The European Physical Journal B

, 85:375

An equivalence between monolayer and bilayer honeycomb lattices

Regular Article

DOI: 10.1140/epjb/e2012-30570-7

Cite this article as:
Montambaux, G. Eur. Phys. J. B (2012) 85: 375. doi:10.1140/epjb/e2012-30570-7


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.


Mesoscopic and Nanoscale Systems

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Laboratoire de Physique des Solides, CNRS UMR 8502, Université Paris-SudOrsayFrance