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It has been theoretically predicted that perturbation of the Berry curvature by electromagnetic fields gives rise to intrinsic nonlinear anomalous Hall effects that are independent of scattering. Two types of nonlinear anomalous Hall…

We report a combined theoretical and experimental investigation of magnetic proximity and Hall transport in Pt/Cr bilayers. Density functional theory indicates that an interfacial magnetization can be induced in the Pt layer and a strong…

The anomalous Hall effect in a magnetic two-dimensional electron gas with Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the presence of pointlike potential impurities. We find that all contributions to the…

Spin spirals represent a fundamental class of noncollinear yet coplanar magnetic structures that give rise to diverse emergent phenomena reflecting spin chirality. We investigate metallic systems hosting commensurate spin spirals and…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Shun Okumura , Moritz M. Hirschmann , Yukitoshi Motome

Anomalous Hall effect (AHE), a protocol of various low-power dissipation quantum phenomena and a fundamental precursor of intriguing topological phases of matter, is usually observed in ferromagnetic materials with orthogonal configuration…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Jin Cao , Wei Jiang , Xiao-Ping Li , Daifeng Tu , Jiadong Zhou , Jianhui Zhou , Yugui Yao

Investigating the scaling behavior of annealed Ga$_{1-x}$Mn$_{x}$As anomalous Hall coefficients, we note a universal crossover regime where the scaling behavior changes from quadratic to linear, attributed to the anomalous Hall Effect…

Materials Science · Physics 2015-06-25 S. H. Chun , Y. S. Kim , H. K. Choi , I. T. Jeong , W. O. Lee , K. S. Suh , Y. S. OH , K. H. Kim , Z. G. Khim , J. C. Woo , Y. D. Park

The nonlinear Hall effect is a new type of Hall effect that has recently attracted significant attention. For the physical origin of the nonlinear Hall effect, while orbital magnetization has long been hypothesized to underpin the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Zesheng Zhang , Xin-Zhi Li , Wen-Yu He

The study of electronic properties in topological systems is one of the most fascinating topics in condensed matter physics, which has generated enormous interests in recent times. New materials are frequently being proposed and…

Materials Science · Physics 2018-08-22 Ratnadwip Singha , Shubhankar Roy , Arnab Pariari , Biswarup Satpati , Prabhat Mandal

The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

The Hall effect and its varieties such as quantum, anomalous, and spin Hall effects, provide indispensable tools for the characterization of electronic and magnetic properties of materials, metrology, and spintronics. The conventional…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 G. X. Chen , R. X. Cao , A. Zholud , S. Urazhdin

The anomalous velocity term in the semiclassical model of a Bloch electron deviates the trajectory from the conventional one. When the Berry curvature (alias noncommutative parameter) is a monopole in momentum space as found recently in…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 P. A. Horvathy

Anomalous Hall effect arising from the noncoplanar spin configuration (chirality) is discussed as a probe of the chiral order in spin glasses. It is shown that the Hall coefficient yields direct information about the linear and nonlinear…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hikaru Kawamura

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

We identify an intrinsic Hall effect in multiband chiral superconductors in the absence of a magnetic field (i.e., an anomalous Hall effect). This effect arises from interband transitions involving time-reversal symmetry-breaking chiral…

Superconductivity · Physics 2015-03-19 Edward Taylor , Catherine Kallin

Recently, the semiclassical theory of the anomalous Hall effect induced by the Berry curvature in Bloch bands has been introduced. The theory operates only with gauge invariant concepts, that have a simple semiclassical interpretation and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. A. Sinitsyn

ZrTe$_5$ has been of recent interest as a potential Dirac/Weyl semimetal material. Here, we report the results of experiments performed via in-situ 3D double-axis rotation to extract the full $4\pi$ solid angular dependence of the transport…

Nonlinear Hall effect arises in materials without inversion symmetry, and the intrinsic contribution is typically from Berry curvature dipole of non-universal Fermi pockets. Here we propose that nonlinear Hall effect can reach quantization…

Strongly Correlated Electrons · Physics 2024-11-12 Nikolai Peshcherenko , Claudia Felser , Yang Zhang

Recent observation of the in-plane anomalous Hall effect in magnetic Weyl semimetal EuCd2Sb2 has drawn attention to out-of-plane orbital magnetization induced by an in-plane field component. Here we study EuZn2Sb2, a sister compound of…

A large Berry curvature in the vicinity of the Fermi energy is required in order to obtain a large anomalous Hall and Nernst effect. This Berry curvature can be induced by Weyl points and gapped nodal lines. One of the possible mechanisms…

Materials Science · Physics 2019-04-17 Jonathan Noky , Claudia Felser , Yan Sun

We report the observation of anomalous Hall effect in Mn$_3$Sn polycrystalline thin films deposited on Pt coated Al$_2$O$_3$ substrate with a large anomalous Hall conductivity of 65($\Omega$cm)$^{-1}$ at 3K. The Hall and magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 W. AfzaL , Z. Yue , Z. Li , M. Fuhrer , X. Wang