Investigation of the gap-to-Tc ratio of LaH10 and LaD10 superconductors

In this research, we investigated the gap-to-[Formula: see text] ratio of LaH[Formula: see text] and LaD[Formula: see text] 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-[Formula: see text] 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-[Formula: see text] results showed the best fit with the first-principle calculation of LaH[Formula: see text] ([Formula: see text]–5.25) and LaD[Formula: see text] ([Formula: see text]–5.20) superconductors. Finally, those results were carried out to the gap-to-[Formula: see text] ratio of metal-hydrides such as H 3 S, CaH 6 , YH 4 , YH 6 , YH 7 , YH 9 , CeH 9 , CeH[Formula: see text], ThH 9 and ThH[Formula: see text] yielding the positive outcome and interpretation.