电子通过周期性和随机势的二维流体动力学流动
Two-dimensional hydrodynamic electron flow through periodic and random potentials
AI总结：
本文研究二维电子在光滑周期与随机势中的流体动力学通道流动，揭示黏性与热电力竞争对电阻的决定作用，并分别得到线性于 T 和 T^(10/3) 的电阻率规律。
摘要：
我们研究了电子在二维光滑势能景观中的流体动力学流动，其中电流集中在沿渗流等势轮廓延伸的狭窄通道内。这些通道的宽度以及由此产生的电阻由黏性力和热电力之间的竞争决定。对于周期性（moiré）势，我们发现流体动力学流动为线性于 T 的电阻率提供了一条新途径。我们计算了具有 C3 和 C4 对称性的势的相关前置因子。另一方面，对于随机势，电阻率表现出性质上不同的行为，因为等势路径在其宽度减小时变得愈发曲折。该效应导致电阻率随温度按 T^(10/3) 增长。
英文摘要：
We study the hydrodynamic flow of electrons through a smooth potential energy landscape in two dimensions, for which the electrical current is concentrated along thin channels that follow percolating equipotential contours. The width of these channels, and hence the electrical resistance, is determined by a competition between viscous and thermoelectric forces. For the case of periodic (moiré) potentials, we find that hydrodynamic flow provides a new route to linear-in-$T$ resistivity. We calculate the associated prefactors for potentials with $C_3$ and $C_4$ symmetry. On the other hand, for a random potential the resistivity has qualitatively different behavior because equipotential paths become increasingly tortuous as their width is reduced. This effect leads to a resistivity that grows with temperature as $T^{10/3}$.
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