Reference for understanding vortex physics in superconductors

Question

I have been trying to find a good reference to understand the motion of vortices in type-II superconductors. While most textbooks on superconductivity talk qualitatively about this subject, I have been looking for advanced material, that actually discuss the intricacies of arriving at equations of motion for Abrikosov's vortices.

mike stone · Answer

Suprisingly this is still a controversial topic. There are a number of different approaches that give different answers to the motion. A logically based theory is here
Alan T. Dorsey Vortex motion and the Hall effect in type-II superconductors: A time-dependent Ginzburg-Landau theory approach,
Phys. Rev. B 46, 8376 (1992)
but this does model not agree with experiment in all cases.
A more recent paper with lots of references is
https://arxiv.org/pdf/1912.10062.pdf
but the logic as what causes the phase of the order parameter to evolve  is not clear to me.

Reference for understanding vortex physics in superconductors

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