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

Nava A., Giuliano R., Campagnano G., Giuliano D.

Comunicazione
II - Fisica della materia
Aula 32B-2 - Mercoledì 19 h 09:00 - 13:00
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 $\Phi = \Phi^{*}$. 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 $\Phi = \Phi^{*}$. 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