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Twisted Van der Waals systems offer the unprecedented possibility to tunedifferent states of correlated quantum matter with an external non-invasiveelectrostatic doping. The nature of the superconducting order presents arecurring open question in this context. In this work, we quantitatively assessthe case of spin-fluctuation-mediated pairing for $\Gamma$-valley twistedtransition metal dichalcogenide homobilayers. We self-consistently anddynamically calculate the doping dependent superconducting transitiontemperature $T_{\mathrm{c}}$ revealing a superconducting dome with a maximal$T_{\mathrm{c}}\approx 0.1-1$ K depending on twist angle. We compare ourresults with conventional phonon-mediated superconductivity and identify clearfingerprints in the doping dependence of $T_{\mathrm{c}}$, which allowexperiments to distinguish between different pairing mechanisms.

Doping fingerprints of spin and lattice fluctuations in moir\'e superlattice systems