Recent progress in fabricating high-quality conductors with small densities of defects has initiated studies of a viscous electron fluid and has motivated the search for evidence of a hydrodynamic regime of electron transport. In this Letter we come up with the spin imaging technique, which can allow to attest to the emergence of electron hydrodynamic flows. Using numerical calculations, we examine specific inhomogeneous distributions of the electron spin density injected in a sample with a Poiseuille flow of a viscous electron fluid. We also demonstrate that the Hanle curves (the dependencies of the electron spin on magnetic field) at different positions across the channel acquire relative phase shifts resulting from the space variation of the hydrodynamic velocity. The studied effects can be employed to detect and map a viscous electron fluid noninvasively.

中文翻译：

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粘性电子流体泊肃叶流的自旋成像

最近在制造具有小缺陷密度的高质量导体方面取得的进展已经启动了对粘性电子流体的研究，并激发了寻找电子传输流体动力学机制的证据。在这封信中，我们提出了自旋成像技术，它可以证明电子流体动力流的出现。使用数值计算，我们使用粘性电子流体的泊肃叶流检查注入样品中的电子自旋密度的特定不均匀分布。我们还证明了通道上不同位置的 Hanle 曲线（电子自旋对磁场的依赖性）获得了由流体动力学速度的空间变化引起的相对相移。