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Quantum Phase Transitions
Second Edition
This is the first book to describe the physical properties of quantum materials near critical
points with long-range many-body quantum entanglement. Readers are introduced to the
basic theory of quantum phases, their phase transitions, and their observable properties.
This second edition begins with nine chapters, six of them new, suitable for an introduc-
tory course on quantum phase transitions, assuming no prior knowledge of quantum field
theory. There are several new chapters covering important recent advances, such as the
Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quan-
tum ism, and solvable models obtained from string theory. After introducing the
basic theory, it moves on to a detailed description of the canonical quantum-critical phase
diagram at nonzero temperatures. Finally, a variety of plex models is explored.
This book is ideal for graduate students and researchers in condensed matter physics and
particle and string theory.
Subir Sachdev is Professor of Physics at Harvard University and holds a Distinguished
Research Chair at the Perimeter Institute for Theoretical Physics. His research has focused
on a variety of quantum materials, and especially on their quantum phase transitions.
Quantum Phase Transitions
Second Edition
SUBIR SACHDEV
Harvard University
CAMBRIDGE UNIVERSITY PRESS
Cambridge, New York, Melbourne, Madrid, Cape Town,
Singapore, São Paulo, Delhi, Tokyo
Cambridge University Press
The Edinburgh Building, Cambridge CB2 8RU, UK
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521514682
∈c S. Sachdev 2011
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without
the written permission of Cambrid