Fluctuation of a Single Step on the Vicinal Surface-Universal and Non-Universal Behaviors

概要

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Mean-square fluctuation width of a single step on the vicinal surface, denoted by Δ^2(y)(y : distance along the step), is calculated based on the terrace-step-kink picture. For systems with only short-range step-step interactions, both the free-fermion approach and the capillary-wave approach are taken to derive the universal asymptotic behavior Δ^2(y)〜A log y with A=(πρ)^<-2>, whereρis the step density. We present a general relation between Δ^2(y) and the surface height-height correlation function, which connects the universal behavior to the universal Gaussian curvature jump at the facet edge. For the case with long-range (inverse-square) step-step interactions, we combine the exact solution of the Sutherland model with the capillary-wave theory. We successfully derive the non-universal amplitude A=A(p, g) as a function of the coupling constant g.
社団法人日本物理学会の論文
1994-03-15