Data for: Superconductivity in twisted double bilayer graphene stabilized by WSe₂

<b>Abstract</b><br/><p>Identifying the essential components of superconductivity in graphene-based systems remains a critical problem in 2D materials research, connecting this field to the mysteries that underpin investigations of unconventional superconductivity throughout condensed-matter physics. Superconductivity has been previously observed in magic-angle twisted stacks of monolayer graphene but conspicuously not in twisted stacks of bilayer graphene, although both systems host topological flat bands and symmetry-broken states. Here, we report the discovery of superconductivity in twisted double bilayer graphene (TDBG) in proximity to WSe<sub>2</sub>. Samples with twist angles 1.24 and 1.37 degrees superconduct in small pockets of the gate-tuned phase diagram within the valence and conduction band, respectively. Superconductivity emerges from unpolarized phases near van Hove singularities and next to regions with broken isospin symmetry, showing the correlation between a high density of states and the emergence of superconductivity in TDBG while revealing a possible role for isospin fluctuations in the pairing.</p>