无序二维电子气的耗散和Hall粘性
Dissipative and Hall viscosity of a disordered 2D electron gas
摘要：
我们研究的耗散和霍尔粘度的无序无相互作用的二维电子，解析和数值。在分析上，我们采用自洽玻恩近似，明确考虑到修改的单粒子态密度和弹性输运时间由于朗道量子化。所报道的结果在弱（强）磁场和强（弱）无序的极限情况之间平滑地插值。在弱磁场条件下，我们的结果描述了耗散和Hall粘性的量子（de Haas-van Alphen型）振荡.在强磁场条件下，计算了耗散和霍尔粘性对朗道能级无序展宽的依赖关系。特别地，对于霍尔粘度，无序加宽的效果是弱的。这一理论结论与我们对几个最低朗道能级的数值计算结果一致，表明霍尔粘性对无序是鲁棒的。
英文摘要：
We study the dissipative and Hall viscosity of a disordered noninteracting 2D electrons, both analytically and numerically. Analytically, we employ the self-consistent Born approximation, explicitly taking into account the modification of the single-particle density of states and the elastic transport time due to the Landau quantization. The reported results interpolate smoothly between the limiting cases of weak (strong) magnetic field and strong (weak) disorder. In the regime of weak magnetic field, our results describes the quantum (de Haas-van Alphen type) oscillations of the dissipative and Hall viscosity. For strong magnetic field, we computed the dependence of the dissipative and Hall viscosity on disorder broadening of a Landau level. In particular, for the Hall viscosity the effect of the disorder broadening is weak. This theoretical conclusion is in agreement with our numerical results for a few lowest Landau levels, which show that Hall viscosity is robust to disorder.
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