A Simple Model for Superconductor-Semiconductor Transition

Abstract

A simple model is presented to describe superconductor-semiconductor phase transition for a binary alloy system. The model consists of randomly mixed two sites with different site energies and on site attractive interaction between electrons. The site energy difference is treated by the coherent potential approximation. The attractive interaction, which is treated by mean field approximation, stabilizes either the semiconductor phase, or the superconductivity depending on the choice of parameters. Applicability of this model to BaPb_1−xBi_xO₃ is discussed.