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The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

We present a theory of the intrinsic anomalous Hall effect in a model of a doped Weyl semimetal, which serves here as the simplest toy model of a generic three-dimensional metallic ferromagnet with Weyl nodes in the electronic structure. We…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 A. A. Burkov

Anomalous Hall Effect (AHE) response in magnetic systems is typically proportional to an out-of-plane magnetization component because of the restriction imposed by system symmetries, which demands that the magnetization, applied electric…

Electric Hall effects generated by an in-plane magnetic field have recently gained attention owing to their intrinsic origin in topological electronic states and potential application in magnetic field sensing. In pratice, the measured…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Soumya Sankar , Xingkai Cheng , Junwei Liu , Berthold Jäck

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

The anomalous Hall effect (AHE) occurs in magnetic systems and also unexpectedly in non-magnetic materials adjacent to magnetic insulators via the heterointerface interactions. However, the AHE in heterostructures induced by magnetic…

Complex oxides are mesmerizing material systems to realize multiple physical properties and functionalities by integrating different elements in a single compound. However, owing to the chemical instability, not all the combinations of…

Materials Science · Physics 2024-03-15 L. -F. Zhang , T. C. Fujita , Y. Masutake , M. Kawamura , T. Arima , H. Kumigashira , M. Tokunaga , M. Kawasaki

An electric toroidal dipole (ETD) moment is one of the fundamental dipole moments as well as electric and magnetic ones. Although it directly couples to neither an electric nor magnetic field due to its spatial inversion and time-reversal…

Strongly Correlated Electrons · Physics 2023-04-10 Akane Inda , Satoru Hayami

To date, magnetic proximity effect (MPE) has only been conclusively observed in ferromagnet (FM) based systems. We report the observation of anomalous Hall effect and anisotropic magnetoresistance in angular dependent magnetoresistance…

Materials Science · Physics 2022-08-10 Yang Cheng , Sisheng Yu , Adam S. Ahmed , Menglin Zhu , Jinwoo Hwang , Fengyuan Yang

Altermagnets break time-reversal symmetry and their spin-orbit coupling (SOC) allow for an anomalous Hall effect (AHE) that depends on the direction of the N\'eel ordering vector. The AHE and the ferromagnetic spin moment share the same…

Strongly Correlated Electrons · Physics 2025-07-03 Mercè Roig , Yue Yu , Rune C. Ekman , Andreas Kreisel , Brian M. Andersen , Daniel F. Agterberg

The inverse Faraday effect is an opto-magnetic phenomenon that describes the ability of circularly polarized light to induce magnetism in solids. The capability of light to control magnetic order in solid state materials and devices is of…

Materials Science · Physics 2023-12-20 Víctor H. Ortiz , Shashi B. Mishra , Luat Vuong , Sinisa Coh , Richard B. Wilson

We discover an intrinsic dipole Hall effect in a variety of magnetic insulating states at integer fillings of twisted MoTe$_2$ moir\'e superlattice, including topologically trivial and nontrivial ferro-, antiferro-, and ferri-magnetic…

Strongly Correlated Electrons · Physics 2024-09-16 Feng-Ren Fan , Cong Xiao , Wang Yao

We consider the two-dimensional chiral metal, which exists at the surface of a layered, three-dimensional sample exhibiting the integer quantum Hall effect. We calculate its magnetoresistance in response to a component of magnetic field…

Mesoscale and Nanoscale Physics · Physics 2011-08-05 J. T. Chalker , S. L. Sondhi

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

We investigate the spin Hall magnetoresistance (SMR) at room temperature in thin film heterostructures of antiferromagnetic, insulating, (0001)-oriented alpha-Fe2O3 (hematite) and Pt. We measure their longitudinal and transverse…

Generally, the dissipationless Hall effect in solids requires time-reversal symmetry breaking (TRSB), where TRSB induced by external magnetic field results in ordinary Hall effect, while TRSB caused by spontaneous magnetization gives rise…

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

Topological quantum phases have been largely understood in weakly correlated systems, which have identified various quantum phenomena such as spin Hall effect, protected transport of helical fermions, and topological superconductivity.…

Response properties that are purely intrinsic to physical systems are of paramount importance in physics research, as they probe fundamental properties of band structures and allow quantitative calculation and comparison with experiment.…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Weikang Wu , Xian-Lei Sheng , Cong Xiao , Shengyuan A. Yang

Recently, a new magnetic phase, termed altermagnetism, has caught the attention of the magnetism and spintronics community. This newly discovered magnetic phenomenon differs from traditional ferromagnetism and antiferromagnetic. It…

Strongly Correlated Electrons · Physics 2024-12-10 R. Tamang , Shivraj Gurung , D. P. Rai , Samy Brahimi , Samir Lounis
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