Electronic structure of edge and vortex states in chiral mesoscopic superconductor

Abstract

We study a subgap quasiparticle spectrum in a mesoscopic disk of chiral superconductor. We find an exact expression for the spectrum of surface states localized at the disk edge. Considering an Abrikosov vortex placed at the center of a superconducting disk we investigate the spectrum transformation near the intersection points of surface and vortex anomalous energy branches . The resulting splitting of the anomalous branches due to the hybridization of edge and vortex states is determined by an external magnetic field and can lead in particular to the formation of a set of minigaps in the quasiparticle spectrum. Tuning the external magnetic field makes it possible to control the width of minigaps and the positions of corresponding density of states singularities at the minigaps edges.

6 pages, 2 figures

References in corpus (4)

• Andreev - Saint James reflections: a probe of cuprate superconductors
• Shadow on the wall cast by an Abrikosov vortex
• Giant oscillations of energy levels in mesoscopic superconductors
• Enhanced vortex heat conductance in mesoscopic superconductors

Cited by in corpus (4)

• Topological Mid-gap States of px+ipy Topological Superconductor with Vortex superlattice
• Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• Magnetic resonance within vortex cores in the B phase of superfluid ${}^3$He