Fig. 5: Modeling the hybrid superconducting gap and extracting the anisotropic weighting function.

a Top: sketch of the distorted Fermi surface for Pb/BP showing the K (diamond) and M (square) points. Bottom: schematic band structure for the hybrid two-band model showing the BdG band dispersion and opening of an anisotropic gap. Dashed lines represent hybridized bands in the normal state. Dashed diamond and square shapes in the diagram represent the K and M points of the Fermi surface, respectively. b dI/dV spectrum (open blue circles) measured at T = 30 mK on a 7 ML film (same as in Fig. 2a) together with the fit employing a two-band model (red curve). The fit uses an anisotropic gap (∆(θ)) and an anisotropic density of states represented by a weight function (w(θ)) as shown in the polar plot in c. The magenta and orange curves in b represent simulated spectra with an isotropic gap (dashed line in c) and an anisotropic gap without incorporating the weight function, respectively. d Δ0(N) obtained from fitting plotted for different sample preparations measured at T = 30 mK. The different colors of scatter points represent different preparations.