相关双层结构中的局域化：从光子晶体到超材料和电子超晶格
Localization in Correlated Bi-Layer Structures: From Photonic Cristals to Metamaterials and Electron Superlattices
摘要：
我们采用统一的方法研究了平均周期性双层光子晶体、超材料和电子超晶格的输运性质。我们的考虑是基于弱波动的层的宽度的情况下，也考虑到可能的相关性在混乱的本地化长度的解析表达式。我们分析了相关性如何导致异常性质的运输。特别是，我们表明，四分之一堆栈分层介质的特定相关性可以导致在所有光谱带的李雅普诺夫指数的$ω^2$依赖。
英文摘要：
In a unified approach, we study the transport properties of periodic-on-average bi-layered photonic crystals, metamaterials and electron superlattices. Our consideration is based on the analytical expression for the localization length derived for the case of weakly fluctuating widths of layers, that also takes into account possible correlations in disorder. We analyze how the correlations lead to anomalous properties of transport. In particular, we show that for quarter stack layered media specific correlations can result in a $ω^2$-dependence of the Lyapunov exponent in all spectral bands.
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