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arXiv 1111.0717cond-mat.mes-hallcond-mat.mtrl-sci
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Si/SiGe单量子点和垂直耦合双量子点中三电子的能谱

Energy spectra of three electrons in Si/SiGe single and vertically coupled double quantum dots

Z. Liu, L. Wang, K. Shen

摘要:

我们研究了Si/SiGe单量子点和垂直耦合双量子点中的三电子能谱,其中明确地考虑了塞曼分裂、自旋轨道耦合、谷耦合和电子-电子库仑相互作用等相关效应。在没有磁场的情况下,我们在单量子点中的结果与Borselli { \em et al.} [Appl. Phys. Lett. { \bf 98},123118(2011)]。我们确定的自旋和谷配置的基态在实验情况下,并给出了一个完整的相图般的图片的基态配置相对于点的大小和谷分裂。我们还明确地调查了三电子的能量谱的纯谷配置和混合磁场在法拉第和Voigt配置。我们发现,通过调节磁场和/或量子点的大小,基态可以在二重态和四重态之间切换。由于自旋轨道耦合,三电子能谱在不同自旋态之间呈现出许多反交叉点,这些反交叉点将有利于自旋操纵。我们发现,可以忽略不计的小谷间库仑相互作用可以导致磁场无关的四重态的混合谷配置的三电子能谱的简并。此外,我们还研究了垂直耦合双量子点中的势垒宽度和势垒高度依赖关系。与单量子点的情况类似,观察到了反交叉行为和四重态-二重态简并。

英文摘要:

We study three-electron energy spectra in Si/SiGe single and vertically coupled double quantum dots where all the relevant effects, such as, the Zeeman splitting, spin-orbit coupling, valley coupling and electron-electron Coulomb interaction are explicitly included. In the absence of magnetic field, our results in single quantum dots agree well with the experiment by Borselli {\em et al.} [Appl. Phys. Lett. {\bf 98}, 123118 (2011)]. We identify the spin and valley configurations of the ground state in the experimental cases and give a complete phase-diagram-like picture of the ground state configuration with respect to the dot size and valley splitting. We also explicitly investigate the three-electron energy spectra of the pure and mixed valley configurations with magnetic fields in both Faraday and Voigt configurations. We find that the ground state can be switched between doublet and quartet by tuning the magnetic field and/or dot size. The three-electron energy spectra present many anticrossing points between different spin states due to the spin-orbit coupling, which are expected to benefit the spin manipulation. We show that the negligibly small intervalley Coulomb interaction can result in magnetic-field independent quartet-doublet degeneracy in the three-electron energy spectrum of the mixed valley configuration. Furthermore, we study the barrier-width and barrier-height dependences in vertically coupled double quantum dots with both pure and mixed valley configurations. Similar to the single quantum dot case, anticrossing behavior and quartet-doublet degeneracy are observed.

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