Kinematically constrained vortex dynamics in charge density waves

TL;DR

This paper introduces a minimal model for vortex dynamics in charge density waves that incorporates dipole conservation, leading to slow vortex decay and aligning with experimental observations in LaTe3.

Contribution

The paper presents a novel vortex dynamics model with dipole conservation, explaining slow decay rates and experimental phenomena in uniaxial charge density waves.

Findings

Vortex decay rates are anomalously slow due to dipole conservation.

The model aligns with experimental data on LaTe3 charge density wave formation.

Applicable across various time scales during the quench process.

Abstract

We build a minimal model of dissipative vortex dynamics in two spatial dimensions, subject to a kinematic constraint: dipole conservation. The additional conservation law implies anomalously slow decay rates for vortices. We argue that this model of vortex dynamics is relevant for a broad range of time scales during a quench into a uniaxial charge density wave state. Our predictions are consistent with recent experiments on uniaxial charge density wave formation in $\mathrm{LaTe}_3$.