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Theory of the Integer and Fractional Quantum Hall Effects
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Authors: Shosuke Sasaki (Center for Advanced High Magnetic Field Science, Graduate School of Science, Osaka University, Machikaneyama, Toyonaka, Osaka, Japan) 
Book Description:
This book aims to describe the physics of the integer and fractional quantum Hall effects (QHE) from a theoretical side.
In the classical Hall effect, the Hall resistance is proportional to the applied magnetic field strength and varies continuously. So, the discovery of a stepwise change of the Hall resistance by von Klitzing in an ultra-thin layer of a MOSFET was a big surprise.

The QHE is a macroscopic phenomenon and shows the exact quantum structure, which is one of the most fundamental phenomena in physics.
The fractional quantum Hall effect has been explained assuming quasi-particles with fractional charges or Jain’s composite fermions, the existence of which has not been verified experimentally. The author has been developing a theory based on a standard treatment of an interacting electron system without assuming any quasi-particle.

This book will be easily understood by undergraduate students. Knowledge of quantum field theory is needed to study Chapter 9. (Imprint: Nova)



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Table of Contents:
Preface

Chapter 1 pp. 1-14. Formulation of the Problem

Chapter 2 pp. 15-24. Integer Quantum Hall Effect

Chapter 3 pp. 25-38. Coulomb Energy in the FQH States

Chapter 4 pp. 39-64. Binding Energy of Electron Pair

Chapter 5 pp. 65-144. Valle, Flat and Peak Structures in the Energy Spectrum

Chapter 6 pp. 145-152. Effect of Higher Order Perturbation and Contribution from Upper Landau Levels

Chapter 7 pp. 153-168. Plateaus of Quantum Hall Resistance

Chapter 8 pp. 169-182. Accuracy of Hall Resistance Confinement

Chapter 9 pp. 183-234. Spin Polarization in the Fractional Quantum Hall States

Chapter 10 pp. 235-238. FQHE under a Tilted Magnetic Field

Chapter 11 pp. 239-250. Further Experiments

Chapter 12 pp. 251-264. Discussions on Traditional Theories

Chapter 13 pp. 265-266. Summary

References

Appendix

Index

   Series:
      Classical and Quantum Mechanics
      Physics Research and Technology
   Binding: Hardcover
   Pub. Date: 2016 - 3rd Quarter
   Pages: 7x10 - (NBC-C)
   ISBN: 978-1-63484-938-8
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
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EP Editorial Production
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AP At Press
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Theory of the Integer and Fractional Quantum Hall Effects