53 research outputs found

    Three-Fold Diffraction Symmetry in Epitaxial Graphene and the SiC Substrate

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    The crystallographic symmetries and spatial distribution of stacking domains in graphene films on SiC have been studied by low energy electron diffraction (LEED) and dark field imaging in a low energy electron microscope (LEEM). We find that the graphene diffraction spots from 2 and 3 atomic layers of graphene have 3-fold symmetry consistent with AB (Bernal) stacking of the layers. On the contrary, graphene diffraction spots from the buffer layer and monolayer graphene have apparent 6-fold symmetry, although the 3-fold nature of the satellite spots indicates a more complex periodicity in the graphene sheets.Comment: An addendum has been added for the arXiv version only, including one figure with five panels. Published paper can be found at http://link.aps.org/doi/10.1103/PhysRevB.80.24140

    Invariant Manifolds, Zero Dynamics and Stability

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    Exponential dichotomy of evolution operators in Banach spaces

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    An Equilibrium Analysis of a Multiclass Queue with Endogenous Abandonments in Heavy Traffic

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