Superfluids flow without resistance. It's hard to imagine, but quantum mechanically possible, that solids should do the same at low enough temperatures. Helium-4 might be the first known 'supersolid'.
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Beamish, J. Supersolid helium. Nature 427, 204–205 (2004). https://doi.org/10.1038/427204a
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DOI: https://doi.org/10.1038/427204a
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