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- W2062899997 abstract "Measurement of terrace-width distributions (TWD's) of vicinal surfaces is used routinely to find the dimensionless strength $~A$ of the elastic repulsion between steps. For sufficiently strong repulsions, the TWD can be described by a Gaussian about the mean step spacing, but controversy has arisen on the correct prefactor in the relation of the TWD variance to $~A.$ Instead of the various Gaussian approximations, we have advocated for several years that the TWD be fit with the generalized Wigner distribution, essentially a gamma distribution in the normalized squared TWs. The basis for this idea stems from a mapping of the step model to the Sutherland model of fermions in one dimension. While several applications to experiment have been successful, definitive comparison of the various approximations requires high-quality numerical data. We report transfer matrix and extensive Monte Carlo simulations of terrace-step-kink models to support our contentions. Our work includes investigation of finite-size effects and of the breakdown of the continuum picture for values of $~A$ larger than in typical experiments." @default.
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- W2062899997 date "2004-03-12" @default.
- W2062899997 modified "2023-10-16" @default.
- W2062899997 title "Analysis of terrace-width distributions using the generalized Wigner surmise: Calibration using Monte Carlo and transfer-matrix calculations" @default.
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- W2062899997 doi "https://doi.org/10.1103/physrevb.69.125404" @default.
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