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A comparative study of anomalous-Hall current injection and anisotropic current injection (through planar Hall effect) are studied in Hall devices contacted to a lateral load circuit. Hall currents are injected into the load circuit from…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 V. Desbuis , D. Lacour , M. Hehn , S. Geiskopf , L. Michez , J. Rial , V. Baltz , J. -E. Wegrowe

The Hall effect, in which current flows perpendicular to an applied electrical bias, has played a prominent role in modern condensed matter physics over much of the subject's history. Appearing variously in classical, relativistic and…

Materials Science · Physics 2021-07-08 Libor Smejkal , Allan H. MacDonald , Jairo Sinova , Satoru Nakatsuji , Tomas Jungwirth

We propose and theoretically study minimal models of N\'{e}el ordered collinear (compensated) antiferromagnets that show the anomalous Hall effect. For simplicity, we first consider two-dimensional models of antiferromagnets with two…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Vladimir P. Golubinskii , Vladimir A. Zyuzin

Realizing odd-parity, time-reversal-preserving, non-relativistic spin splitting is a central goal for spintronics applications. We propose a group-theory-based microscopic framework to induce odd-parity spin splitting from coplanar…

The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

Noncollinear antiferromagnets can generate a transverse electrical response known as the anomalous Hall effect, even though they possess almost no net magnetization. The microscopic origin of this behaviour, however, has remained unclear…

In most conductors current flow perpendicular to electric field direction (Hall current) can be explained in terms of the Lorentz forces present when charged particles flow in an external magnetic field. However, as established in the very…

Materials Science · Physics 2014-01-14 Hua Chen , Qian Niu , A. H. MacDonald

The anomalous Hall effect in two-dimensional ferromagnets is discussed to be the physical realization of the parity anomaly in (2+1)D, and the band crossing points behave as the topological singularity in the Brillouin zone. This appears as…

Strongly Correlated Electrons · Physics 2009-11-07 Masaru Onoda , Naoto Nagaosa

The coupling between ferroelectrics and magnetism presents a promising avenue for low-dissipation spintronic devices. However, such couplings remain rare, and the direct realization of magnetic order driven by ferroelectric switching in…

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

The planar Hall effect (PHE) is typically symmetric under magnetic field reversal, as required by the Onsager reciprocity relations. Recent advances have identified the antisymmetric PHE (under magnetic field reversal) as an intriguing…

Materials Science · Physics 2025-11-27 W. J. Qin , B. Yang , Y. Z. Tian , B. W. Zheng , K. Y. Wang , B. Y. Huang , Y. B. Yang , W. Q. Zou , D. Wu , P. Wang

The anomalous Hall effect, commonly observed in metallic magnets, has been established to originate from the time-reversal symmetry breaking by an internal macroscopic magnetization in ferromagnets or by a non-collinear magnetic order. Here…

A new type of anomalous Hall effect is shown to arise from the interaction of conduction electrons with dipolar spin waves in ferromagnets. This effect exists even in homogeneous ferromagnets without relativistic spin-orbit coupling. The…

Materials Science · Physics 2015-10-14 Kei Yamamoto , Koji Sato , Eiji Saitoh , Hiroshi Kohno

We study an asymmetric in field magnetoresistance that is frequently observed in magnetic films and, in particular, the odd longitudinal voltage peaks that appear during magnetization reversal in ferromagnetic films, with out-of-plane…

Strongly Correlated Electrons · Physics 2015-05-13 A. Segal , O. Shaya , M. Karpovski , A. Gerber

Screening of an external random potential by a two dimensional (2D) Fermi liquid may be strongly dependent on the degree of its polarization. This is considered as a possible mechanism for the observed strong magnetoresistance of the 2D…

Strongly Correlated Electrons · Physics 2009-10-31 Igor F. Herbut

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Steven S. -L. Zhang , Giovanni Vignale

Frustrated rare-earth-based intermetallics provide a promising platform for emergent magnetotransport properties through exchange coupling between conduction electrons and localized rare-earth magnetic moments. Metamagnetism, the abrupt…

Strongly Correlated Electrons · Physics 2024-05-29 Takashi Kurumaji , Shiang Fang , Linda Ye , Shunsuke Kitou , Joseph G. Checkelsky

In two-dimensional materials where interacting Fermi pockets occur in valleys related by time-reversal symmetry, a spontaneous valley imbalance results in a novel state known as an orbital magnet. Due to the breaking of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Fernando Peñaranda , Fernando de Juan

The anomalous Hall effect has been indispensable in our understanding of numerous magnetic phenomena. This concerns both ferromagnetic materials, as well as diverse classes of antiferromagnets, where in addition to the anomalous and crystal…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 J. Kipp , K. Samanta , F. R. Lux , M. Merte , J. -P. Hanke , M. Redies , F. Freimuth , S. Blügel , M. Ležaić , Y. Mokrousov

The magnetoresistance (MR) of a material is typically insensitive to reversing the applied field direction and varies quadratically with magnetic field in the low-field limit. Quantum effects [1], unusual topological band structures [2],…