ABSTRACT The states of a single dopant centre in zinc-blende GaN-based conical quantum dots with spherical cap are theoretically investigated by analytically solving the corresponding effective mass equation taking advantage of the localisation of the ionised impurity at the cone apex. Nonlinear optical response is analysed through the calculation of the coefficients of optical absorption, relative refractive index change, and second and third harmonic generation, for the chosen set of allowed electron-donor states. The behaviour of the calculated optical quantities under changes in the geometry of the system due to variations in apical width and quantum dot radius is analysed and discussed.

中文翻译：

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具有球帽的 GaN 锥形量子点中单一掺杂剂的线性和非线性光学特性

摘要 利用电离杂质在锥顶的定域性，通过解析求解相应的有效质量方程，从理论上研究了具有球冠的闪锌矿 GaN 基锥形量子点中单个掺杂剂中心的状态。对于所选择的一组允许的电子供体状态，通过计算光吸收系数、相对折射率变化以及二次和三次谐波生成来分析非线性光学响应。分析和讨论了由于顶端宽度和量子点半径的变化而导致系统几何形状发生变化时计算出的光学量的行为。