LAUSR

We investigate the structure of quasiparticle states localized in a core of an Abrikosov vortex in a clean layered superconductor in the presence of planar defects. It is shown that even a highly transparent defect opens a minigap at the Fermi energy. Its magnitude, E g ∼ ∆ √ R , exceeds the mean level spacing for the chiral branch, ω 0 ∼ ∆ 2 /E F , already for very small values of the reflection coefficient off the defect, R (cid:28) 1 (∆ is the bulk gap). For R (cid:38) (cid:112) ∆ /E F , formation of the minigap is accompanied by the appearance of subgap states localized along the defect, in accordance with [A. V. Samokhvalov et al. , Phys. Rev. B 102 , 174501 (2020)]. The minigap takes its maximal value for the vortex located right at the defect, decreases with increasing the distance b from the defect, and closes when k F b ∼ (∆ /ω 0 ) √ R . We also study various configurations of several planar defects (few crossing planes, stars, periodic structures). Although the minigap remains, a strong commensurability effect is observed. For two crossing planar defects, the magnitude of the minigap strongly depends on how close the intersection angle is to a rational fraction of π .