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added pointer to:
added this pointer for discussion of superconductivity via AdS/CFT in condensed matter physics:
I have added these pointers:
S. J. Chapman, A Hierarchy of Models for Type-II Superconductors, IAM Review Vol. 42, No. 4 (Dec., 2000), pp. 555-598 (jstor:2653134)
Carsten Timm, Theory of Superconductivity, 2020 (pdf)
What I was really looking for is a citable source whose author would state clearly that the flux/vortex quantization is mathematically due to the one-point compactification of the transversal plane being the 2-sphere, whose $\pi_2$ is $\mathbb{Z}$.
Of course if one knows this then one can recognize this is as being the secret underlying reason of the usual arguments (e.g. Chapman 2.33 or Timm p. 27), but I was hoping a published author would more openly admit this.
The closest I have found is p. 6-7 (Section IV.B) of
which comes closer to making this explicit.
Am preparing an illustration of fluxon quantization in superconductors. A first version is here. Not included on the nLab page yet, as I need to call it quits for tonight.
Now I have written a few lines in a new section Magnetic flux quantization in type II superconductors, including those graphics.
I think I’ll want to give that paragraph a little stand-alone entry of its own, for ease of cross-linking elsewhere (such as at Dirac charge quantization, magnetic charge, vortex and maybe elsewhere, too)
added pointer to today’s:
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