2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155932We examine the statistical mechanics of spin-ice materials with a [100] magnetic field. We show that the approach to saturated magnetisation is, in the low-temperature limit, an example of a 3D Kasteleyn transition, which is topological in the sense that magnetisation is changed only by excitations that span the entire system. We study the transition analytically and using a Monte Carlo cluster algorithm, and compare our results with recent data from experiments on Dy2Ti2O7.4 pages, 5 figuresStatistical MechanicsDisordered Systems and Neural NetworksStrongly Correlated Electronstext