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Experimental and theoretical aspects of Hall-type transport of spins in magnetic insulators are reviewed, with emphasis on their spin chirality origin. A general formalism for linear response theory of thermal Hall transport in the spin…

Strongly Correlated Electrons · Physics 2016-12-22 Jung Hoon Han , Hyunyong Lee

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 chirality associated with broken time reversal symmetry in magnetically doped topological insulators has important implications to the quantum transport phenomena. Here we report the anomalous Hall effect studies in Mn- and Cr-doped…

Mesoscale and Nanoscale Physics · Physics 2022-04-28 Chang Liu , Yunyi Zang , Yan Gong , Ke He , Xucun Ma , Qi-Kun Xue , Yayu Wang

Motivated by recent transport measurements in high-$T_c$ cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the contribution from neutral spinons.…

Strongly Correlated Electrons · Physics 2019-04-24 Rhine Samajdar , Shubhayu Chatterjee , Subir Sachdev , Mathias S. Scheurer

Chiral fermionic quasiparticles emerge in certain quantum condensed matter systems such as Weyl semimetals, topological insulators, and spin-orbit coupled noncentrosymmetric metals. Here, a comprehensive theory of the chiral anomaly-induced…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

In this letter we develop the theory of Hall effect driven by non-collinear magnetic textures (topological Hall effect - THE) in diluted magnetic semiconductors (DMS). We show that a carrier spin-orbit interaction induces a chiral magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 K. S. Denisov , N. S. Averkiev

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.…

We derive a general scaling relation for the anomalous Hall effect in ferromagnetic metals involving multiple competing scattering mechanisms, described by a quadratic hypersurface in the space spanned by the partial resistivities. We also…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Dazhi Hou , Gang Su , Yuan Tian , Xiaofeng Jin , Shengyuan A. Yang , Qian Niu

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

In itinerant magnets, the indirect exchange coupling of Ruderman-Kittel-Kasuya-Yosida type is known to stabilize incommensurate spin spiral. Whereas an account of higher order spin interactions favors the formation of a noncoplanar magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 G. V. Paradezhenko , A. A. Pervishko , N. Swain , P. Sengupta , D. Yudin

The emergence of chiral anomaly entails various fascinating phenomena such as anomalous quantum Hall effect and chiral magnetic effect in different branches of (non-)Hermitian physics. While in the single-particle picture, anomalous…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Sharareh Sayyad

The coupling of electron spin to real-space magnetic textures leads to a variety of interesting magnetotransport effects. The skyrmionic spin textures often found in chiral B20-lattice magnets give rise, via real-space Berry phases, to the…

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

The topological Hall effect (THE), as one of the primary manifestations of non-trivial topology of chiral skyrmions, is traditionally used to detect the emergence of skyrmion lattices with locally ferromagnetic order. In this work we…

Materials Science · Physics 2017-05-18 Patrick M. Buhl , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Hall effects of electrons can be produced by an external magnetic field, spin orbit-coupling or a topologically non-trivial spin texture. The topological Hall effect (THE) - caused by the latter - is commonly observed in magnetic skyrmion…

Strongly Correlated Electrons · Physics 2018-08-09 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

Spin Hall effect of spin-texture origin is explored theoretically for antiferromagnetic (AF) metals. It is found that a vector chirality formed by the N\'eel vector gives rise to a topological spin Hall effect. This is topological since it…

Mesoscale and Nanoscale Physics · Physics 2024-10-02 Kazuki Nakazawa , Koujiro Hoshi , Jotaro J. Nakane , Jun-ichiro Ohe , Hiroshi Kohno

A microscopic theory of odd viscosity in two-dimensional electron systems with smooth disorder and spin-orbit interaction is developed. It is shown that spin-orbit scattering in presence of spin polarization induced by magnetic field gives…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 D. S. Zohrabyan , M. M. Glazov

The effect of carrier localization due to electron-electron interaction in anomalous Hall effect is elusive and there are contradictory results in the literature. To address the issue, we report here the detailed transport study including…

Strongly Correlated Electrons · Physics 2024-04-26 Prasanta Chowdhury , Mohamad Numan , Shuvankar Gupta , Souvik Chatterjee , Saurav Giri , Subham Majumdar

The spin Hall effect (SHE), which converts a charge current into a transverse spin current, has long been believed to be a phenomenon induced by the spin--orbit coupling. Here, we propose an alternative mechanism to realize the intrinsic…

Materials Science · Physics 2021-06-22 Yang Zhang , Jakub Zelezny , Yan Sun , Jeroen van den Brink , Binghai Yan

By revealing an underlying relation between the Dzyaloshinskii-Moriya interaction (DMI) and the scalar spin chirality, we develop the theory of magnon thermal Hall effects in antiferromagnetic systems. The dynamic fluctuation of the scalar…

Strongly Correlated Electrons · Physics 2019-02-26 Yalei Lu , Xing Guo , Vladimir Koval , Chenglong Jia