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The intrinsic anomalous Hall effect in ferromagnets depends on subtle spin-orbit-induced effects in the electronic structure, and recent ab-initio studies found that it was necessary to sample the Brillouin zone at millions of k-points to…

材料科学 · 物理学 2009-12-17 Xinjie Wang , Jonathan R. Yates , Ivo Souza , David Vanderbilt

Berry curvatures are computed for a set of Heusler compounds using density functional (DF) calculations and the wave functions that DF provide. The anomalous Hall conductivity is obtained from the Berry curvatures. It is compared with…

材料科学 · 物理学 2013-05-30 Jurgen Kubler , Claudia Felser

In this study, we implemented a finite-difference algorithm for computing anomalous Hall and Nernst conductivity. Based on the expression to evaluate the Berry curvature in an insulating system [J. Phys. Soc. Jpn. 74 1674(2005)], we…

材料科学 · 物理学 2023-01-10 Hikaru Sawahata , Naoya Yamaguchi , Susumu Minami , Fumiyuki Ishii

The anomalous Hall conductivity of "dirty" ferromagnetic metals is dominated by a Berry-phase contribution which is usually interpreted as an intrinsic property of the Bloch electrons in the pristine crystal. In this work we evaluate the…

材料科学 · 物理学 2015-12-25 Raffaello Bianco , Raffaele Resta , Ivo Souza

We investigate topological features of electronic structures which produce large anomalous Hall effect in the non-collinear antiferromagnetic metallic states of anti-perovskite manganese nitrides by first-principles calculations. We first…

材料科学 · 物理学 2019-09-25 Vu Thi Ngoc Huyen , Michi-To Suzuki , Kunihiko Yamauchi , Tamio Oguchi

A static electric field generates circulating currents at the surfaces of a magnetoelectric insulator. The anomalous Hall part of the surface conductivity tensor describing such bound currents can change by multiples of $e^2/h$ depending on…

介观与纳米尺度物理 · 物理学 2018-09-07 Tomáš Rauch , Thomas Olsen , David Vanderbilt , Ivo Souza

We perform a first principles calculation of the anomalous Hall effect in ferromagnetic bcc Fe. Our theory identifies an intrinsic contribution to the anomalous Hall conductivity and relates it to the k-space Berry phase of occupied Bloch…

介观与纳米尺度物理 · 物理学 2007-05-23 Yugui Yao , L. Kleinman , A. H. MacDonald , Jairo Sinova , T. Jungwirth , Ding-sheng Wang , Enge Wang , Qian Niu

We discuss the mechanism of anomalous Hall effect related to the contribution of electron states below the Fermi surface (induced by the Berry phase in momentum space). Our main calculations are made within a model of two-dimensional…

材料科学 · 物理学 2009-11-11 V. K. Dugaev , P. Bruno , M. Taillefumier , B. Canals , C. Lacroix

The intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a ``bulk'' Fermi sea…

介观与纳米尺度物理 · 物理学 2009-11-10 F. D. M. Haldane

The derivatives of the Berry curvature $\Omega$ and intrinsic orbital magnetic moment m in momentum space are relevant to various problems, including the nonlinear anomalous Hall effect and magneto-transport within the Boltzmann-equation…

材料科学 · 物理学 2023-03-22 Xiaoxiong Liu , Stepan S. Tsirkin , Ivo Souza

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

介观与纳米尺度物理 · 物理学 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

In typical rare-earth lanthanide compounds, the localized 4\textit{f}-electrons have a weak effect on the electrical conduction, limiting their influence on the Berry curvature and, hence, the intrinsic anomalous Hall effect. A…

We present a theory of the anomalous Hall effect in ferromagnetic (Mn,III)V semiconductors. Our theory relates the anomalous Hall conductance of a homogeneous ferromagnet to the Berry phase acquired by a quasiparticle wavefunction upon…

介观与纳米尺度物理 · 物理学 2009-11-07 T. Jungwirth , Qian Niu , A. H. MacDonald

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

无序系统与神经网络 · 物理学 2009-11-11 P. Woelfle , K. A. Muttalib

We have shown that the study of topological aspects of the underlying geometry in a ferromagnetic spin system gives rise to an intrinsic Berry phase. This real space Berry phase arises due to the spin rotations of conducting electrons which…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Basu , P. Bandyopadhyay

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

材料科学 · 物理学 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the real-space Berry curvature in the presence of…

介观与纳米尺度物理 · 物理学 2022-03-16 Nishchhal Verma , Zachariah Addison , Mohit Randeria

The amorphous iron-germanium system ($a$-Fe$_x$Ge$_{1-x}$) lacks long-range structural order and hence lacks a meaningful Brillouin zone. The magnetization of \aFeGe is well explained by the Stoner model for Fe concentrations $x$ above the…

介观与纳米尺度物理 · 物理学 2020-01-08 D. S. Bouma , Z. Chen , B. Zhang , F. Bruni , M. E. Flatté , R. Streubel , L. -W. Wang , R. Q. Wu , F. Hellman

Wannier interpolation is a powerful tool for performing Brillouin zone integrals over dense grids of $\mathbf{k}$ points, which are essential to evaluate such quantities as the intrinsic anomalous Hall conductivity or Boltzmann transport…

材料科学 · 物理学 2021-02-22 Stepan S. Tsirkin

We have investigated magnetotransport properties and the topological electronic structure of the half-Heusler compound TbPtBi. Our experiments reveal an exceptionally large anomalous Hall effect (AHE) in the canted antiferromagnetic state…

介观与纳米尺度物理 · 物理学 2020-05-28 Yanglin Zhu , Bahadur Singh , Yu Wang , Cheng-Yi Huang , Wei-Chi Chiu , Baokai Wang , David Graf , Yubo Zhang , Hsin Lin , Jianwei Sun , Arun Bansil , Zhiqiang Mao
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