Ballistic Weyl semimetal to diffusive metal phase transitions driven by quasiperiodicity

We discuss our recent study on the effects of a quasiperiodic potential and the absence of strong randomness on the stability of the semimetal phase in three-dimensional Dirac and Weyl semimetals. We find that the semimetal phase at the Weyl node energy is stable in the presence of three-dimensional quasiperiodic potentials and tuning the strength of the potential leads to a series of Weyl semimetal to metal quantum phase transitions. We demonstrate that the metallic phase at the Weyl node energy has a non-zero density of states and is diffusive as determined through level statistics that are consistent with random matrix theory and wave packet dynamics. We will also present the critical properties at the bonafide semimetal to metal quantum phase transition.