| PREFACE | 6 |
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| CONTENTS | 8 |
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| 1INTRODUCTION | 18 |
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| 1.1 - A history of women and men | 18 |
| 1.2 - Experimental signs of superconductivity | 18 |
| 1.2.1 - The discovery of superconductivity: the critical temperature | 18 |
| 1.2.2 - The magnetic behavior of superconductors | 20 |
| 1.2.3 - Critical current | 20 |
| 1.2.4 - The isotope effect | 21 |
| 1.2.5 - JOSEPHSON currents and fluxquantization | 21 |
| 1.3 - Phenomenological models | 22 |
| 1.3.1 - LONDON theory | 22 |
| 1.3.2 - The thermodynamic approach | 23 |
| 1.3.3 - GINZBURG-LANDAU | 23 |
| 1.3.4 - Vortices | 24 |
| 1.4 - The microscopic BCS theory | 25 |
| 1.5 - Tunnelling effects | 26 |
| 1.6 - A great diversity of superconducting materials | 26 |
| 1.7 - “Unconventional” superconductors | 27 |
| 1.8 - Numerous spectacular applications | 28 |
| 1.9 - Superconductivity in the history of mankind | 29 |
| 2LONDON THEORY | 30 |
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| 2.1 - MAXWELL’s equations | 30 |
| 2.2 - The behavior expected for a perfect conductor | 31 |
| 2.2.1 - Electrical conduction in a normal conductor | 31 |
| 2.2.2 - Electrical conduction in a perfect conductor | 32 |
| 2.2.3 - Magnetic fields in a perfect conductor | 33 |
| 2.3 - Superconductor versus perfect conductor | 36 |
| 2.3.1 - Cooling in zero field followed by application of a field | 36 |
| 2.3.2 - Application of the magnetic field when T | 36 |
| 37 | 36 |
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| 2.4 - The LONDON equations | 39 |
| 2.4.1 - “Superconducting electrons” | 39 |
| 2.4.2 - First LONDON equation | 39 |
| 2.4.3 - Second LONDON equation | 40 |
| 2.4.4 - Superconducting slab in an applied magnetic field | 40 |
| 2.5 - The LONDON penetration depth | 42 |
| 2.5.1 - Experimental measurement of ? L | 42 |
| 2.5.2 - Temperature dependence of the LONDON penetration depth | 43 |
| 2.6 - Applications to superconducting wires | 43 |
| 2.6.1 - A wire in magnetic field | 43 |
| 2.6.2 - A current-carrying wire | 46 |
| 2.6.3 - Thin current-carrying wire | 47 |
| 2.6.4 - Generalized response of the wire | 47 |
| 2.7 - The OCHSENFELD experiment | 48 |
| 2.8 - Non-simply-connected superconductor | 49 |
| 2.8.1 - Sequence 1: cooling in zero field | 50 |
| 2.8.2 - Sequence 2: field cooling | 50 |
| 2.8.3 - Conclusion | 51 |
| 2.9 - Analysis from the point of view of energy | 51 |
| 2.9.1 - Energetic interpretation of the LONDON penetration depth | 51 |
| 2.9.2 - The second LONDON equation by a variational method | 52 |
| 2.10 - Description of superconductivity in fluid-mechanical terms | 54 |
| 2.11 - The LONDON moment | 55 |
| 2.11.1 - Intuitive approach | 55 |
| 2.11.2 - Calculating the LONDON moment | 56 |
| 2.12 - The LONDON equation in the LONDON gauge | 58 |
| 2.12.1 - The concept of gauge | 58 |
| 2.12.2 - The LONDON gauge | 59 |
| 2.12.3 - The second LONDON equation in the LONDON gauge | 60 |
| 2.12.4 - Momentum p and the LONDON equation | 60 |
| 2.12.5 - Non-simply-connected superconductors | 61 |
| 3THE NON-LOCAL PIPPARD EQUATIONS | 66 |
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| 3.1 - Origin of the non-local equations | 66 |
| 3.2 - Non-locality in pure superconductors | 67 |
| 3.3 - Penetration depth of the magnetic field | 68 |
| 3.4 - FOURIER analysis of the PIPPARD equations | 69 |
| 3.5 - “Dirty” superconductors | 72 |
| 4THERMODYNAMICS OF TYPE I SUPERCONDUCTORS | 75 |
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| 4.1 - Thermodynamic description | 76 |
| 4.2 - The thermodynamic variables of superconductivity | 77 |
| 4.2.1 - The relation between LONDON currents and magnetization | 77 |
| 4.2.2 - Thermodynamic systems | 78 |
| 4.2.3 - Interpreting the levitation of type I superconduct
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