Theoretical Approach to Modify the Born–Mayer Parameters in Layered Superconductor

Abstract

AbstractSince 1932, most of the scientists considered the coefficients (known as range and softening constants) of Born–Mayer potential as constants need in depth investigation. This has been explored in the form of Born–Mayer–Huggins (BMH) potential for the high temperature superconductors in a new frame work which enables to develop the expressions for Born–Mayer parameters, bulk modulus, and pressure. These investigations divulge that the Born–Mayer parameters for different interactions in high temperature superconductor are not simple quantities but depend upon various physical quantities like pressure, charges, volume, and Gruneisen parameter which is the measure of the strength of anharmonic affects in high temperature superconductors. The numerical computations have been performed for the various interactions of \({\text{YBa}}_2 {\text{Cu}}_{3} {\text{O}}_{6 + \delta } (YBCO)\) superconductor to adjudge the suitability of this formalism which is applicable to other high temperature and layered superconductors.KeywordsHigh temperature superconductorsBorn–Mayer parametersGruneisen parameter