On the one-dimensional electron system with the plasmon-mediated interparticle interaction

The possibility of superconducting and insulating instability is examined in the one-dimensional electron sg;stem with Coulomb interparticle interaction that is evaluated in the plasmon-pole approximation. The insulating instability appears to dominate strongly over possible superconductive effects. The dependence of its mean-field transition temperature on the band width is presented in graphic form for various degrees of band filling and the free-particle energy spectrum as vc ell as the tight-binding energy spectrum is considered.