Superconductivity

Graduate text on superconductivity, an area of intense research activity worldwide.

Part I. Phenomenological Theories of Suoerconductivity: 1. Introduction; 2. The London-London equation; 3. Pippard's equation; 4. Thermodynamics of type I superconductor; 5. The intermediate state; 6. Surface energy between a normal and a superconducting metal; 7. Quantized vorticity; 8. Type II superconductivity; 9. The Ginzburg-Landau theory; 10. The upper critical field of a type II superconductor; 11. The anisotropic superconductor; 12. Superconductivity in thin slabs; 13. Surface superconductivity; 14. The type II superconductor for H just below Hc2; 15. The Josephson effect; 16. The Josephson lattice in 1D; 17. Vortex structures in layered superconductors; 18. Granular superconductors; the Josephson lattice in 2D and 3D; 19. Wave propagation in Josephson junctions, superlattices and arrays; 20. Flux pinning and flux motion; 21. Time dependent Ginzburg-Landau theory; 22. Fluctuation effects; 23. Ginzburg-Landau theory of an unconventional superfluid; 24. Landau Fermi liquid theory; Part II. The Microscopic Theory of a Uniform Superconductor: 25. The Cooper problem: pairing of two electrons above a filled Fermi sea; 26. The Bardeen-Cooper-Schrieffer theory of the superconducting ground state; 27. Elementary excitations; the Bogoliubov-Valatin transformation; 28. Calculation of the thermodynamic properties using the Bogoliubov-Valatin method; 29. Quasiparticle tunneling; 30. Pair tunneling: the microscopic theory of the Josephson effects; 31. Simplified discussion of pairing mechanisms; 32. The effect of Coulomb repulsion on Tc; 33. The two band superconductor; 34. Time dependent perturbations; 35. Non equilibrium superconductivity; Part III. Non Uniform Superconductors: 36. Bogoliubov's self-consistent potential equations; 37. Self consistency conditions and the free energy; 38. Linearized self consistency and the correlation function; 39. Behaviour of the correlation function in the clean and dirty limits; 40. Self consistency condition; 41. Effects involving electron spin; 42. Boundary conditions; 43. The proximity effect at zero field; 44. Proximity effect in a magnetic field; 45. Derivation of the Ginzburg-Landau theory; 46. Gauge invariance; Diamagnetism in the low field limit; 47. The quasi-classical case; 48. The isolated vortex line; 49. Time dependent Bogoliubov equations; 50. The response of a superconductor to an electromagnetic field; 51. The Bogoliubov equations for an unconventional superfluid; 53. Superfluid 3He; 54. Collective modes in normal and superfluid Fermi systems; 55. Green's functions; Appendix A. The occupation number representation; Appendix B. Some calculations involving the BCS wavefunction; Appendix C. The gap as a perturbation through third order; References; Additional reading; List of mathematical and physical symbols; Index.