Extended Fractons and Localized Phonons on Percolation Clusters
Extended Fractons and Localized Phonons on Percolation Clusters
复制标题
渗流簇上的扩展分形子和局域声子
DOI：
10.1103/physrevlett.81.4907
复制
发表时间：
1998
影响因子：
8.6
通讯作者：
L. Schweitzer
中科院分区：
文献类型：
--
作者：
J. Kantelhardt;A. Bunde;L. Schweitzer
用能级统计方法研究了临界浓度以上无限渗流团簇振动模在二维和三维的局域化行为。我们发现所有本征态都定域在d=2，包括低频声子态。在d=3中，我们得到了局域-离域转变的证据。但与通常的观点相反，这种转变发生在声子分数态以上的频率上，导致了一种新的扩展分数子态的制度。
We investigate the localization behavior of vibrational modes of infinite percolation clusters above the critical concentration in two and three dimensions using the method of level statistics. We find that all eigenstates are localized in d=2, including the low frequency phonon states. In d=3 we obtain evidence for a localization-delocalization transition. But contrary to the common view this transition occurs for frequencies above the phonon fracton crossover giving rise to a new regime of extended fracton states.