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Tunneling measurements of the temperature dependence of the electronicdensity of states (DOS) of ultrathin bilayers of Pb and Ag reveal that theirsuperconducting energy gap, $\Delta (T)$, evolves similarly to BCS predictionsdespite the presence of a large anomalous DOS at the Fermi energy that persistsas $T\to 0$. The gap ratio, ${2\Delta (0)}\over {k_BT_c}$, systematicallydecreases more than 20% below the BCS universal value of 3.52 in bilayers withthe lowest superconducting transition temperatures, $T_c$; a behavior we deemsuper weakly coupled. A semi-quantitative model suggests that the reduced gapratios result from a systematic depletion of the DOS available for pairing thatoccurs with the growth of the anomalous DOS at the Fermi energy.Comment: 10 pages, 4 figure

Super-weakly coupled superconductivity in ultrathin superconductor–normal-metal bilayers