Quantum interference in nanofractals and its optical manifestation
arXiv:cond-mat/0403748 · doi:10.1103/PhysRevB.69.115433
Abstract
We consider quantum interferences of ballistic electrons propagating inside fractal structures with nanometric size of their arms. We use a scaling argument to calculate the density of states of free electrons confined in a simple model fractal. We show how the fractal dimension governs the density of states and optical properties of fractal structures in the RF-IR region. We discuss the effect of disorder on the density of states along with the possibility of experimental observation.
19 pages, 6 figures