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Novel "quasi two dimensional" typically layered (semi) metals offer a uniqueopportunity to control the density and even the topology of the electronicmatter. Along with doping and gate voltage, a robust tuning is achieved byapplication of the hydrostatic pressure. In Weyl semi - metals the tilt of thedispersion relation cones, k , increases with pressure, so that one is able toreach type II k > 1 starting from the more conventional type I Weyl semi -metals k < 1. The microscopic theory of such a transition is constructed. It isfound that upon increasing pressure the I to II transition occurs in twocontinuous steps. In the first step the cones of opposite chirality coalesce sothat the chiral symmetry is restored, while the second transition to the Fermisurface extending throughout the Brillouin zone occurs at higher pressures.Flattening of the band leads to profound changes in Coulomb screening.Superconductivity observed recently in wide range of pressure and chemicalcomposition in Weyl semi-metals of both types. The phonon theory of pairingincluding the Coulomb repulsion for a layered material is constructed andapplied to recent extensive experiments on HfTe5.

Two step I to II type transitions in layered Weyl semi-metals and their impact on superconductivity