R. Farchioni et al., RENORMALIZATION APPROACH FOR TRANSPORT AND ELECTRONIC-PROPERTIES OF CONDUCTING POLYMERS, Physical review. B, Condensed matter, 53(8), 1996, pp. 4294-4299
By means of the renormalization approach, we have developed a map that
allows us to investigate transport and electronic properties in polya
niline chains in terms of an effective lattice. This lattice may conta
in impurities of two kinds: the first has the form of a couple of site
s (dimer) with the same or different site energies according to the sy
mmetry of the rings of the polymer it simulates; the other can occur w
ithout constraint in the number of sites involved. In the case of more
sophisticated descriptions of the polymer, the dimer model can be ina
dequate and impurities of four sites have to be introduced in the map.
We compare the results for the scattering properties of a single impu
rity with those of a finite sample of the chain, and we show the depen
dence of the results on the energies assigned to the carbon and nitrog
en atoms of the polymer.