Current phase relation in a planar graphene Josephson junction with spin-orbit coupling

• URL: http://arxiv.org/abs/2504.17517v1
• Date: Thu, 24 Apr 2025 12:59:15 GMT
• Title: Current phase relation in a planar graphene Josephson junction with spin-orbit coupling
• Abstract summary: We study a graphene Josephson junction where the inner graphene layer is subjected to spin-orbit coupling by proximity effect.<n>We find combinations of types of spin-orbit coupling that significantly suppress the supercurrent by opening a gap in the graphene band structure.<n>We find that a strong Rashba spin-orbit coupling leads to a junction with a highly voltage tunable harmonic content.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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