Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions
Statistical Mechanics
2023-04-26 v1 Strongly Correlated Electrons
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2209.08108,
title = {Anomalous hydrodynamics with triangular point group in 2 + 1 dimensions},
author = {Marvin Qi and Jinkang Guo and Andrew Lucas},
journal= {arXiv preprint arXiv:2209.08108},
year = {2023}
}