Anomalous Hall Effect (AHE) and Spin Hall Effect (SHE)

In this chapter, we study the interesting spin-related transport phenomena that are widely observed in various \(d\) - and \(f\) -electron systems. For example, in the presence of the magnetization \(\mathbf{M}\) , charge current is induced by an electric

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Honorary Editor G. Höhler, Karlsruhe, Germany Series Editors A. Fujimori, Tokyo, Japan J. H. Kühn, Karlsruhe, Germany T. Müller, Karlsruhe, Germany F. Steiner, Ulm, Germany W. C. Stwalley, Storrs, CT, USA J. E. Trümper, Garching, Germany P. Wölfle, Karlsruhe, Germany U. Woggon, Berlin, Germany

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Springer Tracts in Modern Physics Springer Tracts in Modern Physics provides comprehensive and critical reviews of topics of current interest in physics. The following fields are emphasized: Elementary Particle Physics, Condensed Matter Physics, Light Matter Interaction, Atomic and Molecular Physics, Complex Systems, Fundamental Astrophysics. Suitable reviews of other fields can also be accepted. The Editors encourage prospective authors to correspond with them in advance of submitting a manuscript. For reviews of topics belonging to the above mentioned fields, they should address the responsible Editor as listed below. Special offer: For all clients with a print standing order we offer free access to the electronic volumes of the Series published in the current year. Elementary Particle Physics, Editors Johann H. Kühn Institut für Theoretische Teilchenphysik Karlsruhe Institut für Technologie KIT Postfach 69 80 76049 Karlsruhe, Germany Phone: +49 (7 21) 6 08 33 72 Fax: +49 (7 21) 37 07 26 Email: [email protected] www-ttp.physik.uni-karlsruhe.de/*jk

Condensed Matter Physics, Editors Atsushi Fujimori Editor for The Pacific Rim Department of Physics University of Tokyo 7-3-1 Hongo, Bunkyo-ku Tokyo 113-0033, Japan Email: [email protected] http://wyvern.phys.s.u-tokyo.ac.jp/ welcome_en.html

Thomas Müller

Peter Wölfle

Institut für Experimentelle Kernphysik Karlsruhe Institut für Technologie KIT Postfach 69 80 76049 Karlsruhe, Germany Phone: +49 (7 21) 6 08 35 24 Fax: +49 (7 21) 6 07 26 21 Email: [email protected] www-ekp.physik.uni-karlsruhe.de

Institut für Theorie der Kondensierten Materie Karlsruhe Institut für Technologie KIT Postfach 69 80 76049 Karlsruhe, Germany Phone: +49 (7 21) 6 08 35 90 Phone: +49 (7 21) 6 08 77 79 Email: [email protected] www-tkm.physik.uni-karlsruhe.de

Fundamental Astrophysics, Editor Joachim E. Trümper

Complex Systems, Editor Frank Steiner

Max-Planck-Institut für Extraterrestrische Physik Postfach 13 12 85741 Garching, Germany Phone: +49 (89) 30 00 35 59 Fax: +49 (89) 30 00 33 15 Email: [email protected] www.mpe-garching.mpg.de/index.html

Institut für Theoretische Physik Universität Ulm Albert-Einstein-Allee 11 89069 Ulm, Germany Phone: +49 (7 31) 5 02 29 10 Fax: +49 (7 31) 5 02 29 24 Email: [email protected] www.physik.uni-ulm.de/theo/qc/group.html

Solid State and Optical Physics Ulrike Woggon

Atomic, Molecular and Optical Physics William C. Stwalley

Institut für Optik und Atomare Physik Technische Universität Berlin Straße des 17. Juni 135 10623 Berlin, Germany Phone: +49 (30) 314 78921 Fax: +49 (30) 314 21079 Email: [email protected] www.ioap.tu-berlin.de

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