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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

The surface quantum Hall state, magneto-electric phenomena and their connection to axion electrodynamics have been studied intensively for topological insulators. One of the obstacles for observing such effects comes from nonzero…

介观与纳米尺度物理 · 物理学 2015-03-17 G. Tkachov , E. M. Hankiewicz

While the intrinsic anomalous Hall conductivity is normally written in terms of an integral of the electronic Berry curvature over the occupied portions of the Brillouin zone, Haldane has recently pointed out that this quantity (or more…

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

The anomalous Hall effect (AHE) is studied on the surface of a 3D magnetic topological insulator. By applying a modified semi-classical framework, all three contributions to the AHE, the intrinsic Berry phase curvature effect, the side-jump…

介观与纳米尺度物理 · 物理学 2019-07-24 Amir Sabzalipour , Bart Partoens

Can a generic magnetic insulator exhibit a Hall current? The quantum anomalous Hall effect (QAHE) is one example of an insulating bulk carrying a quantized Hall conductivity and other insulators (with zero Chern number) present zero Hall…

介观与纳米尺度物理 · 物理学 2023-06-06 Daniel Kaplan , Tobias Holder , Binghai Yan

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

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

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

We consider the ground state of an electron gas embedded in a quantum gyrotropic cavity. We show that the light-matter interaction leads to a nontrivial topology of the many-body electron-photon wave function characterized by a nonzero…

介观与纳米尺度物理 · 物理学 2021-09-01 Ilya Tokatly , Dmitry Gulevich , Ivan Iorsh

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

The anomalous Hall effect is caused by magnetic textures such as skyrmions. We derive an analytical formula of the Hall conductivity on the surface of a topological insulator up to third order in magnetization,…

介观与纳米尺度物理 · 物理学 2021-04-30 Terufumi Yamaguchi , Ai Yamakage

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

Since the discovery of the anomalous Hall effect (AHE), the anomalous Hall conductivity (AHC) has been thought to be zero when there is no net magnetization. However, the recently found relation between the intrinsic AHE and the Berry…

We develop a theory for the electrical and thermal transverse linear response functions such as the Hall, Nernst and thermal Hall effects in magnetic materials that harbor topological spin textures like skyrmions. In addition to the…

介观与纳米尺度物理 · 物理学 2025-08-05 Zachariah Addison , Lauren Keyes , Mohit Randeria

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

We argue that the static non-linear Hall conductivity can always be represented as a vector in two-dimensions and as a pseudo-tensor in three-dimensions independent of its microscopic origin. In a single band model with a constant…

介观与纳米尺度物理 · 物理学 2019-12-05 Snehasish Nandy , Inti Sodemann

The anomalous Hall effect due to the surface conduction band of 3D topological insulators with an out-of-plane magnetization is \textit{always} dominated by an intrinsic topological term of the order of the conductivity quantum. We…

介观与纳米尺度物理 · 物理学 2011-06-30 Dimitrie Culcer , S. Das Sarma

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

介观与纳米尺度物理 · 物理学 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We study transport properties of a topological insulator nanowire when a magnetic field is applied along its length. We predict that with strong surface disorder, a characteristic signature of the band topology is revealed in Aharonov Bohm…

介观与纳米尺度物理 · 物理学 2011-06-15 Yi Zhang , Ashvin Vishwanath

The anomalous Hall effect is investigated experimentally and theoretically for ferromagnetic thin films of Mn$_5$Ge$_3$. We have separated the intrinsic and extrinsic contributions to the experimental anomalous Hall effect, and calculated…

介观与纳米尺度物理 · 物理学 2007-05-23 Changgan Zeng , Yugui Yao , Qian Niu , Hanno H. Weitering
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