随机旋量场中的普适空间相关
Universal spatial correlations in random spinor fields
摘要：
我们确定了非平凡的自旋动力学系统的普遍空间波动。为此，我们通过精确的数值对角化计算各种实验相关的旋量振幅，自旋极化和自旋电流之间的相关性，无论是在散装和边界附近的一个封闭的二维清洁电子气中存在的自旋轨道相互作用和一个单一的磁性杂质。我们支持或声称的普遍性与良好的协议之间的数值结果和系统无关的空间相关性的随机场上定义的空间和自旋自由度。一个严格的身份，我们的普遍预测与响应函数提供了一个直接的物理解释，我们的结果在线性响应理论的框架。
英文摘要：
We identify universal spatial fluctuations in systems with non trivial spin dynamics. To this end we calculate by exact numerical diagonalization a variety of experimentally relevant correlations between spinor amplitudes, spin polarizations and spin currents both in the bulk and near the boundary of a confined two-dimensional clean electron gas in the presence of spin-orbit interaction and a single magnetic impurity. We support or claim of universality with the excellent agreement between the numerical results and system-independent spatial correlations of a random field defined on both the spatial and spin degrees of freedom. A rigorous identity relating our universal predictions with response functions provides a direct physical interpretation of our results in the framework of linear response theory.
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