Fate of Weyl semimetals in the presence of incommensurate potentials
  We investigate the effect of the incommensurate potential on Weyl semimetal,
which is proposed to be realized in ultracold atomic systems trapped in
three-dimensional optical lattices. For the system without the Fermi arc, we
find that the Weyl points are robust against the incommensurate potential and
the system enters into a metallic phase only when the incommensurate potential
strength exceeds a critical value. We unveil the trastition by analysing the
properties of wave functions and the density of states as a function of the
incommensurate potential strength. We also study the system with Fermi arcs and
find the Fermi arcs are sensitive against the incommensurate potential and can
be destoryed by a weak incommensurate potential.
