We consider the competition between superconducting, charge ordered, and metallic phases in layered molecular crystals with the θ and β^'' structures. Applying slave-boson theory to the relevant extended Hubbard model, we show that the superconductivity is mediated by charge fluctuations and the Cooper pairs have dxy symmetry. This is in contrast to the κ-(BEDT-TTF)₂X family, for which theoretical calculations give superconductivity mediated by spin fluctuations and with d_x²-y² symmetry. We predict several materials that should become superconducting under pressure.
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Merino et al. (2001) studied this question.
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