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arXiv 1809.09062cond-mat.mes-hall
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[001]和[111]取向量子点中空穴态的自旋轨道耦合和自旋弛豫

Spin-orbit coupling and spin relaxation of hole states in [001]- and [111]-orientedquantum dots of various geometry

Krzysztof Gawarecki, Mateusz Krzykowski

摘要:

本文研究了自旋轨道耦合对生长在[001]和[111]取向衬底上的InAs/GaAs量子点中空穴态的影响。我们研究了各种自旋轨道机制对s-和p-壳层态之间耦合强度的影响,这是量子点中一个重要的自旋翻转通道。我们计算了最低塞曼二重态之间的自旋弛豫速率,并表明[111]取向的结构比通常的[001]取向的自组装量子点提供了一个数量级的慢弛豫。用多带(最多14个带)k.p模型计算了空穴态的磁场依赖性。我们确定的不可约表示链接到国家和讨论的选择规则,这管理避免交叉模式的磁场依赖的能级。我们发现,占主导地位的贡献,这些国家之间的耦合来自剪切应变。另一方面,我们证明了在[111]取向的结构中s-和p-壳层态之间没有耦合。

英文摘要:

We study the influence of spin-orbit coupling on the hole states in InAs/GaAs quantum dots grown on [001]- and [111]-oriented substrates belonging to symmetry point groups: C2v, C3v and D2d. We investigate the impact of various spin-orbit mechanisms on the strength of coupling between s- and p-shell states, which is a significant spin-flip channel in quantum dots. We calculate spin relaxation rates between the states of lowest Zeeman doublet and show that the [111]-oriented structure offers one order of magnitude slower relaxation compared to the usual [001]-oriented self-assembled QD. The magnetic-field dependence of the hole states is calculated using multiband (up to 14 bands) k.p model. We identify the irreducible representations linked to the states and discuss the selection rules, which govern the avoided-crossing pattern in magnetic-field dependence of the energy levels. We show that dominant contribution to the coupling between some of these states comes from the shear strain. On the other hand, we demonstrate no coupling between s- and p-shell states in the [111]-oriented structure.

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