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Transmission fingerprints of quasi-periodic chains

Author

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  • de Oliveira, P.M.C.
  • Albuquerque, E.L.
  • Mariz, A.M.

Abstract

We propose a method to characterize quasi-periodic chains, based on the transmission probabilities. We consider finite layers which are building up following the Fibonaci, Thue-Morse and Cantor sequences. The spectra show an undoubtedly fractal behavior, with a distinct appearence for each chain. Furthermore, we construct return maps which present the same characteristic attractor for all peaks of energies within the same kind of chain.

Suggested Citation

  • de Oliveira, P.M.C. & Albuquerque, E.L. & Mariz, A.M., 1996. "Transmission fingerprints of quasi-periodic chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 206-212.
    • Handle: RePEc:eee:phsmap:v:227:y:1996:i:3:p:206-212
    DOI: 10.1016/0378-4371(96)00004-0
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    1. Cahn, Anne H., 1984. "Mimicking Sisyphys: America's Countervailing Nuclear Strategy. By Louis Rene Beres. (Lexington, Mass.: D.C. Heath, 1983. Pp. xiii + 142. $19.95, cloth; $7.95, paper.)," American Political Science Review, Cambridge University Press, vol. 78(1), pages 265-265, March.
    2. Igor Birman, 1986. "A note on Soviet foreign trade gains," Europe-Asia Studies, Taylor & Francis Journals, vol. 38(4), pages 586-589.
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    Cited by:

    1. Bezerra, C.G. & Albuquerque, E.L., 1997. "Spin waves in quasi-periodic magnetic superlattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 379-392.

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