Abstract
We study a two-dimensional honeycomb lattice-gas model with both nearest- and next-nearest-neighbour interactions in a staggered field, which describes the surface of a stoichiometrically binary crystal. We calculate the anisotropic step tension, step stiffness and equilibrium island shape, by an extended random walk method. We apply the results to the Si(111) 7 × 7 reconstructed surface and the high-temperature Si(111) 1 × 1 surface. We also calculate the inter-step interaction coefficient.
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