Eur. Phys. J. B (2012) 85: 375
https://doi.org/10.1140/epjb/e2012-30570-7

Regular Article

An equivalence between monolayer and bilayer honeycomb lattices

Laboratoire de Physique des Solides, CNRS UMR 8502, Université Paris-Sud, 91405 Orsay, France

^a e-mail: montambaux@lps.u-psud.fr

Received: 10 July 2012
Published online: 19 November 2012

Abstract

We present an equivalence between the tight binding descriptions of the monolayer and bilayer honeycomb lattices. With appropriate value of the third nearest neighbors coupling, the Hamiltonian for a monolayer is equivalent to the low energy effective Hamiltonian for bilayer in the presence of trigonal warping. A simple physical argument is provided to explain this correspondance.