Quantum Hall systems : braid groups, composite fermions, and fractional charge
著者
書誌事項
Quantum Hall systems : braid groups, composite fermions, and fractional charge
（The international series of monographs on physics, no. 119）
Oxford University Press, c2003
- タイトル別名
-
Quantum hall systems
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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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