Effect of a point impurity on the vortex bound states in an s-wave superconductor:: A self-consistent analysis

Cin the basis of self-consistent numerical solution of the Bogoliubov-de Gennes equations on a finite-size lattice. we study the variation of the vortex bound state when an impurity potential is added to the core of an isolated vortex line in an s-wave superconductor. The local density of states is investigated at both the core and its neighbor sire. By analyzing the impurity-induced increase of the pair potential near the vortex core, we elucidate the mechanism of the vortex pinning in detail.