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The Quantum Hall Effect

  • Book
  • © 2002

Overview

Authors:
  1. Daijiro Yoshioka

    1. Department of Basic Science, University of Tokyo, Tokyo, Japan

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  • 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 book series: Springer Series in Solid-State Sciences (SSSOL, volume 133)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. Discovery of the Quantum Hall Effect

    • Daijiro Yoshioka
    Pages 1-15

  3. Two-Dimensional Electrons in a Magnetic Field

    • Daijiro Yoshioka
    Pages 17-35

  4. The Integer Quantum Hall Effect

    • Daijiro Yoshioka
    Pages 37-52

  5. The Fractional Quantum Hall Effect

    • Daijiro Yoshioka
    Pages 53-94

  6. Composite-Particle Mean-Field Theory

    • Daijiro Yoshioka
    Pages 95-115

  7. Spin and Pseudospin Freedom

    • Daijiro Yoshioka
    Pages 117-137

  8. Even-Denominator States

    • Daijiro Yoshioka
    Pages 139-149

  9. Electron States at the Sample Edge

    • Daijiro Yoshioka
    Pages 151-171

  10. Higher Landau Levels

    • Daijiro Yoshioka
    Pages 173-187

  11. Back Matter

    Pages 189-210
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Keywords

About this book

Today, more than 20 years after the discovery of the quantum Hall effect, the number of publications in this field, at more than one paper per day, is still increasing. This remarkable fact requires some explanation. It also poses, but perhaps also answers, the question of why a new monograph entitled 'The Quantum Hall Effect' is a highly desirable addition to the literature. Originally the quantum Hall effect (QHE) was a term coined to describe the unexpected observation of a fundamental electrical resistance, with a value independent of the microscopic details of the semiconductor device. The simplest explanation of this phenomenon was based on an independent electron picture. The subsequent discovery of the fractional quantum Hall ef­ fect demonstrated that a many-body wave function and a more global view of the system is necessary to incorporate and explain interesting new aspects. Today, the quantum Hall effect has become a pseudonym for many differ­ ent phenomena observed in high magnetic fields, with connections not only to solid state physics but also to theoretical descriptions in plasma physics, astrophysics, atomic physics, and high energy physics. There are even spec­ ulations that a higher-dimensional generalization of the QHE may be useful for discussing questions related to the basic properties of space.

Reviews

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)

Authors and Affiliations

  • Department of Basic Science, University of Tokyo, Tokyo, Japan

    Daijiro Yoshioka

Bibliographic Information

  • Book Title: The Quantum Hall Effect

  • Authors: Daijiro Yoshioka

  • Series Title: Springer Series in Solid-State Sciences

  • DOI: https://doi.org/10.1007/978-3-662-05016-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-43115-2Published: 26 February 2002

  • Softcover ISBN: 978-3-642-07720-3Published: 01 December 2010

  • eBook ISBN: 978-3-662-05016-3Published: 09 March 2013

  • Series ISSN: 0171-1873

  • Series E-ISSN: 2197-4179

  • Edition Number: 1

  • Number of Pages: XII, 210

  • Additional Information: Original Japanese edition published by Iwanami Shoten Publishers, Tokyo, 1998

  • Topics: Condensed Matter Physics, Optical and Electronic Materials, Nanotechnology, Quantum Physics

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