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.
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Montambaux, G. An equivalence between monolayer and bilayer honeycomb lattices. Eur. Phys. J. B 85, 375 (2012). https://doi.org/10.1140/epjb/e2012-30570-7
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DOI: https://doi.org/10.1140/epjb/e2012-30570-7