Spin-current induced around half-quantum vortices in chiral p-wave superconducting states

We study the electronic state around a half-quantum vortex (HQV) in a chiral p-wave superconductor based on a square lattice three band tight-binding model by means of the Bogoliubov-de Gennes theory. In particular, the spatial distribution of charge and spin currents are mainly discussed. This analysis shows that the spin current is strengthened between the neighboring HQVs, resulting in the energy cost for HQV formation.