Abstract
The spectral properties of a -dimensional bond-percolating network have been examined by real-space rescaling methods. Both the triangular and face-centered-cubic lattices have been studied with the -dimensional Sierpinski gasket used to model the backbone. The vibrational density of states has been calculated as a function of and we find that two excitation regimes exist which are characterized by two separate dimensionalities. There is a low-frequency phonon regime and a higher-frequency fracton regime. The specific heat exhibits a smooth crossover from phonon to fracton behavior as a function of .
- Received 24 May 1985
DOI:https://doi.org/10.1103/PhysRevLett.55.966
©1985 American Physical Society