斯托克斯平行四边形、背向反射和相互作用增强传导
Stokes Paradox, Back Reflections and Interaction-Enhanced Conduction
摘要：
电子系统中的相互作用可以导致粘性流，其中相关性允许电子避免无序散射，减少动量损失和耗散。我们说明了这种行为在一个粘性弹球模型，描述电子移动的存在下，稀释点状缺陷。电导率被发现服从添加剂关系$σ=σ_0+Δσ$，与非相互作用的德鲁德贡献$σ_0$和贡献$Δσ>0$描述由于相互作用的电导率增强。的数量$Δσ$是增强了一个巨大的因素，源于斯托克斯悖论在流体动力学的长度尺度，此外，从重复返回到同一个散射体的影响，由于背反射在载体载体碰撞发生在弹道的长度尺度。这些效应之间的相互作用在弹道-粘性转换时是必不可少的。
英文摘要：
Interactions in electron systems can lead to viscous flows in which correlations allow electrons to avoid disorder scattering, reducing momentum loss and dissipation. We illustrate this behavior in a viscous pinball model, describing electrons moving in the presence of dilute point-like defects. Conductivity is found to obey an additive relation $σ=σ_0+Δσ$, with a non-interacting Drude contribution $σ_0$ and a contribution $Δσ>0$ describing conductivity enhancement due to interactions. The quantity $Δσ$ is enhanced by a logarithmically large factor originating from the Stokes paradox at the hydrodynamic lengthscales and, in addition, from an effect of repeated returns to the same scatterer due to backreflection in the carrier-carrier collisions occurring at the ballistic lengthscales. The interplay between these effects is essential at the ballistic-to-viscous crossover.
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