Published 1995 in Physical review. B, Condensed matter

We investigate the conventional tight-binding model of L π-electrons on a ring-shaped molecule of L atoms with nearest neighbor hopping. The hopping amplitudes, t(w), depend on the atomic spacings, w, with an associated distortion energy V (w). A Hubbard type on-site interaction as well as nearest-neighbor repulsive potentials can also be included. We prove that when L = 4k+2 the minimum energy E occurs either for equal spacing or for alternating spacings (dimerization); nothing more chaotic… CONTINUE READING

Rigorous results and open problems”, in Proceedings of 1993 conference in honor of G.F. Dell’Antonio, Advances in dynamical systems and quantum physics, World Scientific (in press) and in Proccedings