Silicene-based π and φ0 Josephson junctions

Xingfei Zhou; Guojun Jin

doi:10.1103/PhysRevB.95.195419

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Silicene-based π and φ0 Josephson junctions

Xingfei Zhou, Guojun Jin

DOI 10.1103/PhysRevB.95.195419 · Physical Review B

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Abstract

We investigate the supercurrent in a silicene-based Josephson junction under external-field modulations spatially. Employing the qualitative analysis and solving the Dirac–Bogoliubov–de Gennes equation, it is found that, for the bulk states, a π junction is generated from the valley polarization by combining an antiferromagnetic exchange magnetization and spin-orbit coupling. In contrast, for the topologically protected edge states, a π as well as a φ0 junction can be obtained by adjusting ferromagnetic exchange field or antiferromagnetic exchange magnetization to shift the edge states in wave vector space; or alternatively by modulating electric and light fields to modify the Fermi velocity of the edge states. It is proposed that a direct current superconducting quantum interference devices can be used to observe these π and φ0 junctions in experiment.