Springer Theses

Mesoscopic Quantum Hall Effect

Authors: Levkivskyi, Ivan

  • Important work for advancing solid state implementations of quantum algorithms
  • Cuts to the heart of our understanding of quantum interference phenomena
  • Endorsed by MIT expert as a "landmark achievement" in the field
  • Nominated as an outstanding contribution by the University of Geneva
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About this book

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.

Table of contents (9 chapters)

  • Introduction

    Levkivskyi, Ivan

    Pages 1-37

  • Equilibrium and Non-Equilibrium Bosonization

    Levkivskyi, Ivan

    Pages 41-53

  • Interaction Induced Dephasing of Edge States

    Levkivskyi, Ivan

    Pages 55-76

  • Noise Induced Dephasing of Edge States

    Levkivskyi, Ivan

    Pages 77-89

  • Energy Relaxation at the Quantum Hall Edge

    Levkivskyi, Ivan

    Pages 91-108

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-642-30499-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-642-30498-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-642-43663-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mesoscopic Quantum Hall Effect
Authors
Series Title
Springer Theses
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-30499-6
DOI
10.1007/978-3-642-30499-6
Hardcover ISBN
978-3-642-30498-9
Softcover ISBN
978-3-642-43663-5
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XIV, 198
Topics