Abstract

The stress-strain relationship, anisotropy, heavy- and light-hole structures, and the Phillips ionicity in GaAs are theoretically investigated by Bond matrices model as well as Zener and Every anisotropies. The results show that there is a simple correspondence between anisotropy and the extreme directions of these physical properties, i.e., [0 0 1], [1 1 0] and [1 1 1] directions. Meanwhile the lattice wave propagation, phonon focusing, and phonon distributions in GaAs are also theoretically studied in detail based on lattice-dynamical method. The slowness surface of three lattice waves are the mixing of longitudinal and transverse modes. The feature is that the lattice waves, saddle Gaussian curvatures, and caustic structures are modulated by the anisotropy. The topology in phonon distribution is discussed by the presence of caustics in the anisotropic flux of phonons emanating from a localized phonon distribution. Their topological structures show the phonon distribution and the phonon focusing. The anisotropy not only affects lattice wave propagation and phonon distribution, but influences the phonon focusing.

Graphical abstract

中文翻译：

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各向异性影响GaAs中的晶格波和声子分布

摘要

通过Bond矩阵模型以及齐纳和每个各向异性理论研究了GaAs中的应力-应变关系，各向异性，重孔和轻孔结构以及Phillips离子性。结果表明，各向异性与这些物理属性的极端方向（即[0 0 1]，[1 1 0]和[1 1 1]方向）之间存在简单的对应关系。同时，还基于晶格动力学方法对GaAs中的晶格波传播，声子聚焦和声子分布进行了理论研究。三个晶格波的慢速表面是纵向和横向模态的混合。特征是晶格波，鞍形高斯曲率和苛性结构受各向异性影响。声子分布中的拓扑是通过局部声子分布产生的声子各向异性通量中的苛性碱的存在来讨论的。它们的拓扑结构显示了声子分布和声子聚焦。各向异性不仅影响晶格波的传播和声子的分布，而且影响声子的聚焦。

图形概要