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.

References in corpus (7)

• Electron hydrodynamics with a polygonal Fermi surface
• Fracton hydrodynamics without time-reversal symmetry
• Universal subdiffusion in strongly tilted many-body systems
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems
• Fracton magnetohydrodynamics
• Hydrodynamic effective field theories with discrete rotational symmetry
• Emergent Fracton Dynamics in a Non-Planar Dimer Model

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