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arXiv 2006.12396cond-mat.mes-hall
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二维窄导体磁电阻中经典尺寸效应和电子粘滞性的表现:理论和实验

Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment

O. E. Raichev, G. M. Gusev, A. D. Levin, A. K. Bakarov

摘要:

我们开发了一个经典的动力学理论的磁输运的二维电子在窄通道与部分扩散边界散射,并将其应用于描述的磁阻测量的温度区间4.2-30 K的长细观棒制作的高纯GaAs量子阱结构。实验和理论都证明了由于运输的高弹道性而引起的二维尺寸效应在纵向和霍尔电阻中的一些特征。除了前面描述的功能,我们还揭示了一个变化的斜率的一阶导数的磁阻时,回旋轨道直径等于一半的通道宽度。由于电子-电子相互作用引起的电子粘性,这些特征随着温度的升高而被抑制。通过理论与实验的比较,确定了电子-电子散射引起的电子角分布弛豫的特征时间。

英文摘要:

We develop a classical kinetic theory of magnetotransport of 2D electrons in narrow channels with partly diffusive boundary scattering and apply it to description of magnetoresistance measured in the temperature interval 4.2-30 K in long mesoscopic bars fabricated from high-purity GaAs quantum well structures. Both experiment and theory demonstrate a number of characteristic features in the longitudinal and Hall resistances caused by the size effect in two dimensions owing to the high ballisticity of the transport. In addition to the features described previously, we also reveal a change in the slope of the first derivative of magnetoresistance when the cyclotron orbit diameter equals to half of the channel width. These features are suppressed with increasing temperature as a result of the electronic viscosity due to electron-electron interaction. By comparing theory and experiment, we determine the characteristic time of relaxation of angular distribution of electrons caused by electron-electron scattering.

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