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The Quantum Hall Effect

  • Book
  • © 1987

Overview

Editors:
  1. Richard E. Prange

    1. Department of Physics and Astronomy, University of Maryland, College Park, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Steven M. Girvin

    1. Surface Science Division, National Bureau of Standards, Gaithersburg, USA

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Introduction

    1. Introduction

      • Richard E. Prange
      Pages 1-35

  3. The Integer Effect

    1. Front Matter

      Pages N1-N1
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    2. Experimental Aspects and Metrological Applications

      • Marvin E. Cage
      Pages 37-68

    3. Effects of Imperfections and Disorder

      • Richard E. Prange
      Pages 69-99

    4. Topological Considerations

      • David J. Thouless
      Pages 101-116

    5. Field Theory, Scaling and the Localization Problem

      • Adrianus M. M. Pruisken
      Pages 117-173

  4. The Fractional Effect

    1. Front Matter

      Pages N3-N3
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    2. Experimental Aspects

      • Albert M. Chang
      Pages 175-232

    3. Elementary Theory: the Incompressible Quantum Fluid

      • Robert B. Laughlin
      Pages 233-301

    4. The Hierarchy of Fractional States and Numerical Studies

      • F. Duncan, M. Haldane
      Pages 303-352

    5. Collective Excitations

      • Steven M. Girvin
      Pages 353-378

  5. The Quantum Hall Effect

    1. Front Matter

      Pages N5-N5
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    2. Summary, Omissions and Unanswered Questions

      • Steven M. Girvin
      Pages 381-399

  6. Back Matter

    Pages 401-419
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Keywords

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 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.

Editors and Affiliations

  • Department of Physics and Astronomy, University of Maryland, College Park, USA

    Richard E. Prange

  • Surface Science Division, National Bureau of Standards, Gaithersburg, USA

    Steven M. Girvin

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