Localization and Scaling Behavior of Polariton-Gap in Fibonacci and Symmetric Fibonacci-Class Piezomagnetic Superlattices(Condensed matter: electronic structure and electrical, magnetic, and optical properties)

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A comparative study is made on the localization and scaling behavior in piezomagnetic Fibonacci and symmetric Fibonacci-class [SFC(n)] superlattices. For this photon-phonon coupled system, the polaritonic band-gap structures and transmission spectra both show a pattern of self-similarity, the fractal pattern in transmission spectra clearly demonstrates the (quasi)localization nature of polaritons. For Fibonacci superlattices self-similarity behavior takes place between the lth and the (l+3)th generations, the scaling index α'=τ^3=4.236 with τ=0.5(√<5>+1) denoting the golden mean. While for the generalized symmetric Fibonacci-class [SFC(n)] superlattices, self-similarity behavior occurs between the lth and the (l+1)th generations and the scaling index α"=0.5(n+√<n^2+4>). We conclude that the internal symmetric structure is responsible for the evolution of such scaling behavior.
社団法人日本物理学会の論文
2008-03-15