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arXiv 0903.0709cond-mat.mtrl-scicond-mat.dis-nn
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具有随机各向异性轴的磁偶极子的平衡自旋玻璃转变

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

J. F. Fernández

摘要:

我们研究完全占据晶格系统的经典磁偶极子点沿随机轴。仅考虑偶极相互作用。从回火蒙特卡罗模拟中,我们获得了支持以下结论的数值证据:在三维中,(a)在低于$T_c$的温度下存在平衡自旋玻璃相,其中$k_BT_c= (0.86\pm 0.07)\varepsilon_d $和$\varepsilon_d$是最近邻偶极-偶极相互作用能,(b)在自旋玻璃相中,重叠参数近似由$\sqrt{1-T/T_c}$给出,以及(c)相关长度$ξ$在$T_c$处发散,具有临界指数$ν=1.5\pm0.5$;在二维中,$ξ$在T = 0处或附近发散,而$ν=3\pm1$。

英文摘要:

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 $ξ$ diverges at $T_c$ with a critical exponent $ν=1.5\pm0.5$; in two dimensions $ξ$ diverges at or near T=0 and $ν=3\pm1$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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