Anisotropic positive linear and sub-linear magnetoresistivity in the cubic type-II Dirac metal Pd$_3$In$_7$

We report a transport study on Pd$_3$In$_7$ which displays multiple Dirac type-II nodes in its electronic dispersion. Pd$_3$In$_7$ is characterized by low residual resistivities and high mobilities, which are consistent with Dirac-like quasiparticles. For an applied magnetic field $(\mu_{\text{0}} H)$ having a non-zero component along the electrical current, we find a large, positive, and linear in $\mu_{\text{0}} H$ longitudinal magnetoresistivity (LMR). The sign of the LMR and its linear dependence deviate from the behavior reported for the chiral-anomaly-driven LMR in Weyl semimetals. Interestingly, such anomalous LMR is consistent with predictions for the role of the anomaly in type-II Weyl semimetals. In contrast, the transverse or conventional magnetoresistivity (CMR for electric fields $\textbf{E} \bot \mu_{\text{0}} \textbf{H}$) is large and positive, increasing by $10^3-10^4$ \% as a function of $\mu_{\text{0}}H$ while following an anomalous, angle-dependent power law $\rho_{\text{xx}}\propto (\mu_{\text{0}}H)^n$ with $n(\theta) \leq 1$. The order of magnitude of the CMR, and its anomalous power-law, is explained in terms of uncompensated electron and hole-like Fermi surfaces characterized by anisotropic carrier scattering likely due to the lack of Lorentz invariance.