Composite Fermions

• Preface; List of symbols and abbreviations; 1. Overview; 2. Quantum Hall effect; 3. Landau levels; 4. Theory of the IQHE; 5. Foundations of the composite fermion theory; 6. Microscopic verifications; 7. Theory of the FQHE; 8. Incompressible ground states 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 physics; 15. Composite fermion crystals; Appendices: A. Gaussian integral; B. Useful operator identities; C. Point flux tube; D. Adiabatic insertion of a point flux; E. Berry phase; F. Second quantization; G. Green's functions, spectral function, tunneling; H. Off-diagonal long-range order; I. Total energies and energy gaps; J. Lowest Landau level projection; K. Metropolis Monte Carlo; L. Composite fermion diagonalization; References; Index.

‘Everything you always wanted to know about Composite Fermions by its primary architect and champion. Much gorgeous theory, of course, but also an excellent collection of the relevant experimental data. For the initiated, an illuminating account of the relationship between Composite Fermion model and other models on stage. For the novice, a lucid presentation and dozens of valuable exercises.’ Horst Stormer, Columbia University, NY and Lucent Technologies. Winner of the Nobel Prize in Physics in 1998 for discovery of a new form of quantum fluid with fractionally charged excitations.