GaN/AlN量子阱中的准受限声子

Quasi-confined Optical Phonon Modes in Wurtzite GaN/AlN Quantum Wells

采用基于宏观介电连续模型的传递矩阵方法研究了任意层纤锌矿量子阱中的准受限声子,得出了任意层纤锌矿量子阱中的准受限声子的本征模解、色散关系;对GaN/AlN单量子阱和耦合量子阱中的准受限声子的色散关系进行了数值计算和讨论。实验发现在阱内的受限行为导致了波矢qz,j的量子化,并且准受限声子的色散随量子阶数m的减小而增强,由色散曲线组成的带随m的增加而变窄。

Within the framework of the dielectric-continuum model and Loudon＇s uniaxial crystal model, the dispersion relation of the quasi-confined optical phonon modes in an arbitrary wurtzite multilayer heterostructures is derived by using the transfer-matrix method. The analytical formulas can be directly applied to single quantum well （QW） and multiple quantum wells （QWs） and superlattices （SLs）.The dispersion relations of the quasi-confined phonons are investigated for GaN/A1N single QW and coupled QWs. It is found that the confinement of the quasi-confined phonons in the QW leads to a quantization of qe.j characterized by an integer m that defines the order of corresponding quasi-confined modes. The quasi-cont＇ined modes are more dispersive with decreasing m （i. e. for decreasing qe-j）, the bands formed by the dispersion curves are narrower for higher order quasi-confined modes.