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arXiv 1402.5342cond-mat.mes-hall
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量子电荷输运中的散射非定域性:在半导体纳米结构中的应用

Scattering nonlocality in quantum charge transport: Application to semiconductor nanostructures

Roberto Rosati, Fausto Rossi

摘要:

我们的主要目标是提供一个严格的处理散射非局域性半导体纳米结构。一方面,从传统的密度矩阵公式出发,利用著名的Wigner函数图像作为研究半经典极限的理想工具,我们将对空间相关的Boltzmann方程进行完全量子力学推导。另一方面,我们将研究这种半经典框架的有效性限制,特别指出,在散射非局域性效应可能发挥相关作用的制度,为此,我们将补充我们的分析研究与一些模拟实验,讨论和进一步扩大散射诱导的量子扩散GaN基纳米材料的初步研究。对于光激发半导体中载流子-载流子弛豫的情况,我们的分析将表明简化的退相模型在描述声子诱导的散射非局域性方面的失败,指出这种限制对于准弹性耗散过程的情况尤其严重。

英文摘要:

Our primary goal is to provide a rigorous treatment of scattering nonlocality in semiconductor nanostructures. On the one hand, starting from the conventional density-matrix formulation and employing as ideal instrument for the study of the semiclassical limit the well-known Wigner-function picture, we shall perform a fully quantum-mechanical derivation of the space-dependent Boltzmann equation. On the other hand, we shall examine the validity limits of such semiclassical framework, pointing out, in particular, regimes where scattering-nonlocality effects may play a relevant role; to this end we shall supplement our analytical investigation with a number of simulated experiments, discussing and further expanding preliminary studies of scattering-induced quantum diffusion in GaN-based nanomaterials. As for the case of carrier-carrier relaxation in photoexcited semiconductors, our analysis will show the failure of simplified dephasing models in describing phonon-induced scattering nonlocality, pointing out that such limitation is particularly severe for the case of quasielastic dissipation processes.

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