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arXiv 0912.4160cond-mat.mes-hallcond-mat.mtrl-sci
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石墨烯三角形量子点上电子的精确波函数

Exact wave functions for an electron on a graphene triangular quantum dot

A. V. Rozhkov, Franco Nori

摘要:

我们将薛定谔方程的已知解推广到具有扶手椅型边界的三角形石墨烯量子点,薛定谔方程描述了被限制在三角形区域内的粒子。量子化条件,波函数,和本征能量的解析确定。作为应用,我们计算了由于量子点边缘的碳-碳键的畸变对量子点能级的修正。

英文摘要:

We generalize the known solution of the Schrödinger equation, describing a particle confined to a triangular area, for a triangular graphene quantum dot with armchair-type boundaries. The quantization conditions, wave functions, and the eigenenergies are determined analytically. As an application, we calculate the corrections to the quantum dot's energy levels due to distortions of the carbon-carbon bonds at the edges of the quantum dot.

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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