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Article overview
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Static properties of 2D spin-ice as a sixteen-vertex model | Laura Foini
; Demian Levis
; Marco Tarzia
; Leticia F. Cugliandolo
; | Date: |
31 Oct 2012 | 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. | Source: | arXiv, 1210.8361 | Services: | Forum | Review | PDF | Favorites |
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