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arXiv 0804.3191cond-mat.mes-hallcond-mat.mtrl-sci
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垂直柱形量子点的精确模型

Accurate Model of a Vertical Pillar Quantum Dot

P. A. Maksym, Y. Nishi, D. G. Austing, T. Hatano, L. P. Kouwenhoven, H. Aoki, S. Tarucha

摘要:

描述了一种垂直柱状量子点的精确模型。考虑到包含点的设备的完整三维结构,这导致有效的二维模型,其中电子在两个横向维度中移动,约束是抛物线的,并且相互作用势与裸库仑势非常不同。从器件结构和几个可调参数中找到了可能性。数值稳定的相互作用势的计算程序进行了详细说明,并从实验附加能量和化学势数据推导参数值的程序进行了说明。该模型是能够解释磁场依赖的附加能量和化学势的数据为一个单独的点的精度约为5%,需要确定基态量子数从实验传输数据的精度水平。应用激发态运输数据也进行了说明。

英文摘要:

An accurate model of a vertical pillar quantum dot is described. The full three dimensional structure of the device containing the dot is taken into account and this leads to an effective two dimensional model in which electrons move in the two lateral dimensions, the confinement is parabolic and the interaction potential is very different from the bare Coulomb potential. The potentials are found from the device structure and a few adjustable parameters. Numerically stable calculation procedures for the interaction potential are detailed and procedures for deriving parameter values from experimental addition energy and chemical potential data are described. The model is able to explain magnetic field dependent addition energy and chemical potential data for an individual dot to an accuracy of about 5%, the accuracy level needed to determine ground state quantum numbers from experimental transport data. Applications to excited state transport data are also described.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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