The Quantum Hall Effect

  • Richard E. Prange
  • Steven M. Girvin

Part of the Graduate Texts in Contemporary Physics book series (GTCP)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Introduction

    1. Richard E. Prange
      Pages 1-35
  3. The Integer Effect

    1. Front Matter
      Pages N1-N1
    2. Richard E. Prange
      Pages 69-99
    3. David J. Thouless
      Pages 101-116
    4. Adrianus M. M. Pruisken
      Pages 117-173
  4. The Fractional Effect

    1. Front Matter
      Pages N3-N3
    2. Albert M. Chang
      Pages 175-232
    3. Robert B. Laughlin
      Pages 233-301
    4. F. Duncan, M. Haldane
      Pages 303-352
    5. Steven M. Girvin
      Pages 353-378
  5. The Quantum Hall Effect

    1. Front Matter
      Pages N5-N5
    2. Steven M. Girvin
      Pages 381-399
  6. Back Matter
    Pages 401-419

About this book

Introduction

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 super­ 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 fun­ 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.

Keywords

Josephson effect Potential QHE Quantum Hall effect condensed matter condensed matter physics electron field theory geometry invariant quantization scattering semiconductor topological quantum number vortices

Editors and affiliations

  • Richard E. Prange
    • 1
  • Steven M. Girvin
    • 2
  1. 1.Department of Physics and AstronomyUniversity of MarylandCollege ParkUSA
  2. 2.Surface Science DivisionNational Bureau of StandardsGaithersburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0499-9
  • Copyright Information Springer-Verlag New York 1987
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0501-9
  • Online ISBN 978-1-4684-0499-9
  • Series Print ISSN 0938-037X
  • About this book