Resistance of one-dimensional quasicrystals

B. Iochum, L. Raymond and D. Testard

Physica A: Statistical Mechanics and its Applications, 1992, vol. 187, issue 1, 353-368

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:187:y:1992:i:1:p:353-368

DOI: 10.1016/0378-4371(92)90426-Q

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