  We show that the critical current of the Josephson junction consisting of
superconducting electrodes coupled through a nanowire with two conductive
channels can reveal the multi-periodic magnetic oscillations. The
multi-periodicity originates from the quantum mechanical interference between
the channels affected by both the strong spin-orbit coupling and Zeeman
interaction. This minimal two-channel model is shown to explain the complicated
interference phenomena observed recently in Josephson transport through Bi
nanowires.
