Quantum Hall systems : braid groups, composite fermions, and fractional charge

Lucjan Jacak ... [et al.]

This book presents the wide range of topics in two-dimensional physics of quantum Hall systems, especially fractional quantum Hall states. It covers the fundamental problems of two-dimensional quantum statistics in terms of topology and the corresponding braid group formalism for composite fermions, and the main formalism used in many-body quantum Hall theories, the Chern-Simons theory. Numerical studies are introduced for spherical systems and the composite fermion theory is tested. The book introduces the concept of the heirarchy of condensed states, the BCS paired Hall state, and multi-component quantum Hall systems and spin quantum Hall systems.

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  • 1. Introduction
  • 2. Topological methods for description of quantum many-body systems
  • 3. Quantization of many-particle systems and quantum statistics in lower dimensions
  • 4. Topological approach to composite particles in two dimensions
  • 5. Many-body methods for Chern-Simons systems
  • 6. Anyon superconductivity
  • 7. The fractional quantum Hall effect in composite fermion systems
  • 8. Quantum Hall systems on a sphere
  • 9. Pseudopotential approach to the fractional quantum Hall states

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書名 Quantum Hall systems : braid groups, composite fermions, and fractional charge
著作者等 Jacak, Lucjan
Wieczorek Konrad
Wojs Arkadiusz (all of the Institute of Physics Wroclaw University of Technology Poland)
Wojs Arkadiusz
Sitko Piotr
書名別名 Quantum hall systems
シリーズ名 The international series of monographs on physics
出版元 Oxford University Press
刊行年月 c2003
ページ数 xi, 145 p
大きさ 24 cm
ISBN 0198528701
NCID BA65654196
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言語 英語
出版国 アメリカ合衆国