Infinite families of fracton fluids with momentum conservation

Understand

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.