论文标题
异常的大厅电导率和量子摩擦
Anomalous Hall conductivity and quantum friction
论文作者
论文摘要
使用二维网络模型研究了非常干净的样品(高电导率制度)中的异常霍尔效应。我们发现,离子电导率包括两个部分:一个反映了Kubo公式所获得的散装特性,而另一个对施加在网络上的边界条件敏感的散装特性。后者在理想情况下和实际样品中具有系统宽度的尺度,这将取决于相干长度。它为观察到的行为提供了一种替代解释,否则这归因于偏斜散射。我们强调了负责COUETTE流动的粘性流体中摩擦的类比。
Anomalous Hall effect in very clean samples (high conductivity regime) is studied using a two-dimensional network model. We find that the off-diagonal conductivity comprises two parts: one which reflects the bulk properties as obtained by the Kubo formula and another which is sensitive to boundary conditions imposed on the network. The latter scales with the system width in the ideal case and for real-world samples, it will depend on the coherence length. It provides an alternative interpretation of the observed behaviour in the clean limit which is otherwise attributed to the skew scattering. We highlight analogies to friction in viscous fluids responsible for Couette flow.