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

Hardcover | September 25, 2003

byLucjan Jacak, Piotr Sitko, Konrad Wieczorek

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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 compositefermions, 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, andmulti-component quantum Hall systems and spin quantum Hall systems.

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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 compositefermions, and the main formalism used in many-b...

Lucjan Jacak is a professor at the Institute of Physics, Wroclaw University of Technology. He was Director of the Institute of Physics in 1991-1996 and Pro-Rector of Wroclaw University of Technology during 1996-1999. He has received various awards for his work. Piotr Sitko is an associate professor at the Institute of Physics, Wroclaw...

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Format:HardcoverDimensions:158 pages, 9.21 × 6.14 × 0.53 inPublished:September 25, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198528701

ISBN - 13:9780198528708

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Table of Contents

1. Introduction2. Topological methods for description of quantum many-body systems3. Quantization of many-particle systems and quantum statistics in lower dimensions4. Topological approach to composite particles in two dimensions5. Many-body methods for Chern-Simons systems6. Anyon superconductivity7. The fractional quantum Hall effect in composite fermion systems8. Quantum Hall systems on a sphere9. Pseudopotential approach to the fractional quantum Hall states