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 (10)

• Magnetic Monopoles in Spin Ice
• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• Dipolar spin correlations in classical pyrochlore magnets
• Power-law spin correlations in pyrochlore antiferromagnets
• Magnetic anisotropy of the spin ice compound Dy2Ti2O7
• 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
• Neutron scattering studies of the spin ices Ho2Ti2O7 and Dy2Ti2O7 in applied magnetic field

Cited by in corpus (9)

• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Non-collinearity and spin frustration in the itinerant kagome ferromagnet Fe3Sn2
• Curie-law crossover in spin liquids
• Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• Topological-sector fluctuations and ergodicity breaking at the Berezinskii-Kosterlitz-Thouless transition
• Confinement of monopoles and scaling theory near unconventional critical points
• The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect