Current-phase relation and $h/e$-periodic critical current of a chiral Josephson contact between 1D Majorana modes

Abstract

We explore a long Josephson contact transporting Cooper pairs between 1D charge-neutral chiral Majorana modes in the leads via charged Dirac chiral modes in the normal region. We investigate the regimes of (i) transparent contacts and (ii) tunnel junctions implemented in 3D topological insulator/superconductor/magnet hybrid structures. The setup acts as a SQUID controlled by the magnetic flux enclosed by the chiral loop of the normal region. This chirality leads to the fractional $h/e$-periodic pattern of critical current. The current-phase relation can have sawtooth-like shape with spikes at unusual even phases of $2\pi n$.

12 pages, 11 figures; minor changes, version submitted to Phys. Rev. B

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Cited by in corpus (9)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Thermoelectric transport in junctions of Majorana and Dirac channels
• Emergent Josephson current of $N=1$ chiral topological superconductor in quantum anomalous Hall insulator/superconductor heterostructures
• Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
• Excess equilibrium noise in topological SNS junction between chiral Majorana liquids
• Edge supercurrent in Josephson junctions based on topological materials
• Microwave response of a chiral Majorana interferometer
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• Coulomb blockade of chiral Majorana and complex fermions far from equilibrium