Scaling and localization of polaritonic states in piezoelectric Fibonacci superlattices
Scaling and localization of polaritonic states in piezoelectric Fibonacci superlattices
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DOI：
10.1103/physrevb.72.134304
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发表时间：
2005-10
影响因子：
3.7
通讯作者：
Zhenxing Liu;Weiyi Zhang
中科院分区：
文献类型：
--
作者：
Zhenxing Liu;Weiyi Zhang
利用广义4$转移矩阵方法研究了压电Fibonacci超晶格中极化激元态的标度和局域化性质.电磁波和声波的动力学被同等对待。极化激元的能带结构和透射光谱都具有Cantorset的模式。标度参数${\ensuremath{\alpha}}^{\ensuremath\'}}=4.236$与以前对纯电子和声子Fibonacci超晶格的研究结果一致。此外，透射谱的分形性质作为极化激元的（准）局域化，这应该是在实验中观察到的证明。
The scaling and localization properties of polaritonic states in piezoelectric Fibonacci superlattices are studied using the generalized $4\ifmmode\times\else\texttimes\fi{}4$ transfer matrix method. The dynamics of electromagnetic waves and acoustic waves is treated on equal footing. Both polaritonic band structures and transmission spectra possess the pattern of the Cantorset with respect to generations. The scaling parameter ${\ensuremath{\alpha}}^{\ensuremath{'}}=4.236$ is in agreement with the previous studies on pure electronic and phononic Fibonacci superlattices. Furthermore, the fractal nature of the transmission spectra serves as a proof for the (quasi)localization of polaritons which should be observable in experiments.