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

被引：6

作者：

da Rocha, E. L. ^{[1
]}

da Cunha, C. R. ^{[1
]}

机构：

[1] Univ Fed Santa Catarina, Dept Engn Eletr, BR-88040900 Florianopolis, SC, Brazil

来源：

CHAOS SOLITONS & FRACTALS | 2011年 / 44卷 / 4-5期

关键词：

DYNAMICS;

D O I：

10.1016/j.chaos.2011.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：241 / 247

页数：7

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