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首页> 外文期刊>Physical review >de Almeida-Thouless line studied using one-dimensional power-law diluted Heisenberg spin glasses
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de Almeida-Thouless line studied using one-dimensional power-law diluted Heisenberg spin glasses

机译：de Almeida-Thouless线使用一维幂律稀释的Heisenberg自旋眼镜进行研究

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摘要

We test for the presence or absence of the de Almeida-Thouless (AT) line using one-dimensional power-law diluted Heisenberg spin-glass model, in which the rms strength of the interactions decays with distance, r as l/r~σ. It is argued that varying the power σ is analogous to varying the space dimension d in a short-range model. For σ = 0.6, which is in the mean-field regime regime, we find clear evidence for an AT line. For σ = 0.85, which is in the non-mean-field regime and corresponds to a space dimension of close to 3, we find no AT line, though we cannot rule one out for very small fields. Finally for σ = 0.75, which is in the non-mean-field regime but closer to the mean-field boundary, the evidence suggests that there is an AT line, though the possibility that even larger sizes are needed to see the asymptotic behavior can not be ruled out.
机译：我们使用一维幂律稀释的Heisenberg自旋玻璃模型测试de Almeida-Thouless（AT）线的存在与否，其中相互作用的均方根强度随距离而衰减，r为l / r〜σ 。有人认为，改变功率σ类似于改变短程模型中的空间尺寸d。对于σ= 0.6（处于均场状态），我们找到了一条AT线的明确证据。对于σ= 0.85（处于非平均场状态，并且对应于接近3的空间尺寸），我们找不到AT线，尽管我们不能排除非常小的场。最后，对于σ= 0.75（处于非平均场状态，但更接近于平均场边界），证据表明存在一条AT线，尽管可能需要更大的尺寸才能看到渐近行为不排除。

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