Spectral Gaps in Graphene Antidot Lattices
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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.
Mathematics Subject ClassificationPrimary 81Q10 Secondary 46N50 81Q37 34L10 47A10
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