Statistical Mechanical Calculation of Anisotropic Step Stiffness of a Two-Dimensional Hexagonal Lattice Gas Model with Next-Nearest-Neighbor Interactions: Application to Si(111) Surface

Abstract

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

revised on May 29 1999: RevTeX v3.1, 10 pages with 9 figures (one figure added)

References in corpus (2)

• Density Matrix Renormalization Group Method for 2D Classical Models
• Product Wave Function Renormalization Group Method

Cited by in corpus (5)

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• Correlations in nano-scale step fluctuations: comparison of simulation and experiments
• Intrinsic Step Jamming in Nanometer-Scale KPZ-like Rough Surfaces under Interface-Limited Crystal Growth and Retreat