Dirac Matter
This fifteenth volume of the Poincare Seminar Series, Dirac Matter, describes the surprising resurgence, as a low-energy effective theory of conducting electrons in many condensed matter systems, including graphene and topological insu
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Bertrand Duplantier Vincent Rivasseau Jean-Nöel Fuchs Editors
Dirac Matter
Progress in Mathematical Physics Volume 71
Editors-in-chief Anne Boutet de Monvel, Université de Paris VII UFR de Mathematiques, Paris CX 05, France Gerald Kaiser, Center for Signals and Waves, Portland, Oregon, USA Editorial Board Sir M. Berry, University of Bristol, UK P. Blanchard, University of Bielefeld, Germany M. Eastwood, University of Adelaide, Australia A.S. Fokas, University of Cambridge, UK F.W. Hehl, University of Cologne, Germany and University of Missouri-Columbia, USA D. Sternheimer, Université de Bourgogne, Dijon, France C. Tracy, University of California, Davis, USA
More information about this series at http://www.springer.com/series/4813
Bertrand Duplantier • Vincent Rivasseau Jean-Nöel Fuchs Editors
Dirac Matter
Editors Bertrand Duplantier Service de Physique Théorique CEA Saclay Gif Sur Yvette Cedex, France
Vincent Rivasseau Laboratoire de Physique Théorique Université Paris-Sud Orsay, France
Jean-Nöel Fuchs Laboratoire de Physique Université Pierre-et-Marie Curie Paris, France
ISSN 1544-9998 ISSN 2197-1846 (electronic) Progress in Mathematical Physics ISBN 978-3-319-32535-4 ISBN 978-3-319-32536-1 (eBook) DOI 10.1007/978-3-319-32536-1 Library of Congress Control Number: 2016963686
Mathematics Subject Classification (2010): 82-01, 82-02, 81V70, 35Q41 © Springer International Publishing Switzerland 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 book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Contents Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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