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

Fuente: arXiv
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Autori principali: Powell, Stephen, Pal, Sukla
Natura: Preprint
Pubblicazione: 2025
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author Powell, Stephen
Pal, Sukla
author_facet Powell, Stephen
Pal, Sukla
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_03341
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
Powell, Stephen
Pal, Sukla
Statistical Mechanics
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.
title Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
topic Statistical Mechanics
url https://arxiv.org/abs/2501.03341