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

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

2009-03-04

arxiv.org/abs/0903.0709v1

Phys. Rev. B 78, 064404 (2008)

Physics

Condensed Matter

Materials Science

6 pages, 8 figures

Scientific paper

10.1103/PhysRevB.78.064404

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_BT_c= (0.86\pm 0.07)\varepsilon_d $ and $\varepsilon_d$ 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 $\nu =1.5\pm0.5$; in two dimensions $\xi$ diverges at or near T=0 and $\nu=3\pm1$.

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