Majorana states in a p-wave superconducting ring

B. Rosenstein, I. Shapiro, B. Ya Shapiro

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The spectrum of excitations of the chiral superconducting ring with internal and external radii Ri, Re (comparable with coherence length ξ) trapping a unit flux Φ0 is calculated. We find within the Bogoliubov-de Gennes approach that there exists a pair of precisely zero-energy states when 2k (Re - R i)/π is integer (here k is the momentum component in the disk plane while kξ > 1). They are not protected by topology, but are stable under certain deformations of the system. We discuss the ways to tune the system so that it grows into such a "Majorana disk". This condition has a character of a resonance phenomenon.

Original languageEnglish
Article number57002
Issue number5
StatePublished - Jun 2013


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