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Magnetic skyrmions, topologically-stabilized spin textures that emerge in magnetic systems, have garnered considerable interest due to a variety of electromagnetic responses that are governed by the topology. The topology that creates a…

We report measurements of the interaction-induced quantum Hall effect in a spin-polarized AlAs two-dimensional electron system where the electrons occupy two in-plane conduction band valleys. Via the application of in-plane strain, we tune…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. P. Shkolnikov , S. Misra , N. C. Bishop , E. P. De Poortere , M. Shayegan

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…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 P. B. N'diaye , C. A. Akosa , A. Manchon

Magnetic skyrmions are particle-like topological excitations in ferromagnets, which have the topological number $Q=\pm 1$, and hence show the skyrmion Hall effect (SkHE) due to the Magnus force effect originating from the topology. Here, we…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 Xichao Zhang , Yan Zhou , Motohiko Ezawa

Magnetic textures like skyrmions and domain walls coupled to itinerant electrons give rise to rich transport phenomena such as anomalous Hall effect and nonreciprocal current. An interesting case is when the transport coefficient is related…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Jun Mochida , Hiroaki Ishizuka

Non-volatile memory and computing technology rely on efficient read and write of ultra-tiny information carriers that do not wear out. Magnetic skyrmions are emerging as a potential carrier since they are topologically robust nanoscale spin…

The flow of electric current through a two-dimensional material in a magnetic field gives rise to the family of Hall effects. The quantum versions of these effects accommodate robust electronic edge channels and fractional charges.…

Strongly Correlated Electrons · Physics 2023-09-21 Robert Peters , Jannis Neuhaus-Steinmetz , Thore Posske

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…

Arising from emergent electromagnetic field of magnetic skyrmions due to their nontrivial topology, the skyrmion Hall effect might be a roadblock for practical applications since any longitudinal motions of skyrmions in nanotrack is…

Mesoscale and Nanoscale Physics · Physics 2016-01-22 Xichao Zhang , Yan Zhou , Motohiko Ezawa

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.…

Synthetic antiferromagnetic (SAF) skyrmions have emerged as promising candidates for next-generation high-speed and highly integrated spintronic devices, owing to their exceptional properties such as high driving velocity, nanoscale…

Mesoscale and Nanoscale Physics · Physics 2025-11-24 Xinbao Geng , Guanqi Li , Zhongxiang Zhang , Wenjing Hu , Wenjing Zhong , Xiaoming Xiong , Yongbing Xu , Zhendong Chen , Junlin Wang , Xiangyu Zheng , Jing Wu

We investigate topological Hall effects in a metallic antiferromagnetic (AFM) thin film and/or at the interface of an AFM insulator-normal metal bilayer with a single skyrmion in the diffusive regime. To determine the spin and charge Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-08 Amir N. Zarezad , Józef Barnaś , Anna Dyrdał , Alireza Qaiumzadeh

Skyrmions with the topological number $Q$ equal an integer larger than 1 are called high-topological-number skyrmions or high-$Q$ skyrmions. In this work, we theoretically study the topological Hall effect in square-lattice high-$Q$…

Mesoscale and Nanoscale Physics · Physics 2020-09-14 Rui Zhu , Weinan Liu

Skyrmions are topologically protected spin textures, characterized by a topological winding number N , that occur spontaneously in some magnetic materials. Recent experiments have demonstrated the capability to grow graphene on top Fe/Ir, a…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 J. L. Lado , J. Fernandez-Rossier

Optical skyrmions have attracted significant attention across diverse physical systems for their promising scenarios in ultra-precise metrology, optical information processing, and quantum technologies. However, the lack of effective method…

Optics · Physics 2026-05-13 Lvjin He , Shanshan Chen , Ziyang Chen , Lan Zhang , Lipeng Wan , Weimin Deng , Tianbao Yu

Magnetic skyrmions have garnered attention for their potential roles in spintronic applications, such as information carriers in computation, data storage, and nano-oscillators due to their small size, topological stability, and the…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Rajgowrav Cheenikundil , Zhiwei Lu , Manuel Pereiro , Anna Delin , Danny Thonig

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…

An improved composite-boson theory of quantum Hall ferromagnets is proposed. It is tightly related with the microscopic wave-function theory. The characteristic feature is that the field operator describes solely the physical degrees of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Z. F. Ezawa , K. Sasaki

Realizations of some topological phases in two-dimensional systems rely on the challenge of jointly incorporating spin-orbit and magnetic exchange interactions. Here, we predict the formation and control of a fully valley-polarized quantum…

Mesoscale and Nanoscale Physics · Physics 2021-10-25 Marc Vila , Jose H. Garcia , Stephan Roche

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