  The observation of spin-dependent transport through organic chiral structures
has sparked numerous fundamental and applicative questions ranging from biology
to spintronics. By now, there is a broad consensus that the effect results from
the combination of spin-orbit coupling and the systems' unique geometry.
However, two key challenges remain. Firstly, accounting for the magnitude of
the measured effect in light of the weak spin-orbit coupling in organic
systems. Secondly, understanding its observation not only in
tunneling-dominated short molecules, but also in longer ones where
phonon-assisted hopping via localized states is operative. We focus on the
latter and find that localization and the complete loss of coherence due to
phonons do not impede strong spin polarization of charge carriers passing
through the molecule. Moreover, hopping decouples the energy scale for
observing spin-selective transport from the magnitude of the spin-orbit
coupling. Thus, our result may explain the observation of large spin
selectivity at room temperature and under large applied voltages.
