© 2002

The Quantum Hall Effect


  • Most comprehensive, up-to-date and advanced book on the quantum Hall effect

  • Includes exercises with a separate answer section, making it ideally suited as a graduate text book

  • Provides a valuable introduction for newcomers to the field With a foreword by Prof. Klaus von Klitzing


Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 133)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Daijiro Yoshioka
    Pages 1-15
  3. Daijiro Yoshioka
    Pages 17-35
  4. Daijiro Yoshioka
    Pages 37-52
  5. Daijiro Yoshioka
    Pages 53-94
  6. Daijiro Yoshioka
    Pages 95-115
  7. Daijiro Yoshioka
    Pages 117-137
  8. Daijiro Yoshioka
    Pages 139-149
  9. Daijiro Yoshioka
    Pages 151-171
  10. Daijiro Yoshioka
    Pages 173-187
  11. Back Matter
    Pages 189-210

About this book


The quantum Hall effects remains one of the most important subjects to have emerged in condensed matter physics over the past 20 years. The fractional quantum Hall effect, in particular, has opened up a new paradigm in the study of strongly correlated electrons, and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and composite particles, are realized in two-dimensional electron systems. This book explains the quantum Hall effects together with these new concepts starting from elementary quantum mechanics. Thus, graduate students can use this book to gain an overall understanding of these phenomena.


Quantum Hall effect Strong magnetic fields Strongly correlated electrons Two-dimensional electrons quantum mechanics

Authors and affiliations

  1. 1.Department of Basic ScienceUniversity of TokyoTokyoJapan

Bibliographic information

  • Book Title The Quantum Hall Effect
  • Authors Daijiro Yoshioka
  • Series Title Springer Series in Solid-State Sciences
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-43115-2
  • Softcover ISBN 978-3-642-07720-3
  • eBook ISBN 978-3-662-05016-3
  • Series ISSN 0171-1873
  • Edition Number 1
  • Number of Pages XII, 210
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original Japanese edition published by Iwanami Shoten Publishers, Tokyo, 1998
  • Topics Condensed Matter Physics
    Optical and Electronic Materials
    Quantum Physics
  • Buy this book on publisher's site
Industry Sectors
Energy, Utilities & Environment


From the reviews:

In this monograph Daijiro Yoshioka has done a marvelous job.

--The Physicist

"This book will provide a nice starting point for ideas that an experienced solid state physics educator may use for an in-depth introduction to the fundamentals of both the integral and fractional Quantum Hall effect. … this volume does provide a useful introduction to this exciting field in one rather small but excellently produced volume. Rather nicely, each chapter has a few exercises to challenge the reader." (Gary J. Long and Fernande Grandjean, Physicalia, Vol. 25 (3), 2003)

"In this monograph Daijiro Yoshioka has done a marvelous job. … he gives an excellent pedagogic description of both integral and fractional QHEs. … This book would be a good reference for a post-graduate course in Condensed Matter Physics. Those interested enough to learn the subject from scratch, are recommended to buy personal copies." (Mukunda Das, The Physicist, Vol. 39 (5), 2002)