Three-Dimensional Kasteleyn Transition: Spin Ice in a [100] Field

2007/10/31 by Ludovic D. C. Jaubert, J. T. Chalker, P. C. W. Holdsworth +3 · 5 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.100.067207

published as Physical Review Letters 100 (2008) 067207 · 4 pages, 5 figures

openalex publication_date 2008/02/15 · arxiv created 2008/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We examine the statistical mechanics of spin-ice materials with a [100] magnetic field. We show that the approach to saturated magnetization is, in the low-temperature limit, an example of a 3D Kasteleyn transition, which is topological in the sense that magnetization 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.

Citations

• Magnetization curve of spin ice in a [111] magnetic field
• Theory of the [111] magnetization plateau in spin ice

Cited by

• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Fractal deconfinement and confinement in Sierpinski ice
• Spin ice Thin Film: Surface Ordering, Emergent Square ice, and Strain Effects
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• Topological order of the Rys F-model and its breakdown in realistic square spin ice: Topological sectors of Faraday loops

Related

• Theory of the [111] magnetization plateau in spin ice
• Pinch points and Kasteleyn transitions in kagome ice
• Dynamics and thermodynamics of a topological transition in spin ice materials under strain
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
• Phase transitions and crtical exponents in the six-vertex model on kagome lattices