Branched structure of vibration spectrum of diamond type hierarchical lattices

Z.R. Yang

Physica A: Statistical Mechanics and its Applications, 1991, vol. 173, issue 1, 45-48

Abstract: In this letter the spectral structure of lattice vibrations of diamond type hierarchical lattices is studied. A novel feature is found that spectra form a branched structure associated with generations, in contrast with that of other regular fractals. We point out that it seems to be difficult to get a single spectral dimension to describe the scaling behaviour of the low- frequency density of states.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:173:y:1991:i:1:p:45-48

DOI: 10.1016/0378-4371(91)90249-C

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