The Born–Mayer–Huggins potential in high temperature superconductors

Abstract

The Born–Mayer–Huggins potential which has been found the best suitable potential to study the YBa2Cu3O[Formula: see text] type high temperature superconductors is revisited in a new framework. A deeper insight in it reveals that the Born–Mayer parameters for different interactions in high temperature superconductor are not simple quantities but several thermodynamic and spatial functions enter the problem. Based on the new theory, the expressions for pressure, bulk modulus and Born–Mayer parameters have been derived and it is established that these quantities depend upon Gruneisen parameter which is the measure of the strength of anharmonic effects in high temperature superconductors. This theory has been applied to a specific model YBa2Cu3O[Formula: see text] crystal for the purpose of numerical estimates to justify the new results.