The transition from fracton to phonon states in a Sierpinski triangle lattice

E.L. da Rocha and C.R. da Cunha

Chaos, Solitons & Fractals, 2011, vol. 44, issue 4, 241-247

Abstract: Lattice dynamics of a Sierpinski triangle submitted to different levels of disorder was studied via atomistic Green’s functions. It was found that there is a critical level of disorder that separates two regions of thermal transport. The first is characterized by a fast destruction of fracton states and the formation of spatially extended phonon states. The second region is characterized by a transition from extended to localized phonon states as predicted by the Anderson model.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:4:p:241-247

DOI: 10.1016/j.chaos.2011.02.002

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