Magnetic Excitations
The low-energy excitations of the magnets are important for understanding the stability of the ferromagnetism and their thermal excitations. We describe in this chapter the spin-wave excitations in both the insulator and the metallic magnets on the basis
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solid-state sciences
175
Springer Series in
solid-state sciences Series Editors: M. Cardona P. Fulde K. von Klitzing R. Merlin H.-J. Queisser H. Störmer
The Springer Series in Solid-State Sciences consists of fundamental scientific books prepared by leading researchers in the field. They strive to communicate, in a systematic and comprehensive way, the basic principles as well as new developments in theoretical and experimental solid-state physics.
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Yoshiro Kakehashi
Modern Theory of Magnetism in Metals and Alloys
Yoshiro Kakehashi Faculty of Science, Department of Physics University of the Ryukyus Nishihara, Japan Series Editors: Professor Dr., Dres. h. c. Manuel Cardona Professor Dr., Dres. h. c. Peter Fulde* Professor Dr., Dres. h. c. Klaus von Klitzing Professor Dr., Dres. h. c. Hans-Joachim Queisser Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, 70569 Stuttgart, Germany *Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38 01187 Dresden, Germany Professor Dr. Roberto Merlin Department of Physics, University of Michigan 450 Church Street, Ann Arbor, MI 48109-1040, USA Professor Dr. Horst Störmer Dept. Phys. and Dept. Appl. Physics, Columbia University, New York, NY 10027, USA and Bell Labs., Lucent Technologies, Murray Hill, NJ 07974, USA
ISSN 0171-1873 Springer Series in Solid-State Sciences ISBN 978-3-642-33400-9 ISBN 978-3-642-33401-6 (eBook) DOI 10.1007/978-3-642-33401-6 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012954262 © Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and theref
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