Unveiling the mechanical properties and Grüneisen parameter of superconductors at high pressure: universality of EOSs

This research paper presents a comprehensive theoretical analysis of the bulk modulus, pressure derivative of bulk modulus, and Grüneisen parameter in superconductors. The study aims to elucidate the fundamental properties governing the mechanical behavior of superconducting materials under various external pressures and to check the applicability of various EOSs. Through rigorous calculations and theoretical modeling, we explore the relationship between these parameters and their impact on the overall performance of superconductors. By employing advanced theoretical frameworks and first-principles calculations, we determine the bulk modulus, a measure of material's resistance to compression, as well as the pressure derivative of bulk modulus, which quantifies the response of the material's bulk modulus to changes in external pressure. Additionally, we investigate the Grüneisen parameter, which characterizes the influence of thermal expansion on the material's mechanical properties. The findings of this research shed light on the fundamental mechanical properties of superconductors and provide valuable insights into their behavior under varying external pressures. The obtained results contribute to the fundamental understanding of superconductivity and offer potential avenues for optimizing the design and performance of superconducting materials in diverse applications ranging from energy transmission to quantum computing. Stacey criterion and available experimental and theoretical work will validate our work.