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Jun 20, 2017 at 12:31 comment added Alexey Sokolik @JWDiddy I don't know much about this subject, but I think Goldstone modes don't destroy superconductivity unless they violate the Landau criterium. In 2D you need to look at vortices and related BKT transition (see, e.g., journals.aps.org/prl/abstract/10.1103/PhysRevLett.47.1542). In 1D superconducting ordering can be absent theoretically, in infinite system, but can still be present in finite system.
Jun 19, 2017 at 21:01 comment added JWDiddy Is this the reason why fluctuations kill SC in 2D? Maybe you can help me answering this question physics.stackexchange.com/q/338943
Nov 24, 2016 at 18:09 history answered Alexey Sokolik CC BY-SA 3.0