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Creators/Authors contains: "Weinstein, Michael I."

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  1. ; ; ( , Communications on Pure and Applied Mathematics)
    Abstract

    Consider the tight binding model of graphene, sharply terminated along an edgelparallel to a direction of translational symmetry of the underlying period lattice. We classify such edgeslinto 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 formulas for flat band edge states when they exist. We produce strong evidence for the existence of dispersive (non flat) edge state curves of nonzero energy for mostl.

     
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  2. ; ; ; ( , Multiscale Modeling & Simulation)
    null (Ed.)
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  3. ; ; ( , Communications on Pure and Applied Mathematics)
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  4. ; ; ( , Journal of Mathematical Physics)