Superconducting Gap of Pressure Stabilized (Al(0.5)Zr(0.5))H(3) from Ab Initio Anisotropic Migdal–Eliashberg Theory

[Image: see text] Motivated by Matthias’ sixth rule for finding new superconducting materials in a cubic symmetry, we report the cluster expansion calculations, based on the density functional theory, of the superconducting properties of Al(0.5)Zr(0.5)H(3). The Al(0.5)Zr(0.5)H(3) structure is thermodynamically and dynamically stable up to at least 200 GPa. The structural properties suggest that the Al(0.5)Zr(0.5)H(3) structure is a metallic. We calculate a superconducting transition temperature using the Allen–Dynes modified McMillan equation and anisotropic Migdal–Eliashberg equation. As result of this, the anisotropic Migdal–Eliashberg equation demonstrated that it exhibits superconductivity under high pressure with relatively high-T(c) of 55.3 K at a pressure of 100 GPa among a family of simple cubic structures. Therefore, these findings suggest that superconductivity could be observed experimentally in Al(0.5)Zr(0.5)H(3).