Understand
We construct a theory of hydrodynamic transport for systems with conserved dipole moment, U(1) charge, energy, and momentum.
- These models have been considered in the context of fractons, since their elementary and isolated charges are immobile by symmetry, and have two known translation-invariant gapless phases: a "p-wave dipole superfluid" phase where the dipole symmetry is spontaneously broken and a "s-wave dipole superfluid" phase where both the U(1) and dipole symmetries are spontaneously broken.
- We argue on grounds of symmetry and thermodynamics that there is no transitionally-invariant gapless fluid with unbroken dipole symmetry.
- In this work, we primarily focus on the hydrodynamic description of p-wave dipole superfluids, including leading dissipative corrections.