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Quantum Hall Systems: Braid Groups, Composite Fermions, and Fractional Charge

Posted on 2010-03-16




Name:Quantum Hall Systems: Braid Groups, Composite Fermions, and Fractional Charge
ASIN/ISBN:0198528701
Language:English
File size:10.1 Mb
Publish Date: 2003
ISBN: 0198528701
Pages: 160 pages
File Type: PDF
File Size: 10,1 MB
Other Info: Oxford University Press, USA
   Quantum Hall Systems: Braid Groups, Composite Fermions, and Fractional Charge

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Lucjan Jacak, Piotr Sitko, Konrad Wieczorek, Arkadiusz Wójs, ""

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 fernions, 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 hierarchy of condensed states, the BCS paired Hall state, and multi-component quantum Hall systems and spin quantum Hall systems.

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