Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice

TL;DR

This paper develops a dynamic scaling theory for relaxation after a magnetic-field quench near the Kasteleyn transition in spin ice, combining analytical derivations with Monte Carlo simulations.

Contribution

It introduces a novel dynamic scaling framework for critical relaxation in spin ice near an unconventional phase transition, validated by simulations.

Findings

Scaling forms for relaxation dynamics derived

Good agreement between simulations and analytical predictions

Applicable to experimental studies of spin ice materials

Abstract

We present a dynamic scaling theory to describe relaxation dynamics following a magnetic-field quench near an unconventional phase transition in the magnetic material spin ice. Starting from a microscopic model, we derive an effective description for the critical dynamics in terms of the seeding and growth of string excitations, and use this to find scaling forms in terms of time, reduced temperature and monopole fugacity. We confirm the predictions of scaling theory using Monte Carlo simulations, which also show good quantitative agreement with analytical expressions valid in the limit of low monopole density. As well as being relevant for experiments in the spin ice materials, our results open the way for the study of dynamic critical properties in a family of unconventional classical phase transitions.