标题： 中等磁场下二维粘性电子流的非线性流动 显示英文标题

标题： Non-linear flow of two-dimensional viscous electron fluid in moderate magnetic fields

摘要： 在二维电子系统中，粒子间的相互作用能够导致粘性电子流体的形成，并实现电子输运的流体动力学（hydrodynamic）状态。 这里基于对电子动力学中成对关联的考虑，构建了一个非线性的电子流体动力学输运模型。 当用经典动力学描述这些系统时，这种关联表现为相同电子因暂时配对而产生的后续“扩展”碰撞。 我们研究了它们对长样品中大振幅流体流动下的稳态磁输运的影响。 计算了非线性状态下电流分布以及相应的微分磁阻。 成对关联导致微分电阻对磁场呈现出特征性的非单调依赖关系。 我们将结果与高纯度GaAs量子阱中二维电子的磁阻实验数据进行了比较；我们的模型可以解释所观测到的部分微分磁阻特性。 显示英文摘要

摘要： In two-dimensional (2D) electron systems, the inter-particle interaction can lead to the formation of a viscous electron fluid and realization of the hydrodynamic regime of electron transport. Here a nonlinear model of the electron hydrodynamic transport is constructed based on the accounting of pair correlations in the electron dynamics. When describing these systems within the framework of classical kinetics, such correlations represent subsequent ``extended'' collisions of the same electrons temporarily joined into pairs. We study their influence on stationary magnetotransport for large-amplitude fluid flows in long samples. Current profiles in the nonlinear regime and the corresponding differential magnetoresistance are calculated. Pair correlations lead to a characteristic nonmonotonic dependence of the differential resistance on magnetic field. We compare our results with experimental data on magnetoresistance of 2D electrons in high-purity GaAs quantum wells; our model can be responsible for a part of the observed features of the differential magnetoresistance.