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The Hall Effect of Ferromagnets

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The Hall Effect and Its Applications

Abstract

The history of the development of ideas concerning the Hall effect of magnetic metals is discussed. The Hall voltage depends on the magnetization rather than on the external field. Also, it arises from electron scattering rather than from the free motion of electrons. Two mechanisms are active for this “anomalous” Hall effect: skew scattering and side jump. While the first one is similar to Mott scattering, the second one represents a finite lateral displacement Δy ≃ 10−10 m. of the electron on scattering. A corresponding displacement of the wavefronts of the scattered wave is discussed. Similar side jumps and forward jumps exist for electrons and photons in other parts of physics. The variation of the anomalous Hall effect with alloy composition in transition-metal series can be predicted on the basis of the simple “split-band” model. As an example, the case of amorphous Au-Fe, Au-Ni and Au-Co films is treated, and the predictions compared with experimental data.

Work supported in part by the U.S. National Science Foundation, Grant DMR 78-24679.

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Author information

Authors and Affiliations

  1. Physics Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania, 15213, USA

    L. Berger

  2. Institut für Festkörperforschung, Kernforschungsanlage, D-517, Jülich, West Germany

    G. Bergmann

Authors
  1. L. Berger
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  2. G. Bergmann
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Editor information

Editors and Affiliations

  1. The Johns Hopkins University, Baltimore, Maryland, USA

    C. L. Chien  & C. R. Westgate  & 

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Berger, L., Bergmann, G. (1980). The Hall Effect of Ferromagnets. In: Chien, C.L., Westgate, C.R. (eds) The Hall Effect and Its Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1367-1_2

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  • DOI: https://doi.org/10.1007/978-1-4757-1367-1_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1369-5

  • Online ISBN: 978-1-4757-1367-1

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