We present an exact real-space renormalization-group approach to study the electronic and vibrational properties of the Vicsek fractal. This approach is developed in the framework of the recursive evaluation of the generating function, which efficiently gives the average density of states (ADOS). The ADOS spectrum consists of hierarchies of isolated peaks following elegant recursive structural rules.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Physics and Astronomy(all)