Nonequilibrium relaxation analysis of a quasi-one-dimensional frustrated XY model for charge-density waves in ring-shaped crystals

TL;DR

This paper models charge density waves in ring-shaped crystals using a frustrated XY model, revealing unique phase transition behavior and a vortex lattice state with power-law relaxation.

Contribution

It introduces a novel frustrated XY model for ring-shaped crystals and analyzes its nonequilibrium dynamics, highlighting differences from traditional crystal models.

Findings

Identifies a distinct phase transition in the model.

Discovers a three-dimensional vortex lattice state.

Shows power-law relaxation in the ordered phase.

Abstract

We propose a model for charge density waves in ring shaped crystals, which depicts frustration between intra- and inter-chain couplings coming from cylindrical bending. It is then mapped to a three dimensional uniformly frustrated XY model with one dimensional anisotropy in connectivity. The nonequilibrium relaxation dynamics is investigated by Monte Carlo simulations to find a phase transition which is quite different from that of usual whisker crystal. We also find that the low temperature state is a three dimensional phase vortex lattice with a two dimensional phase coherence in a cylindrical shell and the system shows power law relaxation in the ordered phase.