Abstract
Twisted Van der Waals systems offer the unprecedented possibility to tune different states of correlated quantum matter with external noninvasive electrostatic doping. The nature of the superconducting order presents a recurring open question in this context. In this work, we assess quantitatively the case of spin-fluctuation-mediated pairing for $\mathrm{\ensuremath{\Gamma}}$-valley twisted transition metal dichalcogenide homobilayers. We calculate self-consistently and dynamically the doping-dependent superconducting transition temperature ${T}_{\mathrm{c}}$ revealing a superconducting dome with a maximal ${T}_{\mathrm{c}}\ensuremath{\approx}0.1--1\phantom{\rule{0.16em}{0ex}}\mathrm{K}$ depending on twist angle. We compare our results with conventional phonon-mediated superconductivity, and we identify clear fingerprints in the doping dependence of ${T}_{\mathrm{c}}$, which enable experiments to distinguish between different pairing mechanisms.
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