An equivalence between monolayer and bilayer honeycomb lattices
Laboratoire de Physique des Solides, CNRS UMR 8502,
Université Paris-Sud, 91405
a e-mail: email@example.com
Published online: 19 November 2012
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.
Key words: Mesoscopic and Nanoscale Systems
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012