Spectral gaps in Graphene antidot lattices

Abstract : We consider the gap creation problem in an antidot graphene lattice, i.e. a sheet of graphene with periodically distributed obstacles. We prove several spectral results concerning the size of the gap and its dependence on different natural parameters related to the antidot lattice.
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Jean-Marie Barbaroux, Horia Cornean, Edgardo Stockmeyer. Spectral gaps in Graphene antidot lattices. Integral Equations and Operator Theory, Springer Verlag, 2017, 89 (4), pp.631-646. ⟨10.1007/s00020-017-2411-9⟩. ⟨hal-01546056⟩

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