论文标题
微观结构中的超球边界电导和流体动力传输
Superballistic boundary conductance and hydrodynamic transport in microstructures
论文作者
论文摘要
结果表明，完美导电电极和电子液态状态之间的理想边界充当接触，其每单位区域的电导率高于数值系数$2α$的基本Sharvin电导，其中$α$略小于Unity，并且取决于系统的维度。如果边界具有有限的曲率，则会出现对边界电导的额外校正，这在参数上很小，因为电子电子平均自由路径长度是曲率的乘积。正常电流密度与电极和电子液体之间的电压的关系自身代表了可渗透到电流的边界的流体动力边界条件。通过Boltzmann方程的数值解决方案计算微结构中的电导率和电位分布，表明当达到流体动力传输状态时，边界电导的概念非常好。当设备电导率高于Sharvin电导率时，超级巴利斯的传输不仅可以在流体动力学方面实现，尽管要求电子电子散射必须比动量 - 重弹性散射更强。 Corbino磁盘的理论结果与最近的实验发现一致。
It is shown that the ideal boundary between a perfectly conducting electrode and electron liquid state acts as a contact whose conductance per unit area is higher than the fundamental Sharvin conductance by a numerical coefficient $2 α$, where $α$ is slightly smaller than unity and depends on the dimensionality of the system. If the boundary has a finite curvature, an additional correction to the boundary conductance appears, which is parametrically small as a product of the curvature by the electron-electron mean free path length. The relation of the normal current density to the voltage between the electrode and electron liquid represents itself a hydrodynamic boundary condition for current-penetrable boundary. Calculations of the conductance and potential distribution in microstructures by means of numerical solution of the Boltzmann equation show that the concept of boundary conductance works very good when the hydrodynamic transport regime is reached. The superballistic transport, when the device conductance is higher than the Sharvin conductance, can be realized in Corbino disk devices not only in the hydrodynamic regime, although requires that the electron-electron scattering must be stronger than the momentum-relaxing scattering. The theoretical results for Corbino disks are consistent with recent experimental findings.
