Design of Theoretical Model for High Temperature Superconductor

Abstract

Superconductivity is one of the most important phenomena in solid state physics. Its theoretical framework at low critical temperature is based on Bardeen, Cooper and Schrieffer theory (BCS). But at high above 135, this theory suffers from some set backs. It can not explain how the resistivity abruptly drops to zero below, beside the explanation of the so called pseudogap, isotope and pressure effect, in addition to the phase transition from insulating to superconductivity state. The models proposed to cure this drawback are mainly based on Hubbard model which has a mathematical complex framework. In this work a model based on quantum mechanics beside generalized special relativity and plasma physics can explain why the resistance drop to zero below abruptly, beside the expressions for the isotope and pressure effect. It also gives an expression which shows the relation between the energy gap and. These expressions are mathematically simple and are in conformity with experimental results. The phase change from insulator to superconductor is also discussed within the framework of this model.