We discover that the multiple degrees of freedom associated with magnetic
skyrmions: size, position, and chirality, can all be used to control the
Josephson effect and 0-pi transitions occurring in superconductor/magnetic
skyrmion/superconductor junctions. In the presence of two skyrmions, the
Josephson effect depends strongly on their relative chirality and leads to the
possibility of a chirality-transistor effect for the supercurrent where the
critical current is changed by several orders of magnitude simply by reversing
the chirality of a magnetic skyrmion. Moreover, we demonstrate that the
Fraunhofer pattern can show a local minimum at zero flux as a direct result of
the skyrmion magnetic texture. These findings demonstrate the rich physics that
emerges when combining topological magnetic objects with superconductors and
could lead to new perspectives in superconducting spintronics.Comment: 5 pages, 5 figure