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

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  • da Rocha, E.L.
  • da Cunha, C.R.

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.

Suggested Citation

  • da Rocha, E.L. & da Cunha, C.R., 2011. "The transition from fracton to phonon states in a Sierpinski triangle lattice," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 241-247.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:4:p:241-247
    DOI: 10.1016/j.chaos.2011.02.002
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    Cited by:

    1. Morales, R.V. & da Cunha, C.R. & Rambo, C.R., 2014. "A complex network approach for the growth of aerogels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 131-138.

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