Pressure Effects On Energy Of H3S And LaH10 Superconductor 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. Further, pressure effects on cell volume and energy were studied. The value of entropy for the two hydrides at their respective is 0.15 meV/K 2 for H 3 S and 0.13 meV/K 2 for LaH 10. The highest entropy for H 3 S is 0.450 meV/K 2 and occurs at 900K while for LaH 10 the highest entropy of 0.451 meV/K 2 occurs at 1000K. The two systems are found to have the lowest entropy at. H 3 S at a deformed volume of 158.4 a.u 3 has energy of-220.76 meV. At v=100a.u 3 , E=0meV. Therefore, the cell volume of H 3 S is found to be 100a.u 3. The bulk modulus for H 3 S at 158.4a.u 3 is B=129.8 GPa Similarly LaH 10 at a deformed volume of 81.5a.u 3 has energy of-86.16 meV. At v=45 a.u 3 , E=0meV. Therefore, the cell volume is found to be 45a.u 3. From the study, the energy required to break the Cooper pairs in H 3 S was found to be-220.76meV. The energy gap for the hydride at the stated pressure is 76mev. Twice this energy gives 152meV. A gap difference of 66.7meV is obtained and this is attributed to pressure increased that raises the energy required to break the Cooper pairs. However, this does not apply for the results of LaH 10 with energy gap of 51meV and energy obtained of 86.16meV. These results will open room for more discoveries towards the room temperature hydride superconductors under ambient pressure for practical applications.