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Motivated by recent studies of fractons, we demonstrate that elasticity theory of a two-dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete manifestation of the fracton phenomenon in an ordinary solid.
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H. Altenbach, S. Frost, and A. Krivtsov, Generalized continua as models for materials: with multi-scale effects or under multi-field actions . Springer (2013)
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T. H. Hsieh, G. B. Halász, Fractons from partons . Phys. Rev. B 96, 165105 (2017), arXiv:1703.02973
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