  It was recently suggested that the topology of magic-angle twisted bilayer
graphene's (MATBG) flat bands could provide a novel mechanism for
superconductivity distinct from both weakly-coupled BCS theory and the $d$-wave
phenomenology of the high-$T_c$ cuprates. In this work, we examine this
possibility using a density matrix renormalization group (DMRG) study of a
model which captures the essential features of MATBG's symmetry and topology.
Using large scale cylinder-DMRG calculations to obtain the ground state and its
excitations as a function of the electron doping, we find clear evidence for
superconductivity driven by the binding of electrons into charge-$2e$
skyrmions. Remarkably, this binding is observed even in the regime where the
unscreened Coulomb repulsion is by-far the largest energy scale, demonstrating
the robustness of this topological, all-electronic pairing mechanism.
