Whether or not a superconductor is truly superconducting depends on its size and even its shape. In a geometry intermediate between one and two dimensions, it seems a thin film does not reach a state of zero resistance except at zero temperature.
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References
Hermele, M., Refael, G., Fisher, M. P. A. & Goldbart, P. M. Nature Phys. 1, 117–121 (2005).
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Girvin, S. Just what is superconductivity?. Nature Phys 1, 83–84 (2005). https://doi.org/10.1038/nphys158
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DOI: https://doi.org/10.1038/nphys158
