A general model for superconductivity

The discovery of superconductivity is more than a hundred years with a variety of superconductors reported so far. The conventional BCS theory works for the superconductive metals, but it fails to oxide superconductors. The absence of general theory greatly restricts the deep understanding and future study for superconductivity. Here, we successfully propose a universal theory for superconductivity through modeling the microscopically atomic interactions. The general formula for critical temperature is developed to display a strong relationship to a few parameters of materials. Specifically, the critical temperature displays a power law correlation for carrier concentrations and is inversely proportional to thermal expansion coefficient. Then, this model is well confirmed and supported by the reported experiment data of superconductive metals and oxides, showing excellent universality. This work fills the century gap of superconductivity and thus provides a deep insight and powerful guidance for future study.