Semimetallic superconductivity in cubic Nd₃In: a first-principles insight into indium-based compounds

The quest for materials that simultaneously exhibit superconductivity and nontrivial topology has drawn significant attention in recent years, driven by their potential to host exotic quantum states. Their unique coexistence often leads to rich physics and potential applications in quantum technologies. Here, we predict cubic Nd₃In as an exceptional candidate in this class, combining strong-coupling superconductivity with distinctive topological features. Using first-principles calculations, we find that the strong-coupling superconductivity in Nd₃In arises primarily due to pronounced Fermi surface nesting, leading to an electron-phonon coupling constant of λ = 1.39. Our fully anisotropic Migdal-Eliashberg analysis predicts a superconducting transition temperature T _c ≈ 14 K at ambient pressure, which is the highest value reported so far among cubic semimetallic superconductors. When subjected to a pressure of 15 GPa, T _c increases further to 18 K. Beyond superconductivity, Nd₃In is found to be a Weyl semimetal, as evidenced by the presence of Fermi arcs and nontrivial Z₂ topological invariants, confirming its topological nature. The combination of strong-coupling superconductivity and nontrivial topological states makes Nd₃In a promising candidate for quantum transport and topological quantum computation.