Current-phase relation and h/e-periodic critical current of a chiral Josephson contact between one-dimensional Majorana modes
Dmitriy S. Shapiro, Alexander Shnirman, Alexander D. Mirlin
DOI 10.1103/PhysRevB.93.155411 · Physical Review B
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Abstract
We explore a long Josephson contact transporting Cooper pairs between one-dimensional (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 sawtoothlike shape with spikes at unusual even phases of 2πn.
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