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We theoretically study various aspects of the electron-surface optical phononinteraction effects in graphene on a substrate made of polar materials. Wecalculate the electron self-energy in the presence of the surfacephonon-mediated electron-electron interaction focusing on how the linear chiralgraphene dispersion is renormalized by the surface phonons. The electronself-energy as well as the quasiparticle spectral function in graphene arecalculated, taking into account electron-polar optical phonon interaction byusing a many body perturbative formalism. The scattering rate of free electronsdue to polar interaction with surface optical phonons in a dielectric substrateis calculated as a function of the electron energy, temperatures, and carrierdensity. Effects of screening on the self-energy and scattering rate arediscussed. Our theory provides a comprehensive quantitative (and qualitative)picture for surface phonon interaction induced many-body effects and hotelectron relaxation in Dirac materials.

Surface polar optical phonon interaction induced many-body effects and hot-electron relaxation in graphene