  We use the exact analytical technique introduced in Phys. Rev. B 101, 115405
to recover the surface Green's functions and the corresponding Fermi-arc
surface states for various lattice models of Weyl semimetals. For these models
we use the T-matrix formalism to calculate the quasiparticle interference
patterns generated in the presence of impurity scattering. In particular, we
consider the models introduced in Phys. Rev. B 93, 041109(R) (A) and Phys. Rev.
Lett. 119, 076801 (B), and we find that, as opposed to observations previously
obtained via joint density of states and spin-dependent scattering probability,
the inter-arc scattering in the quasiparticle interference features is fully
suppressed in model A, and very small in model B. Our findings indicate that
these models may not correctly describe materials such as MoTe2, since for such
materials inter-arc scattering is clearly visible experimentally, e.g., in
Nature Phys. 12, 1105-1110 (2016). We also focus on the minimal models proposed
by McCormick et al. in Phys. Rev. B 95, 075133, which indeed recover
significant inter-arc scattering features.
