Abstract

Chiral polaron formation arising from the electron-E2g phonon coupling and the mini band gap formation due to electron-A1g phonon coupling are investigated in pristine graphene. We present an analytical method to calculate the ground-state of the electron-phonon system within the framework of the Lee-Low-Pines theory. We show that the degenerate band structure of the graphene promotes the chiral polaron formation. Within our theoretical analysis, we also show that the interaction of charge carriers with the highest frequency zone-boundary phonon mode with A1g -symmetry induces a mini band gap at the corners of the two-dimensional Brillouin zone of the graphene.

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