Thermodynamic Properties of Pressurized Hydride Superconductors Due to Collective Excitation of Cooper Pairs

There are two categories of superconductors; s-wave superconductors that are isotropic and d-wave superconductors that are anisotropic. The microscopic theory of superconductivity by Bardeen, Schrieffer and Cooper (BCS theory) explains s-wave pairing of charges under ambient pressure but it fails to explain charge pairing under high pressure. Studies have shown that superconductivity in hydrides is due to electron-phonon mediation. Models have been developed to explain the pressure effect on  but so far no unified model has been agreed upon to explain HTSC under pressure using the Bogoliubov-Valatin Transformation (BVT) formalism.  The developed theory was used in this work to give more understanding of the superconducting process under pressure and carry on a comparison with other researchers. The systems energy, specific heats, entropy and Sommerfield coefficient were determined. The specific heat capacity for LaH10 is 0.0315meV/K at =237.9 and 210GPa. The systems have maximum  =4.68meV/K at T=6K. LaH10 shows Sommerfield coefficient of  0.00235meV/K2 at the same stated pressure values. The value of entropy for the hydride at  is 0.13meV/K2 for LaH10. The highest entropy for LaH10 is 0.451meV/K2 occurs at 1000K.