Quantifying proximity-induced superconductivity from first-principles calculations

Proximity induced superconductivity with a clean interface has attracted much attention in recent years. We discuss how the commonly-employed electron tunneling approximation can be hybridized with first-principles calculation to achieve a quantitative characterization starting from the microscopic atomic structure. By using the graphene-Zn heterostructure as an example, we compare this approximated treatment to the full $\mathit{\text{ab}}\mathit{\text{inito}}$ anisotropic Eliashberg formalism. Based on the calculation results, we discuss how superconductivity is affected by the interfacial environment.