Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions

Abstract

We present a theory of hydrodynamics for a vector U(1) charge in 2+1 dimensions, whose rotational symmetry is broken to the point group of an equilateral triangle. We show that it is possible for this U(1) to have a chiral anomaly. The hydrodynamic consequence of this anomaly is the introduction of a ballistic contribution to the dispersion relation for the hydrodynamic modes. We simulate classical Markov chains and find compelling numerical evidence for the anomalous hydrodynamic universality class. Generalizations of our theory to other symmetry groups are also discussed.

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• A Chern-Simons theory for dipole symmetry
• Designing open quantum systems with known steady states: Davies generators and beyond
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits
• Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field