Polarization-induced pairing in high-temperature superconductivity

We propose a mechanism for the pairing of electrons at the copper sites on the spine of quasi-one-dimensional Cu-O chains induced by the electronic polarization of the oxygen atoms in the side chains. We use a model Hamiltonian for a cluster of Cu-O chains and calculate the various correlation functions for a wide range of parameters. We examine the conditions for the onset of polarization-induced pairing states. Our results may be relevant to high-$T_c$ superconductor $\mathrm{Y}{\mathrm{Ba}}_2{\mathrm{Cu}}_3{\mathrm{O}}_{7-x}$.