Skyrmions in Condensed Matter
This book summarizes some of the most exciting theoretical developments in the topological phenomena of skyrmions in noncentrosymmetric magnetic systems over recent decades. After presenting pedagogical backgrounds to the Berry phase and homotopy theory,
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Jung Hoon Han
Skyrmions in Condensed Matter
Springer Tracts in Modern Physics Volume 278
Series editors Yan Chen, Department of Physics, Fudan University, Shanghai, China Atsushi Fujimori, Department of Physics, University of Tokyo, Tokyo, Japan Thomas Müller, Inst für Experimentelle Kernphysic, Universität Karlsruhe, Karlsruhe, Germany William C. Stwalley, Storrs, CT, USA
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 in “Contact the Editors”.
More information about this series at http://www.springer.com/series/426
Jung Hoon Han
Skyrmions in Condensed Matter
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Jung Hoon Han Department of Physics Sungkyunkwan University Suwon Korea (Republic of)
ISSN 0081-3869 ISSN 1615-0430 (electronic) Springer Tracts in Modern Physics ISBN 978-3-319-69244-9 ISBN 978-3-319-69246-3 (eBook) https://doi.org/10.1007/978-3-319-69246-3 Library of Congress Control Number: 2017955262 © Springer International Publishing AG 2017 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
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Preface
It has been two decades since David Thouless’s book, “Topological Quantum Numbers in Nonrelativistic Physics” appeared in pri
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