Quantum Hall Systems Braid Groups, Composite Fermions, and Fractional Charge |
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| Author:
| Jacak, Lucjan
Sitko, Piotr
Wieczorek, Konrad
Wójs, Arkadiusz |
| Series title: | International Series of Monographs on Physics Ser. |
| ISBN: | 978-0-19-171347-7 |
| Publication Date: | Jan 2010 |
| Publisher: | Oxford University Press, Incorporated
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| Book Format: | Online resource |
| List Price: | USD $150.00 |
Book Description:
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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....
More DescriptionThis 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.