  Using a realistic ten-orbital tight-binding model Hamiltonian fitted to the
angle-resolved photoemission (ARPES) data on LiFeAs, we analyze the
temperature, frequency, and momentum dependencies of quasiparticle interference
(QPI) to identify gap sign changes in a qualitative way, following our original
proposal [Phys. Rev. B 92, 184513 (2015)]. We show that all features present
for the simple two-band model for the sign-changing $s_{+-}$-wave
superconducting gap employed previously are still present in the realistic
tight-binding approximation and gap values observed experimentally. We discuss
various superconducting gap structures proposed for LiFeAs, and identify
various features of these superconducting gaps functions in the quasiparticle
interference patterns. On the other hand, we show that it will be difficult to
identify the more complicated possible sign structures of the hole pocket gaps
in LiFeAs, due to the smallness of the pockets and the near proximity of two of
the gap energies.
