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arXiv 2204.06004cond-mat.mtrl-sciphysics.comp-ph
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用电子流体力学探测载流子相互作用

Probing carrier interactions using electron hydrodynamics

Georgios Varnavides, Adam S. Jermyn, Polina Anikeeva, Prineha Narang

摘要:

电子流体动力学出现时,动量松弛散射过程是缓慢的动量守恒相比。虽然满足这一条件所需的微观细节是特定于材料的,但实验上可获得的电流密度具有显着的相似性。我们研究了电子流体动力学流动的依赖于动量弛豫和动量守恒散射过程中的微观不可知的方式。我们开发了一个框架,用于生成随机碰撞算子,尊重晶体对称性和守恒定律,并有一个可调的动量守恒和动量松弛寿命之间的比率。使用这些碰撞算子的各种随机实例,我们计算宏观电子粘度张量和解决玻尔兹曼输运方程(BTE)在一个网格的动量守恒和动量弛豫寿命的通道几何形状,并为不同的晶体对称群。我们发现,不同的随机碰撞算子使用相同的寿命产生非常相似的电流密度分布,这意味着电流密度主要是一个探针的整体动量守恒和弛豫率。相比之下,粘度张量在固定的寿命内变化很大,这意味着像沟道电阻这样的特性提供了对潜在散射过程的详细探测。这表明,虽然散射过程的细节是印在电子粘度张量,对于许多应用的流体动力学电子流的理论计算可以使用实验上可用的寿命内的空间分辨BTE框架,而不是需要昂贵的从头计算碰撞算子。

英文摘要:

Electron hydrodynamics arises when momentum-relaxing scattering processes are slow compared to momentum-conserving ones. While the microscopic details necessary to satisfy this condition are material-specific, experimentally accessible current densities share remarkable similarities. We study the dependence of electron hydrodynamic flows on the rates of momentum-relaxing and momentum-conserving scattering processes in a microscopics-agnostic way. We develop a framework for generating random collision operators which respect crystal symmetries and conservation laws and which have a tunable ratio between the momentum-conserving and momentum-relaxing lifetimes. Using various random instances of these collision operators, we calculate macroscopic electron viscosity tensors and solve the Boltzmann transport equation (BTE) in a channel geometry over a grid of momentum-conserving and momentum-relaxing lifetimes, and for different crystal symmetry groups. We find that different random collision operators using the same lifetimes produce very similar current density profiles, meaning that the current density is primarily a probe of the overall rates of momentum conservation and relaxation. By contrast, the viscosity tensor varies substantially at fixed lifetimes, meaning that properties like channel resistance provide detailed probes of the underlying scattering processes. This suggests that, while details of the scattering process are imprinted in the electronic viscosity tensor, for many applications theoretical calculations of hydrodynamic electron flows can use experimentally-available lifetimes within a spatially-resolved BTE framework rather than requiring the costly computation of ab initio collision operators.

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