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Axial interface optical phonon modes in a double-nanoshell system

机译:双纳米壳系统中的轴向界面光子模式

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Within the framework of the dielectric continuum (DC) model, we analyze the axial interface optical phonon modes in a double system of nanoshells. This system is constituted by two identical equidistant nanoshells which are embedded in an insulating medium. To illustrate our results, typical II-VI semiconductors are used as constitutive polar materials of the nanoshells. Resolution of Laplace's equation in bispherical coordinates for the potentials derived from the interface vibration modes is made. By imposing the usual electrostatic boundary conditions at the surfaces of the two-nanoshell system, recursion relations for the coefficients appearing in the potentials are obtained, which entails infinite matrices. The problem of deriving the interface frequencies is reduced to the eigenvalue problem on infinite matrices. A truncating method for these matrices is used to obtain the interface phonon branches. Dependences of the interface frequencies on the ratio of inter-nanoshell separation to core size are obtained for different systems with several values of nanoshell interdistance. Effects due to the change of shell and embedding materials are also investigated in interface phonon modes.
机译:在介电连续体(DC)模型的框架内,我们分析了纳米壳双系统中的轴向界面光子声子模。该系统由嵌入绝缘介质中的两个相同的等距纳米壳构成。为了说明我们的结果,典型的II-VI半导体被用作纳米壳的构成极性材料。拉普拉斯方程在双球坐标系中的解析度是由界面振动模态得出的。通过在两纳米壳系统的表面上施加通常的静电边界条件,可以获得在电势中出现的系数的递归关系,这需要无限的矩阵。导出界面频率的问题被简化为无限矩阵上的特征值问题。这些矩阵的截断方法用于获得界面声子分支。对于具有几个纳米壳间距离值的不同系统,获得了界面频率对纳米壳间分离与核尺寸之比的依赖关系。在界面声子模式下,还研究了由于壳和嵌入材料的变化而引起的影响。

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