Equilibrium spin-glass transition of magnetic dipoles with random anisotropy axes

Abstract

We study fully occupied lattice systems of classical magnetic dipoles which point along random axes. Only dipolar interactions are considered. From tempered Monte Carlo simulations, we obtain numerical evidence that supports the following conclusions: in three dimensions, (a) there is an equilibrium spin glass phase at temperatures below $T_c$, where $k_B{T}_c=(0.86\pm 0.07){\epsilon }_d$ and ${\epsilon }_d$ is a nearest neighbor dipole-dipole interaction energy, (b) in the spin glass phase the overlap parameter is approximately given by $\sqrt{1-T/T_c}$, and (c) the correlation length $\xi$ diverges at $T_c$ with a critical exponent $\nu =1.5\pm 0.5$; in two dimensions $\xi$ diverges at or near T=0 and $\nu =3\pm 1$.

arXiv comment6 pages, 8 figures

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Cited by in corpus (10)

• Monte Carlo study of the spin-glass phase of the site-diluted dipolar Ising model
• Equilibrium spin-glass transition of magnetic dipoles with random anisotropy axes on a site diluted lattice
• Low-temperature spin-glass behaviour in a diluted dipolar Ising system
• Zero-temperature spin-glass freezing in self-organized arrays of Co nanoparticles
• Nature of the spin-glass phase in dense packings of Ising dipoles with random anisotropy axes
• Phase diagram for ensembles of random close packed Ising-like dipoles as a function of texturation
• Understanding glassy phenomena in materials
• Monte Carlo study of the two-dimensional site-diluted dipolar Ising model
• Ferromagnetic order in dipolar systems with anisotropy: application to magnetic nanoparticle supracrystals
• The dipolar spin glass transition in three dimensions