We present a new idea for a route towards small band gap polymers. First pr
inciples DFT calculations show that anti-aromatic molecules, such as pental
ene and s-indacene, are ideally suited to construct polymers which could ev
en be intrinsically metallic. The electronic structure of such polymers is
characterized by a band crossing at the Fermi level between a relatively fl
at band consisting of nonbonding pi -states and a regular pi -band. Isoelec
tronic substitution of CH groups by nitrogen atoms shifts the bands around
the Fermi level, creating semiconductors with band gaps close to 1 eV.