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

A. V. Rozhkov; Franco Nori

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

机译：石墨烯三角形量子点上电子的精确波函数

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摘要

We generalize the known solution of the Schroedinger 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.

机译：我们推广了Schroedinger方程的已知解，它描述了一个具有扶手椅型边界的三角形石墨烯量子点的粒子，该粒子局限于一个三角形区域。量化条件，波函数和本征能通过解析确定。作为一种应用，我们计算由于量子点边缘的碳-碳键变形而对量子点的能级进行的校正。

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来源
《Physical review》 |2010年第15期|155401.1-155401.13|共13页
作者
A. V. Rozhkov; Franco Nori;
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作者单位

Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, 125412 Moscow, Russia Advanced Science Institute, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama 351-0198, Japan;

rnAdvanced Science Institute, The Institute of Physical and Chemical Research (RIKEN), Wako-shi, Saitama 351-0198, Japan Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109-1040, USA;

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正文语种 eng
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关键词
quantum dots; single particle states;

机译：量子点;单粒子态;

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

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