Dynamic scaling near the Kasteleyn transition in spin ice: Critical relaxation of monopoles and strings following a field quench
Year: 2026
Authors: Pal S., Powell S.
Autors Affiliation: Univ Nottingham, Sch Phys & Astron, Nottingham NG7 2RD, England; Univ Trento, Pitaevskii BEC Ctr, CNR INO, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy.
Abstract: We study dynamics in classical spin ice following a magnetic field quench to close to the Kasteleyn transition, using Monte Carlo simulations and dynamic scaling theory to characterize the relaxation of the magnetization and the density of magnetic monopoles. We have previously argued that this dynamics can be described in terms of seeding and growth of strings of flipped spins, and our results here demonstrate that a solvable stochastic model based on independent strings correctly describes the relaxation as well as the distribution of string lengths within the critical scaling regime near the transition. We also show how generalized scaling forms capture the behavior over a broader range of monopole densities and provide a clear understanding of the breakdown of the scaling picture further from the critical point.
Journal/Review: PHYSICAL REVIEW B
Volume: 114 (2) Pages from: 24402-1 to: 24402-22
More Information: This work was supported by the Engineering and Physical Sciences Research Council Grant No. EP/T021691/1. The numerical simulations used resources provided by the University of Nottingham Augusta and Ada HPC services. S. Pal acknowledges the computational support from the University of Trento (UniTn) HPC cluster, where the last stage of the calculations was performed, and the hospitality and support from Lancaster University, where the manuscript was finalized for submission.KeyWords: Nonequilibrium Dynamics; Coulomb Phase; Statistics; EntropyDOI: 10.1103/tzwx-7t5r
