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A nonlinear magnetoresistance - called unidirectional spin-Hall magnetoresistance - is recently experimentally discovered in metallic bilayers consisting of a heavy metal and a ferromagnetic metal. To study the fundamental mechanism of the…

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

The diffusion limit of the linear Boltzmann equation with a strong magnetic field is performed. The giration period of particles around the magnetic field is assumed to be much smaller than the collision relaxation time which is supposed to…

Analysis of PDEs · Mathematics 2010-05-31 Naoufel Ben Abdallah , Raymond El Hajj

Skyrmions as well as skyrmion bags in magnetic thin films are promising candidates for future high-density memory devices. The observation of skyrmion bags in liquid crystals and their predicted existence in ferromagnetic films has sparked…

Materials Science · Physics 2024-11-28 Naim Ahmad , Chirag Kalouni , Abhay Singh Rajawat , Waseem Akhtar

Here we report the investigation of the anomalous Hall effect in the magnetically doped topological insulator (V,Bi,Sb)2Te3. We find it contains two contributions of opposite sign. Both components are found to depend differently on carrier…

The spin Hall effect in tungsten films has been experimentally studied by using STM-based measurements. These measurements have been performed by using tungsten and iron coated tungsten tips. In the case of tungsten tips, it has been…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Ting Xie , Michael Dreyer , David Bowen , Dan Hinkel , R. E. Butera , Charles Krafft , Isaak Mayergoyz

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

Motivated by the recent discoveries of magnets harboring short-pitch skyrmion lattices, we investigate the skyrmion-size dependence of the topological Hall effect. By means of large-scale real-space calculations, we find that the Hall…

Mesoscale and Nanoscale Physics · Physics 2021-12-07 Akira Matsui , Takuya Nomoto , Ryotaro Arita

The spin Hall effect is a phenomenon that an electric field induces a spin Hall current. In this Letter, we examine the inverse effect that, in a ferromagnetic conductor, a charge Hall current is induced by a spin motive force, or a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Junya Shibata , Hiroshi Kohno

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

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.…

Skyrmions are particle-like topological textures that hold great promise for low-power electronics and wave-based functionalities. Yet their utility is hindered by the lack of robust and controllable transport. Here, we show that band…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Lei Liu , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen

We revisit a theory of skyrmion transport in ferromagnets. On a basis of an effective U(1) gauge theory for spin-chirality fluctuations in double-exchange ferromagnets, we derive an expression for the velocity of a skyrmion core driven by…

Mesoscale and Nanoscale Physics · Physics 2011-05-03 Ki-Seok Kim , Shigeki Onoda

The substantial amount of recent research into spin torques has been accompanied by a revival of interest in the spin-Hall effect. This effect contributes to the spin torque in many materials, including topological insulator/ferromagnet…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 James H. Cullen , Dimitrie Culcer

Despite significant advances in the last decade regarding the room temperature stabilization of skyrmions or their current induced dynamics, the impact of local material inhomogeneities still remains an important issue that impedes to reach…

An intriguing property of three-dimensional (3D) topological insulator (TI) is the existence of surface states with spin-momentum locking, which offers a new frontier of exploration in spintronics. Here, we report the observation of a new…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Pan He , Steven S. -L. Zhang , Dapeng Zhu , Shuyuan Shi , Olle G. Heinonen , Giovanni Vignale , Hyunsoo Yang

We observed a hump-like feature in Hall effects of SrRuO$_3$ ultrathin films, and systematically investigated it with controlling thicknesses, temperatures and magnetic fields. The hump-like feature is extremely stable, even surviving as a…

We study the high frequency Hall conductivity in a two-dimensional (2D) model of conduction electrons coupled to a background magnetic skyrmion texture via an effective Hund's coupling term. For an ordered skyrmion crystal, a Kubo formula…

Mesoscale and Nanoscale Physics · Physics 2023-12-22 Sopheak Sorn , Luyi Yang , Arun Paramekanti

We study electron scattering from a closed magnetic structure embedded in the top surface of a topological insulator (TI). Outside the structure there is a uniform layer of ferromagnetic insulator (FMI), leading to a positive effective mass…

Mesoscale and Nanoscale Physics · Physics 2020-02-10 Cheng-Zhen Wang , Hong-Ya Xu , Ying-Cheng Lai

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…

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