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 $\mathbf{\text{E}}\mathrm{\perp }{\mu }_{\text{0}}\mathbf{\text{H}}$) 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 $n(\theta )\le 1$. 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.