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The theory of the nonlinear Hall effect has been established by I. Sodemann and L. Fu [Phys. Rev. Lett. 115, 216806 (2015)] in a semiclassical framework: therein, the effect appears as a geometrical property of Bloch electrons, originating…

材料科学 · 物理学 2021-05-13 Raffaele Resta

The anomalous Hall effect has considerable impact on the progress of condensed matter physics and occurs in systems with time-reversal symmetry breaking. Here we theoretically investigate the anomalous Hall effect in nonmagnetic…

介观与纳米尺度物理 · 物理学 2023-07-31 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

凝聚态物理 · 物理学 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

We present a microscopic theory of the anomalous Hall effect in metallic multi-band ferromagnets, which accounts for all scattering-independent contributions, i.e., both the intrinsic and the so-called side jump. For a model of Gaussian…

介观与纳米尺度物理 · 物理学 2010-07-20 Alexey A. Kovalev , Jairo Sinova , Yaroslav Tserkovnyak

Recent successes in manufacturing of atomically thin graphite samples (graphene) have stimulated intense experimental and theoretical activity. The key feature of graphene is the massless Dirac type of low-energy electron excitations. This…

介观与纳米尺度物理 · 物理学 2008-05-23 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

We present magnetotransport studies performed on an extended set of (Ga,Mn)As samples at 4.2 K with longitudinal conductivities sigma_{xx} ranging from the low- to the high-conductivity regime. The anomalous Hall conductivity…

材料科学 · 物理学 2015-05-14 M. Glunk , J. Daeubler , W. Schoch , R. Sauer , W. Limmer

We propose a magnon-driven anomalous Hall effect in altermagnets, arising from the coupling between coherently excited chiral magnons and chiral electronic motion. Using density-matrix perturbation theory and symmetry analysis, we show that…

介观与纳米尺度物理 · 物理学 2026-03-23 Zheng Liu , Yang Gao , Qian Niu

We use a recently developed kinetic model derived from the Dirac equation, in order to study electromagnetic wave propagation in superstrong magnetic fields, such as in magnetars, where relativistic Landau quantization is prominent. The…

等离子体物理 · 物理学 2024-02-16 Gert Brodin , Haidar Al-Naseri

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…

The electric-power dissipation of the anomalous-Hall current injected into a lateral load circuit is studied. The anomalous-Hall current is generated by a $\mathrm{Co_{75}Gd_{25}}$ ferrimagnetic Hall bar and injected into lateral contacts…

介观与纳米尺度物理 · 物理学 2023-11-14 D. Lacour , M. Hehn , Min Xu , J. -E. Wegrowe

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…

介观与纳米尺度物理 · 物理学 2025-10-06 V. Desbuis , D. Lacour , M. Hehn , S. Geiskopf , L. Michez , J. Rial , V. Baltz , J. -E. Wegrowe

We review recent results on the anomalous transport in one-dimensional and quasi-one-dimensional systems with bulk and surface disorder. Main attention is paid to the role of long-range correlations in random potentials for the bulk…

无序系统与神经网络 · 物理学 2009-11-11 F. M. Izrailev , N. M. Makarov

In the study of the anomalous Hall effect, the scaling relations between the anomalous Hall and longitudinal resistivities play the central role. The scaling parameters by definition are fixed as the scaling variable (longitudinal…

介观与纳米尺度物理 · 物理学 2019-10-30 Cong Xiao , Hailong Zhou , Qian Niu

Existing investigations of the anomalous Hall effect i.e. a current flowing transverse to the electric field in the absence of an external magnetic field) are concerned with the transport current. However, for many applications one needs to…

介观与纳米尺度物理 · 物理学 2019-09-11 P. G. Silvestrov , P. Recher

The quantum anomalous Hall (QAH) effect, a condensed matter analog of the parity anomaly, is characterized by a quantized Hall conductivity in the absence of an external magnetic field. However, it has been recently shown that, even in the…

介观与纳米尺度物理 · 物理学 2020-08-13 Jan Böttcher , Christian Tutschku , Ewelina M. Hankiewicz

We calculate the anomalous Hall conductivity $\sigma_{xy}$ of the surface states {in cubic topological Kondo insulators}. We consider a generic model for the surface states with three Dirac cones on the (001) surface. The Fermi velocity,…

介观与纳米尺度物理 · 物理学 2016-07-20 E. J. König , P. M. Ostrovsky , M. Dzero , A. Levchenko

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…

介观与纳米尺度物理 · 物理学 2015-06-03 Dazhi Hou , Gang Su , Yuan Tian , Xiaofeng Jin , Shengyuan A. Yang , Qian Niu

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…

强关联电子 · 物理学 2009-10-31 Igor F. Herbut

This article reviews the main contributions to the anomalous Hall effect and its resurgence in the past three decades, which has been accompanied by the rise of topological phenomena and topological materials. I will show that the anomalous…

介观与纳米尺度物理 · 物理学 2022-09-20 Dimitrie Culcer

Magnetic impurities play an important role in many spintronics-related materials. Motivated by this fact, we study the anomalous Hall effect in the presence of magnetic impurities, focusing on two-dimensional electron systems with Rashba…

材料科学 · 物理学 2009-11-13 Tamara S. Nunner , Gergely Zarand , Felix von Oppen