Cooled to temperatures just above absolute zero, solid helium starts to behave very oddly. But its 'supersolid' behaviour might just be the result of imperfections that change the bulk properties of the crystal.
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Dorsey, A., Huse, D. Shear madness. Nature 450, 800–801 (2007). https://doi.org/10.1038/450800a
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DOI: https://doi.org/10.1038/450800a