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Lecture Notes on Superconductivity (A Work in Progress)

Lecture Notes on Superconductivity (A Work in Progress). Daniel Arovas Congjun Wu Department of Physics University of California, San Diego June 23, 2019. Contents 0 References 1. General Texts .. 1. Organic Superconductors .. 2. Unconventional Superconductors .. 2. Superconducting Devices .. 2. 1 Phenomenological Theories of Superconductivity 3. Basic Phenomenology of Superconductors .. 3. Thermodynamics of Superconductors .. 5. London Theory .. 8. Ginzburg-Landau Theory .. 11. Landau theory for superconductors .. 12. Ginzburg-Landau Theory .. 13. Equations of motion .. 13. Critical current .. 14. Ginzburg criterion .. 15. Domain wall solution .. 17. Scaled Ginzburg-Landau equations .. 18. Applications of Ginzburg-Landau Theory .. 19. Domain wall energy .. 19. Thin type-I films : critical field strength .. 21. Critical current of a wire .. 24. Magnetic properties of type-II superconductors.

The superconducting state is a phase of matter, as is ferromagnetism, metallicity, etc. The phenomenon was dis-covered in the Spring of 1911by the Dutch physicist H. Kamerlingh Onnes, who observed an abrupt vanishing of the resistivity of solid mercury at T= 4.15K1. Under ambient pressure, there are 33 elemental superconductors2,

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