Chapter 1 Introduction to Superconductivity 1.1 Basic Properties of Superconductivity 1.2 Two Characteristic Length Scales 1.3 Two-Fluid Model and London Equations 1.4 Cooper Pairing 1.5 Mean-Field Theory of Superconductivity 1.6 Bogoliubov-de Gennes Self-Consistent Equations 1.7 Charge and Probability Current Density Operators of Supercon ducting Quasiparticles 1.8 Off-Diagonal Long Range Order 1.9 Ginzburg-Landau Free Energy 1.10 Spontaneous Symmetry Breaking and Meissner Effect 1.11 Two Characteristic Energy Scales 1.12 Pairing Mechanism 1.13 Classification of Pairing Symmetry 1.14 Pairing Symmetry of High-Tc Superconductors Chapter 2 Microscopic Models for High Temperature Superconductors 2.1 Phase Diagram of Cuprate Superconductors 2.2 Antiferromagnetic Insulating States 2.3 The Three-Band Model 2.4 The dp-Model of Interacting Spins and Holes 2.5 The Zhang-Rice Singlet 2.6 The Hubbard Model 2.7 Electronic Structure along the c-Axis 2.8 Systems Doped with Zn-or Ni-Impurities 2.8.1 The Zn Impurity 2.8.2 The Ni Impurity Chapter 3 Fundamental Properties of d-Wave Superconductor 3.1 Gap Function 3.2 Density of States 3.3 Entropy 3.4 Specific Heat 3.5 Gap Operators in the Continuum Limit 3.6 The Probability Current and Electric Current Operators Chapter 4 Quasiparticle Excitation Spectra 4.1 Single-Particle Spectral Function 4.2 ARPES 4.3 Fermi Surface and Luttinger Sum Rule 4.4 Particle-Hole Mixing and Superconducting Energy Gap 4.5 Scattering between Quasiparticles Chapter 5 Tunneling Effect 5.1 Electron Scattering on the Surface of a Superconductor 5.2 Tunneling Conductance 5.3 Scattering from the 6-Function Interface Potential 5.4 The Surface Bound State 5.5 Tunneling Hamiltonian 5.6 Tunneling Current 5.7 Tunneling Current of Quasiparticles Chapter 6 Josephson Effect 6.1 Josephson Tunneling Current
6.2 Spontaneous Magnetic Flux Quantization 6.3 The Phase-Sensitive Experiments 6.3.1 Quantum Interference Effect of Josephson Junctions 6.3.2 Spontaneous Quantized Flux 6.4 Paramagnetic Meissner Effect Chapter 7 Single Impurity Scattering 7.1 Non-Magnetic Impurity Scattering 7.2 The Resonance State 7.3 Correction to the Quasiparticle Density of States 7.4 Tunneling Spectrum of the Zn-Impurity Resonance State 7.5 Comparison with the Anisotropic s-Wave Superconductors 7.6 The Classical Spin Scattering 7.7 The Kondo Effect Chapter 8 Many-Impurity Scattering 8.1 Scattering Potential and Disorder Average 8.2 The Self-Energy Function 8.3 The Born Scattering Limit 8.4 The Resonant Scattering Limit 8.5 Correction to the Superconducting Critical Temperature 8.6 Density of States 8.7 Entropy and Specific Heat Chapter 9 Superfluid Response 9.1 The Linear Response Theory 9.2 The In-Plane Superfluid Density 9.3 The Superfluid Density along the c-Axis 9.4 Impurity Correction 9.5 Superfluid Response in Weakly Coupled Two-Band Superconductors 9.6 The Electron-Doped High-Tc Superconductors 9.7 The Non-Linear Effect 9.8 Relationship between the Magnetic Penetration Depth and the Superfluid Density 9.9 The Non-Local Effect Chapter 10 Optical and Thermal Conductivities 10.1 Optical Conductivity 10.2 The Optical Sum Rule 10.3 Light Absorption in the Dirty Limit 10.4 Effect of Elastic Impurity Scattering 10.5 Microwave Conductivity of High-T. Superconductors 10.6 The Heat Current Density Operator 10.7 The Universal Thermal Conductivity Chapter 11 Raman Spectroscopy 11.1 Raman Response Function 11.2 Vertex Correction by the Coulomb Interaction 11.3 The Raman Response Function of d-Wave Superconductors 11.4 Effect of Non-Magnetic Impurity Scattering 11.5 Experimental Results of High-T Superconductors Chapter 12 Nuclear Magnetic Resonance 12.1 Spin Correlation Function 12.2 Hyperfine Interaction
12.3 Knight Shift 12.4 Spin-Lattice Relaxation 12.5 Effect of Impurity Scattering 12.6 Contribution of Impurity Resonance States 12.7 Experimental Results of High-Tc Superconductors Chapter 13 The Mixed State 13.1 The Semi-Classical Approximation 13.2 Low Energy Density of States 13.3 Universal Scaling Laws Appendix A Bogoliubov Transformation A.1 Fermi Systems A.2 Bose Systems Appendix B Hohenberg Theorem B.1 Bogoliubov Inequality B.2 Physical Meaning of the Bogoliubov Inequality B.3 Bose Systems B.4 Fermi Systems Appendix C Degenerate Perturbation Theory Appendix D Anderson Theorem Appendix E Sommerfeld Expansion Bibliography
[