论文标题

霍尔扩散异常和横向爱因斯坦关系

Hall diffusion anomaly and transverse Einstein relation

论文作者

Song, Justin C. W., Vignale, Giovanni

论文摘要

人们普遍认为,电子流体对机械力(例如电场)或对``统计力''(例如,化学电位的梯度)的当前响应受单个线性传输系数的控制 - 我们认为,在跨性别的材料中,我们认为这不是一个差异的材料。 {\ IT横向}爱因斯坦的关系,捕获了霍尔电导率和霍尔扩散常数之间的异常关系。

It is commonly believed that the current response of an electron fluid to a mechanical force (such as an electric field) or to a ``statistical force" (e.g., a gradient of chemical potential) are governed by a single linear transport coefficient - the electric conductivity. We argue that this is not the case in anomalous Hall materials. In particular, we find that transverse (Hall) currents manifest two distinct Hall responses governed by an unconventional {\it transverse} Einstein relation that captures an anomalous relation between the Hall conductivity and the Hall diffusion constant. We give examples of when the Hall diffusion anomaly is prominent, resulting in situations where the transverse diffusion process overwhelms the Hall conductivity and vice versa.

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