The layered dichalcogenide MoTe2, a type-II Weyl (semi)metal in the non-centrosymmetric orthorhombic (Td) phase exhibits interesting properties. It becomes superconducting upon cooling below 0.25 K, while under pressure, superconductivity extends well beyond the structural boundary between the orthorhombic and monoclinic (1T´) phases. Under pressure, coupled with the electronic band transition across the Td to 1T´ phase boundary, a new phase we call Td* appears as the volume fraction of the Td phase decreases in the co-existence region. Td* is centrosymmetric with a four-layer unit cell and AABB layer stacking (and its twin, ABBA). In the region of space where Td* appears, Weyl nodes are destroyed. Td* disappears upon entering the monoclinic phase as a function of temperature or on approaching the suppression of the orthorhombic phase under pressure above 1 GPa. Our calculations in the orthorhombic phase under pressure show significant band tilting around the Weyl nodes that most likely changes the spin-orbital texture of the electron and hole pockets near the Fermi surface under pressure that may be linked to the observed suppression of magnetoresistance with pressure. In addition to this system I will show some results on an antiferromagnetic spintronics material, NaMnBi.