Step conductance and spin selectivity in a one-dimensional tailored conical magnet

Using an $S$-matrix formulation, we evaluate the conductance of a one-dimensional free-electron gas in double-exchange interaction with a classical conical magnet. We find integer conductance steps depending on the energy window of the incoming electrons for conical magnets described by a fictitious magnetic field of different orientations and modulated profile. The conductance windows, which we attribute to potential or diffractive scattering, are characterized by spin selectivity depending on the fictitious magnetic field direction and chirality.