Vortex core near planar defects in a clean layered superconductor

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