Two Mott Insulator Theory of Superconductivity in K$_3$X (X: picene, .. p-terphenyl, .. C$_{60}$)

Abstract: We look for unifying aspects behind superconductivity in aromatic hydrocarbon and fullerene family K$3$X (X: picene, .. p-terphenyl, .. C${60}$). Aromatic hydrocarbon molecules support RVB states. Consequent stability (aromaticity) makes them reluctant electron acceptors. We argue that X accepts only two (not all three) electrons from K$_3$ and creates charged RVB's in X$^{2-}$, and becomes a (molecular) Cooper pair box. A weak Josephson coupling between X$^{2-}$ molecules creates a Bose Mott insulator, a potential high Tc superconductor. Remaining lone electron in the complex (K$_3)^{2+}$ occupies a suitable metal orbital hybrid. They hybridize weakly through X$^{2-}$ molecular bridges, to form a half filled band of renormalized K atom orbitals, a Fermionic Mott insulator. An interplay of RVB physics and charge transfer (mutual doping) or external doping leads to superconductivity in one or both Mott insulators. In our theory there is room for room temperature superconductivity.