Electron Liquids

1. General Description of Electron Systems.- 1.1 Classification of Electron Systems.- 1.2 Low-Dimensional Electron Systems.- 1.3 Characteristic Lengths.- 1.4 Fermi Liquid Theory.- 1.5 Tight Binding, Anderson and Hubbard Models.- 2. Dielectric Function.- 2.1 RPA Dielectric Function.- 2.2 Beyond the RPA.- 2.3 Plasmon Dispersion.- 3. One-Component Plasmas at High Temperatures.- 3.1 ? and ? Series.- 3.2 Quantum Effects at High Temperatures.- 3.3 Short-Distance Correlations.- 4. Low Temperature Plasmas.- 4.1 Asymptotic Correlations.- 4.2 Correlation Energy in Three Dimensions.- 4.3 Correlation Energy of 2D Electrons.- 5. Electron-Hole Liquids.- 5.1 Excitons.- 5.2 Phase Diagram.- 5.3 2D Electron-Hole Plasma.- 6. Correlation in a Magnetic Field.- 6.1 Spatial Correlation in a Magnetic Field.- 6.2 Magnetic Response in Three Dimensions.- 6.3 Effective g-Factor in Si Inversion Layers.- 6.4 Coulomb Effects on 2D de Haas-van Alphen Oscillations.- 6.5 Field Induced SDW States of 1D Conductors.- 7. Electronic Specific Heat.- 7.1 Correlation Effects.- 7.2 Magnetothermal Effect in Two Dimensions.- 7.3 Heavy Fermions.- 8. Magnetoconductivity in Two Dimensions.- 8.1 Magnetoconductivity of 2D Electrons.- 8.2 Memory Function Formalism.- 8.3 Anomalous Cyclotron Resonance.- 9. Localization.- 9.1 Anderson Localization and Scaling.- 9.2 Weak Localization.- 9.3 Interaction Effect.- 10. Hopping, Percolation and Conductance Fluctuations.- 10.1 Hopping and Percolation.- 10.2 Universal Conductance Fluctuations in 1D Systems.- 10.3 Conductance of TTF/TCNQ.- 11. High-Tc Superconductivity.- 11.1 Electron Pairing in BCS Theory.- 11.2 Properties of High-Tc Superconductors.- 11.3 Theoretical Consideration.- 12. Integral Quantum Hall Effect.- 12.1 Quantization of Hall Conductivity of 2D Electrons.- 12.2Localization and Scaling.- 12.3 Theoretical Interpretation.- 13. Fractional Quantum Hall Effect.- 13.1 Experimental Results.- 13.2 Ground State of the FQHE.- 13.3 Elementary Excitations and Off-Diagonal Long Range Order.- 14. Phase Transition and Stability of Matter.- 14.1 Crystallization.- 14.2 Properties of an Electron Lattice.- 14.3 Stability of Matter.- A. Appendix.- A.l Pair Distribution Function.- A.2 Classical and Quantum Chains.- A.3 Ring Diagram Formulas.- A.4 Density Functional Approach.- References.