The Kasteleyn transition in three dimensions: spin ice in a [100] field

Abstract

We discuss the nearest neighbour spin ice model in the presence of a magnetic field placed along the cubic [100] direction. As recently shown in Phys. Rev. Lett. 100, 067207, 2008, the symmetry sustaining ordering transition observed at low temperature is a three dimensional Kasteleyn transition. We confirm this with numerical data using a non-local algorithm that conserves the topological constraints at low temperature and from analytic calculations from a Bethe lattice of corner sharing tetrahedra . We present a thermodynamic description of the Kasteleyn transition and discuss the relevance of our results to recent neutron scattering experiments on spin ice materials.

References in corpus (4)

• Theory of the [111] magnetization plateau in spin ice
• Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Magnetization process of spin ice in a [111] magnetic field