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We propose a new theory of the topological Hall effect (THE) in systems with chiral magnetization vortices such as magnetic skyrmions. We solve the problem of electron scattering on a magnetic skyrmion exactly, for an arbitrary strength of…

Mesoscale and Nanoscale Physics · Physics 2018-01-26 K. S. Denisov , I. V. Rozhansky , N. S. Averkiev , E. Lähderanta

Electrical control of the non-trivial topology in Weyl antiferromagnet is of great interests to develop next-generation spintronic devices. Recent works suggest that spin Hall effect can switch the topological antiferromagnetic order.…

Topological phase in magnetic materials yields a quantized contribution to the Hall effect known as the topological Hall effect, which is often caused by skyrmions, with each skyrmion creating a magnetic flux quantum h/e. The control and…

An intriguing phenomenon in topological semimetals and topological insulators is the negative magnetoresistance (MR) observed when a magnetic field is applied along the current direction. A prevailing understanding to the negative MR in…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 Xin Dai , Z. Z. Du , Hai-Zhou Lu

Topological transport phenomena in magnetic materials are a major topic of current condensed matter research. One of the most widely studied phenomena is the ``topological Hall effect'' (THE), which is generated via spin-orbit interactions…

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…

Topological Hall effect (THE) of electrons coupled to a noncoplanar spin texture has been studied so far for the strong- and weak-coupling regimes separately; the former in terms of the Berry phase and the latter by perturbation theory. In…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Kazuki Nakazawa , Manuel Bibes , Hiroshi Kohno

A magnetic domain boundary on the surface of a three-dimensional topological insulator is predicted to host a chiral edge state, but direct demonstration is challenging. Here, we used a scanning superconducting quantum interference device…

Mesoscale and Nanoscale Physics · Physics 2015-08-18 Y. H. Wang , J. R. Kirtley , F. Katmis , P. Jarillo-Herrero , J. S. Moodera , K. A. Moler

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

We report the anomalous and topological Hall effect of the ferromagnetic Weyl semimetal Mn$_5$Ge$_3$. We observe a significant anisotropic anomalous Hall effect (AHE) due to nonzero Berry curvature in the momentum space, such that the…

Materials Science · Physics 2025-04-08 Achintya Low , Tushar Kanti Bhowmik , Susanta Ghosh , Susmita Changdar , Setti Thirupathaiah

In topological materials, the planar Hall effect (PHE) is often regarded as a hallmark of profound quantum phenomena-most notably the Adler-Bell-Jackiw chiral anomaly and Berry curvature-rendering it an indispensable tool for deciphering…

Strongly Correlated Electrons · Physics 2025-08-28 Xiangqi Liu , Ziyi Zhu , Yixuan Luo , Zhengyang Li , Bo Bai , Jingcheng Huang , Xia Wang , Chuanying Xi , Li Pi , Guanxiang Du , Leiming Chen , Wenbo Wang , Wei Xia , Yanfeng Guo

Spintronics, an evolving interdisciplinary field at the intersection of magnetism and electronics, explores innovative applications of electron charge and spin properties for advanced electronic devices. The topological Hall effect, a key…

The anomalous Hall, Nernst and thermal Hall coefficients of Fe$_{3-x}$GeTe$_2$ display several features upon cooling, like a reversal in the Nernst signal below $T = 50$ K pointing to a topological transition (TT) associated to the…

Topological magnetic semimetals promise large Berry curvature through the distribution of the topological Weyl nodes or nodal lines and further novel physics with exotic transport phenomena. We present a systematic study of the structural…

The ordinary Hall effect is driven by the Lorentz force, while its anomalous counterpart occurs in ferromagnets. Here we show that the Berry curvature monopole of non-magnetic 2D spin-3/2 holes leads to a novel Hall effect linear in an…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 James H. Cullen , Pankaj Bhalla , Elizabeth Marcellina , Alexander R. Hamilton , Dimitrie Culcer

The non-collinear spin configurations cause many nontrivial phenomena related to the Berry phase. They are described by the vector spin chirality $\chi_{ij} ={\bf S}_i\times{\bf S}_j$ or scalar spin chirality $\chi_{ijk}=({\bf S}_i \times…

Strongly Correlated Electrons · Physics 2021-08-31 Hiroaki Ishizuka , Naoto Nagaosa

Carrying information using generation and detection of the orbital current, instead of the spin current, is an emerging field of research, where the orbital Hall effect (OHE) is an important ingredient. Here, we propose a new mechanism of…

Materials Science · Physics 2020-04-22 Sayantika Bhowal , S. Satpathy

Topological Hall effect (THE) caused by a noncoplanar spin texture characterized by a scalar spin chirality is often described by the Berry phase, or the associated effective magnetic field. This picture is appropriate when the coupling,…

Mesoscale and Nanoscale Physics · Physics 2019-05-28 Kazuki Nakazawa , Hiroshi Kohno

Topological spin textures as an emerging class of topological matter offer a medium for information storage and processing. The recently discovered topological Hall effect (THE) is considered as a fingerprint for electrically probing…

The Chiral Magnetic Effect (CME) is the phenomenon of electric charge separation along the external magnetic field that is induced by the chirality imbalance. The CME is a macroscopic quantum effect - it is a manifestation of the chiral…

High Energy Physics - Phenomenology · Physics 2014-03-05 Dmitri E. Kharzeev