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

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 $\Phi$ tuned at an appropriate value $\Phi ={\Phi }_{\ast }$. In the absence of fermion parity conservation, we evidence the emergence of the Majorana modes by looking at the discontinuities in the persistent current $I[\Phi ]$ at $\Phi ={\Phi }_{\ast }$. By monitoring the discontinuities in $I[\Phi ]$, we map out the region in parameter space characterized by the emergence of Majorana modes in the disordered ring.

arXiv comment22 pages, 12 .eps figures

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