Infinite families of fracton fluids with momentum conservation

Abstract

We construct infinite families of new universality classes of fracton hydrodynamics with momentum conservation, both with multipole conservation laws and/or subsystem symmetry. We explore the effects of broken inversion and/or time-reversal symmetry at the ideal fluid level, along with momentum relaxation. In the case of one-dimensional multipole-conserving models, we write down explicit microscopic Hamiltonian systems realizing these new universality classes. All of these hydrodynamic universality classes exhibit instabilities and will flow to new non-equilibrium fixed points. Such fixed points are predicted to exist in arbitrarily large spatial dimensions.

arXiv comment15 pages

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• A Chern-Simons theory for dipole symmetry
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• Ideal fracton superfluids
• Emergent Dipole Gauge Fields and Fractons
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