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arXiv · 1210.8361

Static properties of 2D spin-ice as a sixteen-vertex model

Laura Foini·Demian Levis·Marco Tarzia·Leticia F. Cugliandolo
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Abstract

We present a thorough study of the static properties of 2D models of spin-ice type on the square lattice or, in other words, the sixteen-vertex model. We use extensive Monte Carlo simulations to determine the phase diagram and critical properties of the finite dimensional system. We put forward a suitable mean-field approximation, by defining the model on carefully chosen trees. We employ the cavity (Bethe-Peierls) method to derive self-consistent equations, the fixed points of which yield the equilibrium properties of the model on the tree-like graph. We compare mean-field and finite dimensional results. We discuss our findings in the context of experiments in artificial two dimensional spin ice.

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Laura Foini, Demian Levis, Marco Tarzia, Leticia F. Cugliandolo. 2013-01-08. Static properties of 2D spin-ice as a sixteen-vertex model. https://doi.org/10.1088/1742-5468%2F2013%2F02%2Fp02026

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