Crossover Behavior from Vector to Scalar Fractons in the Density of States of Percolating Networks

Abstract

Supercomputer simulations are performed in order to reveal characteristic features of vector fractons excited on very large two-dimensional percolating networks. It is found that the frequency region of the crossover from vector to scalar fractons in the density of states is rather broad. It is also confirmed that the vector fracton dimensionality \(\tilde{D}\) is close to 0.79, in accord with the scaling prediction.