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

E. L. Da Rocha; C. R. Da Cunha

doi:10.1016/j.chaos.2011.02.002

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

E. L. Da Rocha, C. R. Da Cunha

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English (US)
Pages (from-to)	241-247
Number of pages	7
Journal	Chaos, Solitons and Fractals
Volume	44
Issue number	4-5
DOIs	https://doi.org/10.1016/j.chaos.2011.02.002
State	Published - May 2011
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2011.02.002

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title = "The transition from fracton to phonon states in a Sierpinski triangle lattice",

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.",

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AU - Da Cunha, C. R.

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N2 - 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.

AB - 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.

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M3 - Article

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ER -

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

Abstract

ASJC Scopus subject areas

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