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Nanoporous carbon is a primarily sp2 carbon system wherein the carbon sheets are rolled and wrapped into a complex holey structure with pores on the order of 1 nm in diameter. Might it be possible, if such a system was doped with alkali atoms, that the curvature of the sheets could yield a sufficiently enhanced electron-phonon coupling to yield a superconductor?

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V. H. Crespi : Superconducting nanoporous carbon?