Investigation of the gap-to-T cratio of LaH 10 and LaD10 superconductors

Abstract

In this research, we investigated the gap-to-Tc ratio of LaH10 and LaD10 superconductors by using modification of the BCS theory. The assumption of carriers under high pressure was in a new state, revealing a novel dispersion relation and providing a peak located in density of state. The precise formula of the gap-to-Tc ratio was derived and achieved. The numerical results were examined, and subsequently a greater value than the one in the BCS was obtained. Our gap-to-Tc results showed the best fit with the first-principle calculation of LaH10 (R=4.32-5.25) and LaD10 (R=4.39-5.20) superconductors. Finally, those results were carried out to the gap-to-Tc ratio of metal-hydrides such as H3S, CaH6, YH4, YH6, YH7, YH9, CeH9, CeH10, ThH9 and ThH10 yielding the positive outcome and interpretation. © 2023 World Scientific Publishing Company.