Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions

TL;DR

This paper develops a hydrodynamic theory for a vector U(1) charge in 2+1 dimensions with triangular symmetry, revealing a chiral anomaly's impact on mode dispersion and supported by numerical simulations.

Contribution

It introduces a novel hydrodynamic framework incorporating chiral anomaly effects for systems with triangular point group symmetry.

Findings

Identification of a ballistic contribution to hydrodynamic mode dispersion

Numerical evidence supporting the anomalous hydrodynamic universality class

Discussion of generalizations to other symmetry groups

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.