Vibrational origin of exchange splitting and ”chiral-induced spin selectivity

Electron exchange and correlations emerging from the coupling between ionic vibrations and electrons are addressed. Spin-dependent electron-phonon coupling originates from the spin-orbit interaction, and it is shown that such electron-phonon coupling introduces exchange splitting between the spin channels in the structure. By application of these results to a model for a chiral molecular structure mounted between metallic leads, the chiral-induced spin selectivity is found to become several tens of percent using experimentally feasible parameters.