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

Book Details

Format Hardback or Cased Book
ISBN-10 0198528701
ISBN-13 9780198528708
Publisher Oxford University Press
Imprint Oxford University Press
Country of Manufacture GB
Country of Publication GB
Publication Date Sep 25th, 2003
Print length 160 Pages
Weight 365 grams
Dimensions 24.20 x 16.20 x 1.40 cms
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This book presents cutting-edge topics in modern theoretical physics - quantum Hall systems - the subject of two Nobel Prizes in 1985 and 1998.
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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