Book contents
- Frontmatter
- Contents
- 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
- Appendixes
- 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
I - Total energies and energy gaps
Published online by Cambridge University Press: 07 December 2009
- Frontmatter
- Contents
- 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
- Appendixes
- 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
Summary
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- Chapter
- Information
- Composite Fermions , pp. 486 - 489Publisher: Cambridge University PressPrint publication year: 2007