Mesoscopic Quantum Hall Effect

  • Ivan Levkivskyi
Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Ivan Levkivskyi
    Pages 1-37
  3. Integer Quantum Hall Effect

    1. Front Matter
      Pages 39-39
    2. Ivan Levkivskyi
      Pages 41-53
    3. Ivan Levkivskyi
      Pages 55-76
    4. Ivan Levkivskyi
      Pages 77-89
    5. Ivan Levkivskyi
      Pages 91-108
  4. Fractional Quantum Hall Effect

    1. Front Matter
      Pages 109-109
    2. Ivan Levkivskyi
      Pages 111-125
    3. Ivan Levkivskyi
      Pages 177-179
  5. Back Matter
    Pages 181-196

About this book

Introduction

In recent years, remarkable progress in the fabrication of novel mesoscopic devices has produced a revival of interest in quantum Hall physics.  New types of measurements, more precise and efficient than ever, have made it possible to focus closely on the electronic properties of quantum Hall edge states. This is achieved by applying charge and heat currents at mesoscopic length scales, attaching metallic gates and Ohmic contacts, and splitting edge channels with the help of quantum point contacts. The experiments reveal fascinating new phenomena, such as the interference, statistics, and topological phase shifts of fractionally charged quasi-particles, strong interaction and correlation effects, and phase transitions induced by non-Gaussian fluctuations. The thesis discusses some puzzling results of these experiments and presents a coherent picture of mesoscopic effects in quantum Hall systems, which accounts for integer and fractional filling factors and ranges from microscopic theory to effective models, and covers both equilibrium and non-equilibrium phenomena.

Keywords

Aharonov-Bohm Effect Anyonic Statistics Bosonization Approach Chern-Simons Theory Dephasing Length Edge States Energy Relaxation Fractional Charge Full Counting Statistics Laughlin Wave Function Luttinger Liquid Mesoscopic Physics Quantum Hall Effect Quantum Hall Interferometer

Authors and affiliations

  • Ivan Levkivskyi
    • 1
  1. 1., Department of Theoretical PhysicsUniversity of GenevaGenevaSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-30499-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-30498-9
  • Online ISBN 978-3-642-30499-6
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book