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A new type of anomalous Hall effect is shown to arise from the interaction of conduction electrons with dipolar spin waves in ferromagnets. This effect exists even in homogeneous ferromagnets without relativistic spin-orbit coupling. The…

Materials Science · Physics 2015-10-14 Kei Yamamoto , Koji Sato , Eiji Saitoh , Hiroshi Kohno

The anomalous Hall effect, observed in conducting ferromagnets with broken time-reversal symmetry, offers the possibility to couple spin and orbital degrees of freedom of electrons in ferromagnets. In addition to charge, the anomalous Hall…

Materials Science · Physics 2018-07-04 Yumeng Yang , Ziyan Luo , Haijun Wu , Yanjun Xu , Run-Wei Li , Stephen J. Pennycook , Shufeng Zhang , Yihong Wu

We re-examine the recent claim that a Dirac particle freely falling in a uniform gravitational field exhibits a spin-dependent transverse deflection (gravitational spin Hall effect). Using a circulating mass model, we show that hidden…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Andrzej Czarnecki , Ting Gao

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

Semiclassical chiral fermions manifest the anomalous spin-Hall effect: when put into a pure electric field they suffer a side jump, analogous to what happens to their massive counterparts in non-commutative mechanics. The transverse shift…

High Energy Physics - Theory · Physics 2014-10-16 P. -M. Zhang , P. A. Horváthy

The quantum Hall effect under the influence of gravity and inertia is studied in a unified way. We make use of an algebraic approach, as opposed to an analytic approach. We examine how both the integer and the fractional quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Alexandre Landry , Fayçal Hammad , Reza Saadati

Charged particles exhibit the Hall effect in the presence of magnetic fields. Analogously, ferromagnetic skyrmions with non-zero topological charges and finite fictitious magnetic fields exhibit the skyrmion Hall effect, which is…

Spin Hall Effect is relativistic quantum mechanical effect which enables non-magnetic materials show magnetic phenomena without the application of a magnetic field. With spin Hall Effect, one can realize spintronics devices operating purely…

Mesoscale and Nanoscale Physics · Physics 2017-08-11 Dhavala Suri , R. S. Patel

A unified theory of the anomalous Hall effect (AHE) is presented for multi-band ferromagnetic metallic systems with dilute impurities. In the clean limit, the AHE is mostly due to the extrinsic skew-scattering. When the Fermi level is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Hang Chi , Jagadeesh S. Moodera

We predict a spin anomalous-Hall unidirectional magnetoresistance (AH-UMR) in conducting bilayers composed of a ferromagnetic layer and a nonmagnetic layer, which does $\textit{not}$ rely on the spin Hall effect in the normal metal…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 M. Mehraeen , Steven S. -L. Zhang

Inertial effects play an important role in classical mechanics but have been largely overlooked in quantum mechanics. Nevertheless, the analogy between inertial forces on mass particles and electromagnetic forces on charged particles is not…

Mesoscale and Nanoscale Physics · Physics 2015-03-03 Julio E. Brandão , F. Moraes , M. M. Cunha , Jonas R. F. Lima , C. Filgueiras

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Steven S. -L. Zhang , Giovanni Vignale

We predict a specific type of charge Hall effect in undoped ferromagnetic graphene that is generated by the spin Hall mechanism in the absence of an external magnetic field. The essential feature is the so-called spin chiral configuration…

Mesoscale and Nanoscale Physics · Physics 2013-09-27 Babak Zare Rameshti , Malek Zareyan

We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating…

High Energy Physics - Theory · Physics 2011-04-28 Ahmed Jellal , Rachid Houca

We explain the intrinsic spin Hall effect from generic anyon dynamics in the presence of external electromagnetic field. The free anyon is represented as a spinning particle with an underlying non-commutative configuration space. The Berry…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 S. Dhar , B. Basu , Subir Ghosh

Chudnovsky recently proposed (arXiv: 0709.0725) a beautifully simple mechanism for the intrinsic spin Hall effect involving an extension of the Drude model. We point out that an equivalent proposal was made by us in an alternative treatment…

Mesoscale and Nanoscale Physics · Physics 2007-09-11 J. E. Hirsch

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

The anomalous Hall effect in two-dimensional ferromagnets is discussed to be the physical realization of the parity anomaly in (2+1)D, and the band crossing points behave as the topological singularity in the Brillouin zone. This appears as…

Strongly Correlated Electrons · Physics 2009-11-07 Masaru Onoda , Naoto Nagaosa

Spin, anomalous, and valley Hall effects in graphene-based hybrid structures are studied theoretically within the Green function formalism and linear response theory. Two different types of hybrid systems are considered in detail: (i)…

Mesoscale and Nanoscale Physics · Physics 2017-05-10 A. Dyrdał , J. Barnaś
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