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A three-orbital model derived from the two-dimensional projection of the $ab$$initio$ Hamiltonian for alkaline doped fullerene A$_3$C$_{60}$ with A=Cs,Rb,Kis studied by a variational Monte Carlo method. We correctly reproduce theexperimental isotropic s-wave superconductivity around the $ab$ $initio$parameters. With narrowing the bandwidth, the transition to an insulator isalso reproduced, where orbital symmetry is found to be spontaneously brokenwith emergence of an excitonic Mott insulator for two orbitals and anantiferromagnetic insulator nearly degenerate with a spin liquid for the thirdorbital. The superconductivity is a consequence of exciton melting.

Superconductivity Emerging from Excitonic Mott insulator - Theory of Alkaline Doped Fullerene