We study the 1D model of conduction electrons interacting with local vibronic modes. States in the conduction band are two-fold degenerate both in orbital index and spin. It is shown that such 1D system has a strong tendency to superconductivity. The superconducting pairing originates from coupling of two charge density waves; the scaling dimension of the order parameter is close to 1/4.
@article{arxiv.cond-mat/9502023,
title = {Superconducting Instability in a 1D lattice of Berry Phase Molecules},
author = {D. Shelton and A. M. Tsvelik},
journal= {arXiv preprint arXiv:cond-mat/9502023},
year = {2007}
}