Non Metallic Transport in Molecular Solids versus Dimensionality

Path integral techniques and Green functions formalism are applied to study the (time) temperature dependent scattering of a polaronic quasiparticle by a local anharmonic potential in a bath of diatomic molecules. The electrical resistivity has been computed in any molecular lattice dimensionality for different values of electron-phonon coupling and intermolecular forces. A broad resistivity peak with non metallic behavior at temperatures larger than $\simeq 100K$ is predicted by the model for sufficiently strong polaron-local potential coupling strengths. This peculiar behavior, ascribed to purely structural effects, is favoured in low dimensionality.