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Topological-Sector Fluctuations and Curie-Law Crossover in Spin Ice

机译:旋转冰中的拓扑部门涨落和居里定律交叉

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At low temperatures, a spin ice enters a Coulomb phase—a state with algebraic correlations and topologically constrained spin configurations. We show how analytical and numerical approaches for model spin-ice systems reveal a crossover between two Curie laws. One of these laws characterizes the high-temperature paramagnetic regime, while the other, which we call the “spin-liquid Curie law,” characterizes the low-temperature Coulomb-phase regime, which provides implicit evidence that the topological sector fluctuates. We compare our theory with experiment for Ho2Ti2O7, where this process leads to a nonstandard temperature evolution of the bulk susceptibility and the wave-vector-dependent magnetic susceptibility, as measured by neutron scattering. Theory and experiment agree for bulk quantities and at large scattering wave vectors, but differences at small wave vectors indicate that the classical spin-ice states are not equally populated at low temperatures. More generally, the crossover appears to be a generic property of the emergent gauge field for a classical spin liquid, and it sheds light on the experimental difficulty of measuring a precise Curie-Weiss temperature in frustrated materials. The susceptibility at finite wave vectors is shown to be a local probe of fluctuations among topological sectors on varying length scales.
机译:在低温下,自旋冰进入库仑相,这种状态具有代数相关性和受拓扑约束的自旋构型。我们展示了模型自旋冰系统的分析和数值方法如何揭示两个居里定律之间的交叉。这些定律之一是高温顺磁态的特征,另一定律(我们称为“自旋液体居里定律”)是低温库仑相态的特征,这提供了拓扑扇区波动的隐含证据。我们将我们的理论与Ho2Ti2O7的实验进行了比较,在该过程中,通过中子散射测量得出了磁化率和波矢量相关的磁化率的非标准温度演变。理论和实验都适用于大体积和大散射波矢量,但是小波矢量的差异表明,在低温下,传统的自旋冰状态分布不均。更一般而言,对于经典的自旋液体而言,交叉似乎是新兴标准场的通用属性,它揭示了在受挫材料中测量精确居里-魏斯温度的实验难度。有限波矢量处的磁化率表明是变化长度范围内拓扑扇区之间波动的局部探针。

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