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Resistance of one-dimensional quasicrystals

Author

Listed:
  • Iochum, B.
  • Raymond, L.
  • Testard, D.

Abstract

One-dimensional quasiperiodic systems are often based on an inflation rule giving rise to a recursion formula on the transfer matrices. It is shown in a general setting, that the norm growth of these matrices can be evaluated. A consequence is, for instance, a purely critical regime (namely polynomial bounds in function of the sample size) for the electrical resistance, when the energy is in the spectrum. This solves a conjecture by Sutherland and Kohmoto.

Suggested Citation

  • Iochum, B. & Raymond, L. & Testard, D., 1992. "Resistance of one-dimensional quasicrystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 353-368.
    • Handle: RePEc:eee:phsmap:v:187:y:1992:i:1:p:353-368
    DOI: 10.1016/0378-4371(92)90426-Q
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    References listed on IDEAS

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    1. Diekmann, Berend, 1990. "Zweckbindung von Umweltabgaben?," Wirtschaftsdienst – Zeitschrift für Wirtschaftspolitik (1949 - 2007), ZBW - Leibniz Information Centre for Economics, vol. 70(9), pages 457-462.
    2. 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.
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