Skyrmions in Magnetic Materials
This brief reviews current research on magnetic skyrmions, with emphasis on formation mechanisms, observation techniques, and materials design strategies. The response of skyrmions, both static and dynamical, to various electromagnetic fields is also cove
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Shinichiro Seki Masahito Mochizuki
Skyrmions in Magnetic Materials
123
SpringerBriefs in Physics Editorial Board Egor Babaev, University of Massachusetts, USA Malcolm Bremer, University of Bristol, UK Xavier Calmet, University of Sussex, UK Francesca Di Lodovico, Queen Mary University of London, UK Maarten Hoogerland, University of Auckland, New Zealand Eric Le Ru, Victoria University of Wellington, New Zealand Hans-Joachim Lewerenz, California Institute of Technology, USA James Overduin, Towson University, USA Vesselin Petkov, Concordia University, Canada Charles H.-T. Wang, University of Aberdeen, UK Andrew Whitaker, Queen’s University Belfast, UK
More information about this series at http://www.springer.com/series/8902
Shinichiro Seki • Masahito Mochizuki
Skyrmions in Magnetic Materials
123
Shinichiro Seki Center for Emergent Matter Science (CEMS) RIKEN Wako, Japan
ISSN 2191-5423 SpringerBriefs in Physics ISBN 978-3-319-24649-9 DOI 10.1007/978-3-319-24651-2
Masahito Mochizuki Department of Physics and Mathematics Aoyama Gakuin University Sagamihara, Japan
ISSN 2191-5431 (electronic) ISBN 978-3-319-24651-2 (eBook)
Library of Congress Control Number: 2015953776 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 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. 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 therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www. springer.com)
Contents
1
Theoretical Model of Magnetic Skyrmions . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 1 1.1 What Is a Skyrmion? .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 1 1.2 Stabilisation of Magnetic Skyrmions . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 2 1.3 Model and Phase Diagrams.. . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . 4 References . . . . . . . . . . . . . . .
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