Towards room-temperature superconductivity in low-dimensional C60 nanoarrays: An ab initio study

We propose to raise the critical temperature $T_c$ for superconductivity in doped C${}_{60}$ molecular crystals by increasing the electronic density of states at the Fermi level $N(E_F)$ and thus the electron-phonon coupling constant in low-dimensional C${}_{60}$ nanoarrays. We consider both electron and hole doping and present numerical results for $N(E_F)$, which increases with decreasing bandwidth of the partly filled $h_u$ and $t_{1u}$ derived frontier bands with decreasing coordination number of C${}_{60}$. Whereas a significant increase of $N(E_F)$ occurs in 2D arrays of doped C${}_{60}$ intercalated in-between graphene layers, we propose that the highest $T_c$ values approaching room temperature may occur in bundles of nanotubes filled by 1D arrays of externally doped C${}_{60}$ or La@C${}_{60}$, or in diluted 3D crystals, where quasi-1D arrangements of C${}_{60}$ form percolation paths.