Physics 2017-12-22 Bom Soo Kim

Magnetic frustrated systems have resurged in spintronics as optimal candidates for hosting three dimensional topological solitons, such as Shankar skyrmions and 4$\pi$-vortices, and other singular topological defects. These topological…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Ricardo Zarzuela , Jairo Sinova

Exploring exotic interface magnetism due to charge transfer and strong spin-orbit coupling has profound application in future development of spintronic memory. Here, the emergence, tuning and interpretation of hump-shape Hall Effect from a…

Despite being known for a long time the anomalous Hall effect still attracts attention because of its complex origins, its connection to topology and because it serves as a useful probe of the magnetic order. Here we study the anomalous…

Materials Science · Physics 2022-05-31 Jakub Železný , Yuta Yahagi , Carlés-Gomez Ollivella , Yang Zhang , Yan Sun

Recent magnetotransport studies on uniaxial ferromagnets have reported a cusplike feature in Hall resistivity when the magnetic field is tilted away from the conventional orthogonal direction of the Hall measurement. This feature has often…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Banik Rai , Nitesh Kumar

We investigate skyrmion formation in both a single crystalline bulk and epitaxial thin films of MnSi by measurements of planar Hall effect. A prominent stepwise field profile of planar Hall effect is observed in the well-established…

Strongly Correlated Electrons · Physics 2015-10-28 T. Yokouchi , N. Kanazawa , A. Tsukazaki , Y. Kozuka , A. Kikkawa , Y. Taguchi , M. Kawasaki , M. Ichikawa , F. Kagawa , Y. Tokura

The discovery of skyrmions has sparked tremendous interests about topologically nontrivial spin textures in recent times. The signature of noncoplanar nature of magnetic moments can be observed as topological Hall effect (THE) in electrical…

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…

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

Understanding the effects of interfacial modification to the functional properties of magnetic topological insulator thin films is crucial for developing novel technological applications from spintronics to quantum computing. Here, we…

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