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• W2012592431 endingPage "15016" @default.
• W2012592431 startingPage "15004" @default.
• W2012592431 abstract "We consider the tight-binding Hamiltonian on strongly modulated aperiodic chains (e.g., quasiperiodic, self-similar, random). The site energies are distributed according to a given binary sequence (${mathit{V}}_{mathit{n}}$=ifmmodepmelsetextpmfi{}V), the hopping integral t being a constant. We investigate the strong-modulation regime (Vensuremath{gg}t) by means of degenerate perturbation theory. We thus derive systematic expansions in powers of t/V for the spectrum, the density of states, and other quantities of interest, like the total electronic binding energy. This investigation goes beyond the molecular approximation; it amounts to exploring recursively the pattern of resonances between molecular states along the structure, which can be either ``local'' or ``itinerant.'' The approach is worked out in detail on several classical examples of self-similar chains: Fibonacci, Thue-Morse, period doubling. The hierarchy of gaps thus obtained is put in perspective with the rigorous gap-labeling theory; the quantitative predictions for the density of states and the binding energy are extensively compared with numerical data." @default.
• W2012592431 created "2016-06-24" @default.
• W2012592431 creator A5062266428 @default.
• W2012592431 creator A5073182486 @default.
• W2012592431 date "1994-06-01" @default.
• W2012592431 modified "2023-10-14" @default.
• W2012592431 title "Electronic spectra of strongly modulated aperiodic structures" @default.
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• W2012592431 doi "https://doi.org/10.1103/physrevb.49.15004" @default.
• W2012592431 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/10010604" @default.
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