We study a graphene Josephson junction where the inner graphene layer is
subjected to spin-orbit coupling by proximity effect. This could be achieved,
for example, by growing the graphene layer on top of a transition metal
dichalcogenide, such as WS$_2$. Here, we focus on the ballistic, wide, and
short junction limits and study the effects of the spin-orbit interaction on
the supercurrent. In particular, we analyze the current phase relation using an
analytical approach based on the continuum model. We find combinations of types
of spin-orbit coupling that significantly suppress the supercurrent by opening
a gap in the graphene band structure. At the same time, other combinations
enhance it, acting as an effective spin-valley resolved chemical potential.
Moreover, we find that a strong Rashba spin-orbit coupling leads to a junction
with a highly voltage tunable harmonic content.

Este artículo explora los viajes en el tiempo y sus implicaciones.

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