Maryland Subseries: Based on Lectures at the University of Maryland, College Park

The Quantum Hall Effect

Editors: Prange, Richard E., Girvin, Steven M. (Eds.)

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About this book

analyze the Hall effect in the plateau region relative to the fundamental value 2 h/e i expected in the simple one-electron picture for integer filling factors of Landau levels. Subsequent work in my laboratory in Wiirzburg using a superĀ­ conducting solenoid confirmed the constancy of the Hall resistance both in Dorda's samples and in samples supplied by M. Pepper of the Cavendish Laboratory. With technical assistance from the Physikalisch-Technische Bundesanstalt in Braunschweig, an absolute measurement of the Hall resistance confirmed the 2 fundamental quantization relation RIJ = h/ei to an accuracy of about 1 part in ]05. Recalling the practical applications of the Josephson effect, my initial thinking was oriented toward the idea of a resistance standard, but various groups at national laboratories which are involved in high precision measurements of funĀ­ damental constants pointed out that, in addition, the quantized Hall resistance yields a new fundamental measure of the fine structure constant Ci. These then were the initial events which led to the remarkable surge of interest within both the metrology and condensed matter physics communities in quantum transport in inversion layer systems. Subsequent developments have been many and varied and are described in detail in this volume.

Table of contents (10 chapters)

  • Introduction

    Prange, Richard E.

    Pages 1-35

  • Experimental Aspects and Metrological Applications

    Cage, Marvin E.

    Pages 37-68

  • Effects of Imperfections and Disorder

    Prange, Richard E.

    Pages 69-99

  • Topological Considerations

    Thouless, David J.

    Pages 101-116

  • Field Theory, Scaling and the Localization Problem

    Pruisken, Adrianus M. M.

    Pages 117-173

Buy this book

eBook $24.99
price for USA (gross)
  • ISBN 978-1-4684-0499-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
The Quantum Hall Effect
Editors
  • Richard E. Prange
  • Steven M. Girvin
Series Title
Maryland Subseries: Based on Lectures at the University of Maryland, College Park
Copyright
1987
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4684-0499-9
DOI
10.1007/978-1-4684-0499-9
Edition Number
1
Number of Pages
XVIII, 420
Topics