Anisotropic superconductivity in ZrB12 near the critical Bogomolnyi point

The superconductors with the Ginzburg-Landau (G-L) parameter $(\ensuremath{\kappa})$ $\ensuremath{\sim}1/\sqrt{2}$ exist near a critical Bogomolnyi (B) point where they show intertype domains between type-I and type-II superconductivity. While such physics is well understood for isotropic superconductors, the experimental investigation of the physics of anisotropic superconductors near a critical B point remains an unattained goal, mainly due to the unavailability of model material systems. Theoretically, such superconductors are expected to show type-I or type-II behavior for definite directions of an applied magnetic field. Here, from directional point-contact Andreev reflection spectroscopy and field-angle-dependent ac magnetic susceptibility measurements, we show that ${\mathrm{ZrB}}₁₂$ is an anisotropic superconductor and it exhibits field-direction-dependent type-I and type-II behavior. These observations match remarkably well with the theoretical expectations for an anisotropic superconductor near a critical B point. Therefore our results project ${\mathrm{ZrB}}₁₂$ as a model material system where the physics of intertype anisotropic superconductivity can be explored experimentally.