论文标题

通过层析成像电子流体中的回流孔回流进行超筛

Superscreening by a Retroreflected Hole Backflow in Tomographic Electron Fluids

论文作者

Hong, Qiantan, Davydova, Margarita, Ledwith, Patrick J, Levitov, Leonid

论文摘要

电子流体力学产生了令人惊讶的相关行为,在这种行为中,电子“合作”以消除耗散并减少维持流动所需的电场。这种集体的“自由”流通常在超过电子电子散射的流体动力长度尺度上预期,均值自由路径$ \ ell _ {\ rm ee} $。在这里,我们预测,在二维电子气体中,集体自由流实际上发生在距$ \ ell _ {\ rm ee} $的距离上,这是一个名义上的弹道制度。子 - $ \ ell _ {\ rm ee} $自由流是由于源自正面电子电子冲突的反射孔而出现的,该孔恢复了撞击电子并取消其潜力的路径。在Corbino几何形状中获得的精确溶液预测了通过孔回流强烈筛选的电势。筛选电位由分数幂定律$ r^{ - 5/3} $在较宽的$ r $值范围内,从宏观到深sub-$ \ ell _ {\ rm ee} $ scales和独特的非fermi-liquid温度依赖性。

Electron hydrodynamics gives rise to surprising correlated behaviors in which electrons "cooperate" to quench dissipation and reduce the electric fields needed to sustain the flow. Such collective "free" flows are usually expected at the hydrodynamic lengthscales exceeding the electron-electron scattering mean free path $\ell_{\rm ee}$. Here we predict that in two-dimensional electron gases the collective free flows actually occur at the distances much smaller than $\ell_{\rm ee}$, in a nominally ballistic regime. The sub-$\ell_{\rm ee}$ free flows arise due to retroreflected holes originating from head-on electron electron collisions, which retrace the paths of impinging electrons and cancel out their potential. An exact solution, obtained in Corbino geometry, predicts potential strongly screened by the hole backflow. Screened potential is described by a fractional power law $r^{-5/3}$ over a wide range of $r$ values, from macroscales down to deep sub-$\ell_{\rm ee}$ scales, and a distinct non-Fermi-liquid temperature dependence.

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