Determination of the superconducting properties of a graphite bilayer and Fm3m - LaH10

"Superconductivity has provided sophisticated technologies based on the BCS theory (Bardeen, Cooper and Schrieffer) and mainly on Eliashberg's theory, which contribute in several areas, allowing the improvement of the quality of life of people in the world, besides being a constant source of scientific and technological knowledge. The challenges of superconductivity show a clear and safe path towards discoveries that will favorably affect society and will lead it to change its way of thinking and will provide individuals in general, a kinder life with the environment and with their being.The study of superconducting materials becomes very relevant within the social context. Inspired by the possibilities offered by superconductivity, we propose to study superconducting and thermodynamic properties such as critical temperature, critical field, the jump in specific heat and Cooper Pair Distribution function, in two structures of frontier scientific and technological interest. The first, a graphene bilayer at three relative angles of rotation between the bilayer planes (1.05°, 1.1° and 1.15°) and under the action of an electric field; the second, the 𝐹𝑚3̅𝑚 - 𝐿𝑎𝐻10, for five values of pressure (180, 185, 190, 195 and 200 GPa). Through this study will contribute to scientific progress by generating knowledge on topics of high scientific and technological impact.