Appearance of Magnetization around a Pair of Half-Quantum Vortices in Chiralp-Wave Superconductors

Abstract

We have investigated quasi-particle excitations around a pair of half-quantum vortices in chiral \(p\)-wave superconductors, using the Bogoliubov–de Gennes equations. We use the elliptic coordinates and the Mathieu function for numerical calculations. We found that the height of peak of a local density of states of the bound states for the half-quantum vortex core is a half of that for a singly quantized vortex core. Also, it was found that a magnetization appears along a pair of half-quantum vortices. Existence of half-quantum vortex might be confirmed by observation of this distribution of the magnetization.