# Superconductivity and abelian Higgs model

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I want to understand superconductivity in abelian Higgs model. Namely, I want to see why in type-2 superconductor ($\lambda \gg e^2$) lattice is formed of a large number of vortices with topological number equal to $1$ (I mean Abrikosov vortex), and in type-1 superconductor ($\lambda \ll e^2$) we have one big vortex with topological number equal to N. Also it would be interesting to see an explanation for Meissner effect.

Can you name textbooks, articles or other links?

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