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This article reviews the main contributions to the anomalous Hall effect and its resurgence in the past three decades, which has been accompanied by the rise of topological phenomena and topological materials. I will show that the anomalous…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Dimitrie Culcer

The spin anomalous Hall effect (SAHE) in ferromagnetic metals, which can generate spin-orbit torque to rotate the magnetization of another ferromagnetic layer through a non-magnetic spacer in magnetic junctions, has attracted much…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Yoshio Miura , Keisuke Masuda

Crystallographic anisotropy of the spin-dependent conductivity tensor can be exploited to generate transverse spin-polarized current in a ferromagnetic film. This ferromagnetic spin Hall effect is analogous to the spin-splitting effect in…

Materials Science · Physics 2024-02-09 K. D. Belashchenko

A theory of the anomalous and spin Hall effects, based on the space distribution of the current densities, is presented. Spin-orbit coupling gives rise to a space separation of the mass centers, as well as a current density separation of…

Mesoscale and Nanoscale Physics · Physics 2010-09-09 Pavel Středa , Thibaut Jonckheere

A possibility to excite a stable self-oscillation in a perpendicularly magnetized ferromagnet by the spin Hall effect is investigated theoretically. It had been shown that such self-oscillation cannot be stabilized solely by the direct spin…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 Tomohiro Taniguchi

Spin-Hall oscillators are promising sources of spin-wave signals for magnonics applications, and can serve as building blocks for magnonic logic in ultralow power computation devices. Here, we analytically and micromagnetically study…

The Hall effect usually occurs when the Lorentz force acts on a charge current in a conductor in the presence of perpendicular magnetic field. On the other hand, neutral quasi-particles such as phonons and spins can carry heat current and…

Materials Science · Physics 2010-08-12 Y. Onose , T. Ideue , H. Katsura , Y. Shiomi , N. Nagaosa , Y. Tokura

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

Orbital angular momentum transport has emerged as a promising route for manipulating magnetic devices, yet its generation has largely relied on the conventional orbital Hall effect. Here, we show that ferro-rotational order enables the…

Materials Science · Physics 2026-02-12 Daegeun Jo , Peter M. Oppeneer

Current-induced spin torque and magnetization dynamics in the presence of spin Hall effect in magnetic textures is studied theoretically. The local deviation of the charge current gives rise to a current-induced spin torque of the form…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Aurelien Manchon , Kyung-Jin Lee

We show that direct current in a tantalum microstrip can induce steady-state magnetic oscillations in an adjacent nanomagnet through spin torque from the spin Hall effect (SHE). The oscillations are detected electrically via a magnetic…

Materials Science · Physics 2015-06-11 Luqiao Liu , Chi-Feng Pai , D. C. Ralph , R. A. Buhrman

Spin-orbit torque (SOT) can drive sustained spin wave (SW) auto-oscillations in a class of emerging microwave devices known as spin Hall nano-oscillators (SHNOs), which have highly non-linear properties governing robust mutual…

Spin current--a flow of electron spins without a charge current--is an ideal information carrier free from Joule heating for electronic devices. The celebrated spin Hall effect, which arises from the relativistic spin-orbit coupling,…

Strongly Correlated Electrons · Physics 2019-10-09 Makoto Naka , Satoru Hayami , Hiroaki Kusunose , Yuki Yanagi , Yukitoshi Motome , Hitoshi Seo

Current-induced torques on ferromagnetic nanoparticles and on domain walls in ferromagnetic nanowires are normally understood in terms of transfer of conserved spin angular momentum between spin-polarized currents and the magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. M. Haney , R. A. Duine , A. S. Nunez , A. H. MacDonald

The anomalous Hall effect has been indispensable in our understanding of numerous magnetic phenomena. This concerns both ferromagnetic materials, as well as diverse classes of antiferromagnets, where in addition to the anomalous and crystal…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 J. Kipp , K. Samanta , F. R. Lux , M. Merte , J. -P. Hanke , M. Redies , F. Freimuth , S. Blügel , M. Ležaić , Y. Mokrousov

The spin currents generated by spin-orbit coupling (SOC) in the nonmagnetic metal layer or at the interface with broken inversion symmetry are of particular interest and importance. Here, we have explored the spin current generation…

Materials Science · Physics 2020-03-02 Q. B. Liu , K. K. Meng , S. Q. Zheng , Y. C. Wu , J. Miao , X. G. Xu , Y. Jiang

We unveil novel spin-orbit torque mechanisms driven by topological edge states in magnetic graphene-based devices. Within the energy gap, a damping-like torque plateau emerges within the quantum anomalous Hall phase upon breaking…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 Joaquín Medina Dueñas , José H. García , Stephan Roche

Anomalous spin-Hall effects (SHE) and anomalous inverse spin-Hall effects (ISHE) are predicted when the order parameters are involved in the charge-spin interconversion. A spin current whose propagation and polarization are collinear and…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 X. R. Wang

Magnetic skyrmionium is a skyrmion-like spin texture with nanoscale size and high mobility. It is a topologically trivial but dynamically stable structure, which can be used as a non-volatile information carrier for next-generation…

Mesoscale and Nanoscale Physics · Physics 2021-11-25 Xue Liang , Xichao Zhang , Laichuan Shen , Jing Xia , Motohiko Ezawa , Xiaoxi Liu , Yan Zhou

We studied the effect of strong electric current on spin waves interacting relativistically with the current. The spin-wave spectrum is calculated at arbitrary direction of the wave vector. It is shown that the alternating Hall current…

Materials Science · Physics 2009-11-13 I. Ya. Korenblit