Coexistence of type II Dirac transport and anisotropic superconductivity in layered material PdTe$_{\mathrm{2}}$ and improved possible topological superconductor

We demonstrate the coexistence of the type-II featured tilted Dirac cones and anisotropic superconductivity in a layered crystal PdTe$_{\mathrm{2}}$ by the combined studies using the low-temperature transport, de Haas-van Alphen oscillations and the first-principles calculations. The superconductivity appears at 1.9K and the upper critical field when Ixc is 3 times larger than that when I-c. Six conductive pockets are identified in the dHvA measurements, where one mode with frequency of 8.0T exhibits the nontrivial Berry phase. Detailed band structure of PdTe$_{\mathrm{2}}$ was analyzed by theory calculation which is consistent with the dHvA measurements and feature of the type-II Dirac fermions was confirmed. We consider type II Dirac semimetals are the optimized materials with topological superconductivity transport and PdTe$_{\mathrm{2}}$ is an improved platform to produce the possible topological superconductor.