  The electronic and electrical properties of crystalline organic
semiconductors, such as the dispersions of the electronic bands and the
dependence of charge-carrier mobility on temperature, are greatly impacted by
the nonlocal electron-phonon interactions associated with intermolecular
lattice vibrations. Here, we present a theoretical description that underlines
that these properties vary differently as a function of the symmetry of the
nonlocal electron-phonon coupling mechanism. The electron-phonon coupling
patterns in real space are seen to have a direct and significant impact on the
interactions in reciprocal space. Our findings demonstrate the importance of
aspects that are usually missing in current transport models. Importantly, an
adequate description of the electronic and charge-transport properties of
organic semiconductors requires that the models take into account both
antisymmetric and symmetric contributions to the nonlocal electron-phonon
coupling mechanism.
