1205.4459 (Gilles Montambaux)

An equivalence between monolayer and bilayer honeycomb lattices    [PDF]

Gilles Montambaux

In this brief report, we show the 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.

View original: http://arxiv.org/abs/1205.4459