Core excitations spectrum of the Abrikosov vortex pinned by a dielectric inclusion
or nanohole of sizes of order of coherence length is considered using the
Bogoliubov - de Gennes equations beyond semiclassical approximation.
While the lowest excitation, minigap, in free (or pinned by a metallic defect)
vortex is of order Δ²/EF, it becomes of the order of the superconducting
gap Δ (EF is Fermi energy).
The reconstruction of the quasiparticle excitations' spectrum has a significant impact
on optical properties and tunneling density of states.
