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An exact renormalization-group approach for local phonon properties of single-atom and double-atom generalized Fibonacci systems

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Zeitschrift für Physik B Condensed Matter

Abstract

We present an exact renormalization-group approach to study the local phonon properties of the double-atom generalized Fibonacci systems in which the masses and spring constants are all associated with the aperiodic sequences constructed by the inflation rule: {A, B}→{A n Bm, A}.n(m+1) basic transformations and 2n(n+m−1)+1 basic decimations are introduced. By applying the combinations of derived transformations and decimations, we can determine exactly the renormalized local environment, up to infinite order, of any given site in the double-atom systems. Both the single-atom and double-atom phonon models are employed, and the local density of states in several sites of some generalized Fibonacci systems are numerically calculated.

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Authors and Affiliations

  1. World Laboratory, China Center of Advanced Science and Technology, P.O. Box 8730, 100080, Beijing, People's Republic of China

    X. H. Yan, J. R. Yan, J. X. Zhong & J. Q. You

  2. Laboratory of Atomic Imaging of Solids, Institute of Metal Research, Chinese Academia Sinica, 72 Wenhua Road, 110015, Shenyang, People's Republic of China

    X. H. Yan & J. Q. You

  3. Laboratory of Modern Physics, Institute of Science and Technology, Xiangtan University, 41105, Xiangtan, People's Republic of China

    X. H. Yan, J. R. Yan, J. X. Zhong, J. Q. You & Y. P. Mei

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  1. X. H. Yan
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  2. J. R. Yan
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  3. J. X. Zhong
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  4. J. Q. You
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  5. Y. P. Mei
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Yan, X.H., Yan, J.R., Zhong, J.X. et al. An exact renormalization-group approach for local phonon properties of single-atom and double-atom generalized Fibonacci systems. Z. Physik B - Condensed Matter 91, 467–474 (1993). https://doi.org/10.1007/BF01316825

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  • DOI: https://doi.org/10.1007/BF01316825

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