| Superfluidity | p. 1 |
| The Landau critical velocity | p. 1 |
| Origin of the condensate | p. 4 |
| Phase of the condensate | p. 8 |
| Two-Fermion superfluids | p. 10 |
| The Meissner effect | p. 13 |
| Flux quantization | p. 14 |
| BCS superconducting metals | p. 16 |
| Condensation energy | p. 16 |
| The BCS wave function | p. 17 |
| Summary | p. 19 |
| Further reading | p. 20 |
| Coherence length, penetration depth and critical temperature | p. 21 |
| Origin of the coherence length in superconducting metals | p. 22 |
| Experimental methods for the determination of the coherence length | p. 25 |
| Boundary effect | p. 26 |
| Nucleation field | p. 28 |
| Nucleation field and thermodynamical critical field | p. 29 |
| Surface nucleation | p. 31 |
| Experimental results for the coherence length | p. 32 |
| Boundary effect experiments | p. 32 |
| Nucleation field measurements | p. 32 |
| Comparison with theoretical predictions | p. 35 |
| Penetration depth and critical temperature | p. 37 |
| The Uemura law | p. 37 |
| Granular superconductors | p. 38 |
| Further reading | p. 40 |
| The phase transition | p. 43 |
| Free energies | p. 43 |
| Metals: mean field behavior | p. 45 |
| Examples of non-mean field behavior | p. 46 |
| The anomalous normal state in the ceramics | p. 47 |
| Fluctuations | p. 50 |
| The small grain case | p. 50 |
| Three-dimensional fluctuations: quasi-mean field treatment | p. 53 |
| The heat capacity transition in the High T[subscript c]: the case of YBCO | p. 55 |
| The heat capacity transition in high anisotropy cuprates | p. 59 |
| Condensation energies | p. 60 |
| Summary | p. 61 |
| Further reading | p. 62 |
| Phase diagrams | p. 63 |
| Granular superconductors | p. 65 |
| The granular structure | p. 66 |
| The M/I transition in the granular structure: progressive Coulomb blockade | p. 68 |
| Transport regimes and the phase diagram | p. 69 |
| Loss of superfluid density and decrease of T[subscript c] near the M/I transition | p. 76 |
| The short coherence length of granular superconductors | p. 78 |
| Phase diagram of the cuprates | p. 81 |
| Transport regimes and the phase diagram | p. 84 |
| Loss of superfluid density and critical temperature in the cuprates | p. 87 |
| Summary | p. 89 |
| Further reading | p. 89 |
| Gap, symmetry and pseudo-gap | p. 91 |
| The BCS s-wave gap | p. 92 |
| The BCS density of states | p. 92 |
| Giaever tunneling and Andreev-Saint-James reflections | p. 94 |
| Gap symmetry in the cuprates | p. 99 |
| Experimental evidence for low lying states | p. 99 |
| Gap anisotropy | p. 101 |
| Superconducting gap and pseudo-gap | p. 111 |
| Summary | p. 114 |
| Further reading | p. 115 |
| Basics on vortices | p. 117 |
| Vortices and vortex matter | p. 117 |
| The isolated vortex | p. 118 |
| The line energy | p. 118 |
| Vortex rigidity and pinning | p. 120 |
| Formation of the vortex lattice | p. 121 |
| Field of first entry: equilibrium | p. 122 |
| Field of first entry: Bean-Livingston barrier | p. 122 |
| Vortex interactions and lattice formation | p. 123 |
| Lattice deformations | p. 125 |
| The Abrikosov lattice near H[subscript c2] | p. 126 |
| Vortex motion | p. 127 |
| Probing surface currents in d-wave superconductors | p. 130 |
| Summary | p. 133 |
| Further reading | p. 133 |
| Cuprate superconductors under strong fields | p. 135 |
| Vortex lattice melting | p. 136 |
| Lattice melting - Lindemann criterion | p. 137 |
| Melting and order parameter fluctuation effects | p. 139 |
| Loss of line tension | p. 141 |
| Effect of disorder on vortex phase transitions | p. 143 |
| Experiments on vortex phase transitions | p. 143 |
| Experimental methods | p. 143 |
| Vortex phase transitions in Bi 2212 crystals | p. 147 |
| Vortex phase transitions in YBCO crystals | p. 149 |
| Summary | p. 153 |
| Further reading | p. 153 |
| From fundamentals to applications | p. 155 |
| The need for high critical temperatures and fields | p. 155 |
| High critical temperatures | p. 158 |
| BCS theory | p. 158 |
| The McMillan strong coupling extension of the BCS theory | p. 159 |
| Density of states effects | p. 160 |
| The BCS to Bose-Einstein strong coupling cross-over | p. 163 |
| Unconventional pairing mechanisms | p. 169 |
| Is there a BCS to BE cross-over in the cuprates? | p. 172 |
| Critical currents in weak fields: the depairing limit | p. 173 |
| Upper critical fields | p. 174 |
| Zero temperature limit | p. 174 |
| Practical upper temperature for superconductivity | p. 177 |
| Role of the condensation energy | p. 177 |
| Loss of line tension | p. 181 |
| Concluding remarks: coupling strength versus useful high T[subscript c] | p. 185 |
| Further reading | p. 186 |
| HTS conductors and their applications | p. 189 |
| Grain boundaries | p. 191 |
| First and second generation wires | p. 196 |
| Properties of first generation wires | p. 197 |
| Applications of 1G wire | p. 199 |
| Progress in coated conductors: 2G wire | p. 204 |
| Coated conductor performance | p. 208 |
| Further reading | p. 218 |
| Index | p. 219 |
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