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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.100.067207

We 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.

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