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arXiv · 0912.3469

Evidence for a Finite-Temperature Spin Glass Transition in a Diluted Dipolar Heisenberg Model in Three Dimensions

Abstract

By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We perform a finite-size scaling analysis of the spin-glass susceptibility, $χ_{\rm SG}$, and spin-glass correlation length, $ξ_{L}$. For the available system sizes that can be successfully equilibrated, the crossing of $ξ_{L}/L$ versus temperature is strongly affected by corrections to scaling and possibly by a short-length scale ferromagnetic spin blocking. Similarly to many studies of different three dimensional spin-glass systems, we do not find a crossing of the spin glass order parameter Binder ratio.

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Pawel Stasiak, Michel J. P. Gingras. 2009-12-17. Evidence for a Finite-Temperature Spin Glass Transition in a Diluted Dipolar Heisenberg Model in Three Dimensions. https://arxiv.org/abs/0912.3469

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