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Persistent current and zero-energy Majorana modes in a p-wave disordered superconducting ring

Andrea Nava, Rosa Giuliano, Gabriele Campagnano, Domenico Giuliano

DOI 10.1103/PhysRevB.95.155449 · Physical Review B

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Abstract

We discuss the emergence of zero-energy Majorana modes in a disordered finite-length p-wave one-dimensional superconducting ring, pierced by a magnetic flux Φ tuned at an appropriate value Φ=Φ*. In the absence of fermion parity conservation, we evidence the emergence of the Majorana modes by looking at the discontinuities in the persistent current I[Φ] at Φ=Φ*. By monitoring the discontinuities in I[Φ], we map out the region in parameter space characterized by the emergence of Majorana modes in the disordered ring.

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