Composite Fermions

When electrons are confined to two dimensions, cooled to near absolute zero temperature, and subjected to a strong magnetic field, they form an exotic new collective state of matter. Investigations into this began with the observations of integral and fractional quantum Hall effects, which are among the most important discoveries in condensed matter physics. The fractional quantum Hall effect and a stream of other unexpected findings are explained by a new class of particles: composite fermions. This textbook is a self-contained, pedagogical introduction to the physics and experimental manifestations of composite fermions. Ideal for graduate students and academic researchers, it contains numerous exercises to reinforce the concepts presented. The topics covered include the integral and fractional quantum Hall effects, the composite-fermion Fermi sea, various kinds of excitations, the role of spin, edge state transport, electron solid, bilayer physics, fractional braiding statistics and fractional local charge.

Spis treści:
1. Overview
2. Quantum Hall effect
3. Landau levels
4. Theory of IQHE
5. Foundations of the Composite Fermion Theory
6. Microscopic variations
7. Theory of FQHE
8. Incompressible groundstates and their excitations
9. Topology and quantizations
10. Composite-fermion Fermi sea
11. Composite fermions with spin
12. Non-composite fermion approaches
13. Bilayer FQHE
14. Edge
15. Composite-fermion crystals
Appendix 1. Symbols and acronyms
Appendix 2. Gaussian integral
Appendix 3. Useful operator identities
Appendix 4. Point flux tube
Appendix 5. Adiabatic insertion of a point flux
Appendix 6. Berry Phase
Appendix 7. Second quantization
Appendix 8. Greens functions, spectral function, tunneling
Appendix 9. Off-diagonal long-range order
Appendix 10. Total energies and energy gaps
Appendix 11. Lowest Landau level projection
Appendix 12. Metropolis Monte Carlo
Appendix 13. Composite-fermion diagonalization
Bibliography
Index.