N. Olivitran et al., ELECTRONIC SPECTRAL DIMENSION OF A FRACTAL AGGREGATE TAKING ACCOUNT OF HYBRIDIZATION, Journal of physics. Condensed matter, 9(14), 1997, pp. 225-229
We have built fractal aggregates with tunable fractal dimension on a h
exagonal lattice to represent the carbon atoms in the sp(2) hybridizat
ion. A random walk was performed on these aggregates, which takes acco
unt of the hybridization via the modified Huckel method. We obtain res
ults for the sigma hybridization for the spectral dimension calculatio
ns, which are the same as those obtained with a simple random walk on
a quadratic lattice.