Coulomb electron pairing in a tight-binding model of La-based cuprate superconductors

We study the properties of two electrons with Coulomb interactions in a tight-binding model La-based cuprate superconductors. This is characterized by long-ranged hopping obtained previously advanced quantum chemistry computations. show analytically and numerically that repulsion leads to formation compact pairs propagating through whole system. The mechanism pair related emergence an effective narrow energy band for electron conserved total momentum. dependence probability on filling factor maximum around 20 (or 80) percent. comparison case nearest neighbor shows provides increase phase space volume high probability. conjecture discussed here may play role temperature superconductivity.