  For more than a decade, the unusual distribution of electrons observed in
ARPES (angle-resolved photoemission spectroscopy) data within the energy range
of ~30meV to ~300meV below the Fermi level, known as the ARPES range, has
remained a puzzle in the field of iron-based superconductivity. However, in
this study, we have made a noteworthy observation: although the electron-phonon
coupling alone is insufficient to account for the observed ARPES pattern, our
analysis reveals that when the instantaneous electron-phonon coupling occurring
in selective phonon channel is enhanced by the coexistence of antiferromagnetic
spin density wave and charge density wave phenomena, the amplified interaction
becomes comparable to the ARPES range. This finding suggests that the
instantaneous interplay between these intricate phenomena should play a crucial
role in generating the observed energy range in ARPES. Our work may provide a
valuable clue towards achieving a deeper understanding of the complex
relationship between electronic correlations, lattice structure, and
superconductivity in iron-based materials for uncovering the origin of the
unconventional ARPES pattern.
