Transcription of Lecture Notes on Superconductivity (A Work in Progress)
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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 .. 26. i ii CONTENTS. Lower critical field .. 27. Abrikosov vortex lattice .. 28.
• Vanishing electrical resistance: The DC electrical resistance at zero magnetic field vanishes in the super-conducting state. This is established in some materials to better than one part in 1015 of the normal state resistance. Abovethe criticaltemperatureTc, theDC resistivity atH= 0is finite. The ACresistivityremains
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