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arXiv 1402.6116cond-mat.mes-hall
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核壳纳米线中电子气集体激发的对称性

Symmetries in the collective excitations of an electron gas in core-shell nanowires

Miquel Royo, Andrea Bertoni, Guido Goldoni

摘要:

研究了GaAs/AlGaAs同轴量子阱中电子气的集体激发和非弹性光散射截面。这些系统可以被设计成核-多壳纳米线,并继承下面的纳米线衬底的六边形对称性。结果,电子气分别在量子阱弯曲处和小平面处形成准1D通道和准2D通道。在RPA和TDDFT方法内进行计算。我们推导出对称性参数,允许枚举和分类收费和自旋激发,并确定是否激发可能生存朗道阻尼。我们还推导出不同散射几何形状的非弹性光散射选择规则。计算问题所产生的需要使用一个对称兼容的网格也进行了系统的研究。

英文摘要:

We study the collective excitations and inelastic light scattering cross-section of an electron gas confined in a GaAs/AlGaAs coaxial quantum well. These system can be engineered in a core-multi-shell nanowire and inherit the hexagonal symmetry of the underlying nanowire substrate. As a result, the electron gas forms both quasi 1D channels and quasi 2D channels at the quantum well bents and facets, respectively. Calculations are performed within the RPA and TDDFT approaches. We derive symmetry arguments which allow to enumerate and classify charge and spin excitations and determine whether excitations may survive to Landau damping. We also derive inelastic light scattering selection rules for different scattering geometries. Computational issues stemming from the need to use a symmetry compliant grid are also investigated systematically.

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