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arXiv · 1205.4459

An equivalence between monolayer and bilayer honeycomb lattices

Gilles Montambaux
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Abstract

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.

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Gilles Montambaux. 2012-05-20. An equivalence between monolayer and bilayer honeycomb lattices. https://doi.org/10.1140/epjb/e2012-30570-7

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