Impurity dependent superconductivity, Berry phase and bulk Fermi surface of the Weyl type-II semi-metal candidate MoTe2

Orthorhombic MoTe$_2$ and its isostructural compound WTe$_2$ were recently claimed to belong to a new class (type II) of Weyl semi-metals characterized by a linear touching between hole and electron Fermi surfaces in addition to nodal lines. To validate these predictions, we synthesized high quality single-crystals of $\beta$-MoTe$_2$, finding that its superconducting transition temperature depends on disorder as quantified by the ratio between the room- and low-temperature resistivities. Similar to WTe$_2$, its magnetoresistivity does not saturate at high magnetic fields and can easily surpass $10^{6}$ %, with the superimposed Shubnikov de Haas oscillations revealing a non-trivial Berry phase of $\simeq \pi$. The geometry of the Fermi surface, as extracted from the quantum oscillations, is markedly distinct from the calculated one. A broad anomaly seen in the heat capacity and in the Hall-effect indicates that the crystallographic and the electronic structures evolve upon cooling below 100 K, likely explaining the discrepancy between these recent predictions and our experimental observations.