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A prominent feature of topological insulators (TIs) is the surface states comprising of spin-nondegenerate massless Dirac fermions. Recent technical advances have made it possible to address the surface transport properties of TI thin films…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 A. A. Taskin , Henry F. Legg , Fan Yang , Satoshi Sasaki , Yasushi Kanai , Kazuhiko Matsumoto , Achim Rosch , Yoichi Ando

The planar Hall effect (PHE), wherein a rotating magnetic field in the plane of a sample induces oscillating transverse voltage, has recently garnered attention in a wide range of topological metals and insulators. The observed twofold…

Mesoscale and Nanoscale Physics · Physics 2021-03-25 D. Huang , H. Nakamura , H. Takagi

Much excitement has been generated recently by the experimental observation of the chiral anomaly in condensed matter physics. This manifests as strong negative longitudinal magnetoresistance and has so far been clearly observed in…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 A. A. Burkov

Magnetic materials hosting topological spin textures like magnetic skyrmion exhibit nontrivial Hall effect, namely, topological Hall effect (THE). In this study, we demonstrate the emergence of THE in thin films of half-metallic perovskite…

Strongly Correlated Electrons · Physics 2018-07-03 M. Nakamura , D. Morikawa , X. Z. Yu , F. Kagawa , T. Arima , Y. Tokura , M. Kawasaki

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

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…

A topological insulator (TI) interfaced with a magnetic insulator (MI) may host an anomalous Hall effect (AHE), a quantum AHE, and a topological Hall effect (THE). Recent studies, however, suggest that coexisting magnetic phases in TI/MI…

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

When a magnon passes through two-dimensional magnetic textures, it will experience a fictitious magnetic field originating from the $3\times 3$ skew-symmetric gauge fields. To date, only one of the three independent components of the gauge…

Mesoscale and Nanoscale Physics · Physics 2023-01-10 Zhejunyu Jin , Xianglong Yao , Zhenyu Wang , H. Y. Yuan , Zhaozhuo Zeng , Yunshan Cao , Peng Yan

The phenomenological theory for "topological" Hall effect (THE) is proposed. The theory can be used for qualitative analysis of THE in the medium with arbitrary magnetization distribution. In the paper the cylindrical particle with "vortex"…

Mesoscale and Nanoscale Physics · Physics 2009-07-13 O. G. Udalov , A. A. Fraerman

The anomalous Hall effect is caused by magnetic textures such as skyrmions. We derive an analytical formula of the Hall conductivity on the surface of a topological insulator up to third order in magnetization,…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 Terufumi Yamaguchi , Ai Yamakage

In an intriguing recent experiment, it has been found that the two-dimensional (2D) surface states of a three-dimensional (3D) strong topological insulator (TI) support a non-zero Hall voltage transverse to an applied electric field even…

Mesoscale and Nanoscale Physics · Physics 2023-11-28 D. C. Marinescu , Sumanta Tewari

The hallmark of a skyrmion crystal (SkX) is the topological Hall effect (THE). In this Article, we predict and explain an unconventional behavior of the topological Hall conductivity in SkXs. In simple terms, the spin texture of the…

Strongly Correlated Electrons · Physics 2017-03-14 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

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

We investigate the skyrmion formation process in nano-structured FeGe Hall-bar devices by measurements of topological Hall effect, which extracts the winding number of a spin texture as an emergent magnetic field. Step-wise profiles of…

Strongly Correlated Electrons · Physics 2015-06-23 N. Kanazawa , M. Kubota , A. Tsukazaki , Y. Kozuka , K. S. Takahashi , M. Kawasaki , M. Ichikawa , F. Kagawa , Y. Tokura

The topological Hall effect (THE), given by a composite of electric and topologically non-trivial spin texture is commonly observed in magnetic skyrmion crystals. Here we present a study of the THE of electrons coupled to antiferromagnetic…

Strongly Correlated Electrons · Physics 2021-02-03 M. Tomé , H. D. Rosales

We introduce a topologically distinct skyrmion, termed a spin-flux skyrmion, which shares the same real-space magnetization profile as a conventional skyrmion but differs fundamentally in its underlying topological structure. This…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Sandip Bera , Sajeev John

Weyl semimetals are intriguing topological states of matter that support various anomalous magneto-transport phenomena. One such phenomenon is a negative longitudinal ($\mathbf{\nabla} T \parallel \mathbf{B}$) magneto-thermal resistivity,…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 S. Nandy , A. Taraphder , Sumanta Tewari

Planar Hall effect (PHE) in topological insulators (TIs) is discussed as an effect that stems mostly from conduction due to topologically protected surface states. Although surfaces states play a critical role and are of utmost importance…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Archit Bhardwaj , Syam Prasad P. , Karthik Raman , Dhavala Suri

The topological Hall effect, driven by the exchange interaction between conduction electrons and topological magnetic textures such as skyrmions, is a powerful probe for investigating the topological properties of magnetic materials.…

Materials Science · Physics 2026-03-31 Hyuncheol Kim , Kai-Xuan Zhang , Yu-Hang Li , Giung Park , Ran Cheng , Je-Geun Park