Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-09-11
Phys. Rev. B 81, 041408(R) (2010)
Physics
Condensed Matter
Other Condensed Matter
Selected PRB Editors' Suggestion
Scientific paper
10.1103/PhysRevB.81.041408
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.
Stojanovic Vladimir M.
Vanevic Mihajlo
Vukmirovic Nenad
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