Manifestations of the electron-phonon interaction range in angle resolved photoemission spectra

2019 
A theoretical study of the angle resolved photoemission spectra (ARPES) is presented for metallic systems with a low concentration of carriers interacting with phonons via the weak screened Frohlich interaction. We show that for an efficient analysis of the screening one has to render the experimental ARPES intensity into the imaginary part of the electron self-energy. Several universal model-independent features of the phonon spectral component are revealed: (i) a universal screening dependence of the ARPES-intensity confinement inside the Fermi surface; (ii) similarity of the dispersion in the 1-st phonon sideband to that of the quasiparticle (QP) band at large Thomas-Fermi screening radii $r_{TF}>20$ unit cells, and its anomalous shape at intermediate screenings $3
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