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.
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.
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