Electron-phonon coupling in graphene antidot lattices: an indication of polaronic behavior

Abstract

We study graphene antidot lattices -- superlattices of perforations (antidots) in a graphene sheet -- using a model that accounts for the phonon-modulation of the $\pi$-electron hopping integrals. We calculate the phonon spectra of selected antidot lattices using two different semi-empirical methods. Based on the adopted model, we quantify the nature of charge carriers in the system by computing the quasiparticle weight due to the electron-phonon interaction for an excess electron in the conduction band. We find a very strong phonon-induced renormalization, with the effective electron masses exhibiting nonmonotonic dependence on the superlattice period for a given antidot diameter. Our study provides an indication of polaronic behavior and points to the necessity of taking into account the inelastic degrees of freedom in future studies of transport in graphene antidot lattices.

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• Entanglement-spectrum characterization of ground-state nonanalyticities in coupled excitation-phonon models
• Quantum dynamics of the small-polaron formation in a superconducting analog simulator
• Screening in graphene antidot lattices
• Spectral features of polaronic excitations in a superconducting analog simulator
• Effect of Hexagonal Boron Nitride on Energy Band Gap of Graphene Antidot Structures
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
• Clar Sextet Analysis of Triangular, Rectangular and Honeycomb Graphene Antidot Lattices