How did Abrikosov approach superconductor theory?
My approach was rooted in the established Ginzburg-Landau theory, a phenomenological theory that describes superconductivity using an order parameter. I focused on the implications of this theory in the regime where the coherence length is smaller than the magnetic penetration depth. This situation allows for the formation of vortices. I rigorously solved the Ginzburg-Landau equations in this regime, demonstrating that the most stable configuration for the magnetic field penetration is not a homogeneous state but a periodic arrangement of quantized flux lines. Symmetry considerations and the desire for exact mathematical solutions, rather than approximations, were paramount.
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