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Motivated by recent experiments on the observation of room temperature skyrmions in a layered heterostructure and subsequent demonstration of topological Hall effect in the same system, we have studied a minimal model of itinerant electrons…

Strongly Correlated Electrons · Physics 2020-05-27 Nyayabanta Swain , Munir Shahzad , Pinaki Sengupta

We investigate the emergence of quantum anomalous Hall conductivity in a two-dimensional $d$-wave altermagnet on a Lieb lattice under an external magnetic field. Altermagnetic order induces momentum-dependent spin splitting without net…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Meysam Bagheri Tagani , Amar Fakhredine , Carmine Autieri

In metallic systems with spin-orbit coupling a longitudinal charge current may generate a transverse pure spin current; vice-versa an injected pure spin current may result in a transverse charge current. Such direct and inverse spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Cosimo Gorini

The Hall effect in SrRuO$_3$ thin-films near the thickness limit for ferromagnetism shows an extra peak in addition to the ordinary and anomalous Hall effects. This extra peak has been attributed to a topological Hall effect due to…

Strongly Correlated Electrons · Physics 2020-05-20 Graham Kimbell , Paul M. Sass , Bart Woltjes , Eun Kyo Ko , Tae Won Noh , Weida Wu , Jason W. A. Robinson

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

We study the anomalous Hall effect in a disordered Weyl semimetal. While the intrinsic contribution is expressed solely in terms of Berry curvature, the extrinsic contribution is given by a combination of the skew scattering and side jump…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Yonatan Messica , Dmitri. B. Gutman , Pavel M. Ostrovsky

The transverse current (j_H) due to anomalous Hall effect (AHE) is usually assumed to be perpendicular to the magnetization (m) in ferromagnetic materials, which governs the experiments in spintronics. Generally, this assumption is derived…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 Lulu Li , Junwen Sun , Lei Wang , X. R. Wang , Ke Xia

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

Motivated by recent experiments on rhombohedral stacked multilayer graphene and the observation of the anomalous Hall effect in a spontaneous spin-valley polarized quarter metal state, we calculate the anomalous Hall conductivity for this…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Vera Mikheeva , Daniele Guerci , Daniel Kaplan , Elio J. König

By using the gauge-invariant optical Bloch equation, we perform a microscopic kinetic investigation on the anomalous Hall effect in chiral p-wave superconducting states. Specifically, the intrinsic anomalous Hall conductivity in the absence…

Superconductivity · Physics 2018-05-16 F. Yamg , T. Yu , M. W. Wu

The in-plane anomalous Hall effect (IPAHE) with planar Hall current and magnetization/magnetic fields in various quantum materials has received increasing attention. Most of the current efforts are devoted to the intrinsic part due to the…

Mesoscale and Nanoscale Physics · Physics 2026-03-24 Guoao Yang , Tao Qin , Jianhui Zhou

The anomalous Hall effect (AHE) is an efficient tool for detecting the N\'eel vector in collinear compensated magnets with spin-split bands, known as altermagnets (AMs). Here, we establish design principles for obtaining non-zero anomalous…

Materials Science · Physics 2025-05-13 Sajjan Sheoran , Pratibha Dev

It is well established that the anomalous Hall effect that a ferromagnet displays scales with its magnetization. Therefore, an antiferromagnet that has no net magnetization should exhibit no anomalous Hall effect. Here we show that the…

We discuss in details the electron scattering pattern on skyrmion-like magnetic textures in two-dimensional geometry. The special attention is focused on analyzing the scattering asymmetry, which is a precursor of the topological Hall…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 K. S. Denisov

The spin Hall effect does not generally result in a charge Hall voltage. We predict that in systems with inhomogeneous electron density in the direction perpendicular to main current flow, the spin Hall effect is instead accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2008-03-23 Yu. V. Pershin , M. Di Ventra

Non-collinear triangular antiferromagnets with a coplanar spin arrangement and vanishing net magnetic moment can exhibit a large anomalous Hall effect owing to their non-vanishing momentum space Berry curvature. Here we show the existence…

Strongly Correlated Electrons · Physics 2019-05-15 Pradeep K. Rout , P. V. Prakash Madduri , Subhendu K. Manna , Ajaya K. Nayak

We measure magnetic field dependence of the Hall angle in a metallic ferromagnetic nanomagnet with stable local magnetic moments where the adopted mechanisms of Hall effect predict linear plus a constant dependence on the external field…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Vadym Zayets , Andrey S. Mishchenko

Altermagnets have recently emerged as a new class of magnetic materials sharing properties of both antiferromagnets and ferromagnets. Despite very small net magnetization, they show phenomena usually associated with ferromagnetism, such as…

Materials Science · Physics 2025-06-03 Maxim Mostovoy

Exciton Valley Hall effect is the spatial separation of the valley-tagged excitons in the presence of a drag force. Usually, the effect is associated with the anomalous velocity acquired by the particles due to the Berry curvature of the…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 M. M. Glazov , L. E. Golub

Itinerant ferromagnets constitute an important class of materials wherein spin-polarization can affect the electric transport properties in nontrivial ways. One such phenomenon is anomalous Hall effect which depends on the details of the…