Superconductivity: Key Concepts and Phenomena
Explore the fascinating world of superconductivity through topics like trapped magnetic fluxes, Meissner effect, penetration depth, critical field, and the origin of superconductivity. Discover the science behind superconductors and their unique properties explained by Vitaliy Goryashko.
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Presentation Transcript
Physics of trapped magnetic fluxes in SC cavities Vitaliy February, 2016
Superconductivity Abrupt jump of DC resistance to zero at T < Tc Meissner effect Isotope effect Second-order phase transition and supercurrent Penetration depth Coherence length Cooper pairs Ginzburg-Landau model 2 Vitaliy Goryashko
Meissner Effect: superconductors type-I Beyond critical field: the intermediate state 3 Vitaliy Goryashko
London penetration depth For normal conductors ? = ?? For superconductors ? 2 ? ? = 4??? Using the Maxwell equation ???? ? =4? ? ? 2, ?2? = ?/?? we obtain whose solution is ? ? = ?0? ?/?? ??2/4???2 ??= and the penetration depth reads For niobium it is around 500 . 4 Vitaliy Goryashko
Critical Field The energy required to push an external field out of the sample is =?0 2 8? at zero temperature. 5 Vitaliy Goryashko
Meissner Effect: superconductors type-II 6 Vitaliy Goryashko
Thermodynamics of superconductors 2 ? ??0 ??0 =?0 4? 7 Vitaliy Goryashko
The origin of superconductivity: Cooper pair 8 Vitaliy Goryashko
9 Vitaliy Goryashko
10 Vitaliy Goryashko
