Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundle bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 3rd 2020

    added pointer to:

    diff, v2, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 5th 2020

    added this pointer for discussion of superconductivity via AdS/CFT in condensed matter physics:

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 19th 2020
    • (edited Dec 19th 2020)

    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 π 2\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.

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 19th 2020

    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.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeDec 20th 2020

    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)

    diff, v9, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeFeb 16th 2021

    added pointer to today’s:

    • M. C. Diamantini, C. A. Trugenberger, V. M. Vinokur, Topological Nature of High Temperature Superconductivity (arXiv:2009.01763)

    diff, v13, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeNov 9th 2021

    added pointer to today’s

    • Yiqian Chen, Xiaobo Guo, Peng Wang, Holographic Superconductors in a Non-minimally Coupled Einstein-Maxwell-scalar Model (arXiv:2111.03810)

    diff, v18, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeNov 16th 2021

    added pointer to today’s

    • Chuan-Yin Xia, Hua-Bi Zeng, Yu Tian, Chiang-Mei Chen, Jan Zaanen, Holographic Abrikosov lattice: vortex matter from black hole (arXiv:2111.07718)

    diff, v19, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeMar 5th 2023

    added pointer to:

    diff, v27, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJun 14th 2023

    added pointer to:

    diff, v28, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeJun 16th 2023

    added pointer to:

    diff, v29, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeJun 16th 2023

    and this one:

    • A. M. Campbell, Maxwell’s Equations in Superconductors, IEEE Transactions on Applied Superconductivity 17 2 (2007) [doi:10.1109/TASC.2007.900042]

    diff, v29, current

    • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeJun 16th 2023
    • (edited Jun 16th 2023)

    I have added pointer to these “lecture slides”, which are pretty good in their format:

    • www.phys.nthu.edu.tw: Superconductivity lecture slides, [I:pdf, II:pdf, III:pdf]

    The fist pdf is titled “Chapter 10”, but I haven’t figured out yet which course this is chapter 10 of, nor who the author is

    diff, v29, current