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Article Dans Une Revue Proceedings of the National Academy of Sciences of the United States of America Année : 2022

Edge states in rationally terminated honeycomb structures

Résumé

Consider the tight binding model of graphene, sharply terminated along an edge l parallel to a direction of translational symmetry of the underlying period lattice. We classify such edges l into those of “zigzag type” and those of “armchair type,” generalizing the classical zigzag and armchair edges. We prove that zero-energy/flat-band edge states arise for edges of zigzag type, but never for those of armchair type. We exhibit explicit formulae for flat-band edge states when they exist. We produce strong evidence for the existence of dispersive (nonflat) edge state curves of nonzero energy for most l.
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Dates et versions

hal-03877091 , version 1 (04-12-2022)

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Charles L Fefferman, Sonia Fliss, Michael I Weinstein. Edge states in rationally terminated honeycomb structures. Proceedings of the National Academy of Sciences of the United States of America, 2022, 119 (47), pp.e2212310119. ⟨10.1073/pnas.2212310119⟩. ⟨hal-03877091⟩
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