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- W2951972110 abstract "Arising as a fluctuation phenomenon, the equilibrium distribution of meandering steps with mean separation $$langleellrangle$$ on a “tilted” surface can be fruitfully analyzed using results from RMT. The set of step configurations in 2D can be mapped onto the world lines of spinless fermions in 1+1D using the Calogero-Sutherland model. The strength of the (“instantaneous”, inverse-square) elastic repulsion between steps, in dimensionless form, is β(β − 2)/4. The distribution of spacings $$slangleellrangle$$ between neighboring steps (analogous to the normalized spacings of energy levels) is well described by a “generalized” Wigner surmise: $$p_{beta}(0, s) approx as^{beta} {rm exp}(-bs^{2})$$ . The value of β is taken to best fit the data; typically 2 ≤ β ≤ 10. The procedure is superior to conventional Gaussian and mean-field approaches, and progress is being made on formal justification. Furthermore, the theoretically simpler step-step distribution function can be measured and analyzed based on exact results. Formal results and applications to experiments on metals and semiconductors are summarized, along with open questions. [conference abstract]" @default.
- W2951972110 created "2019-06-27" @default.
- W2951972110 creator A5046690126 @default.
- W2951972110 date "2003-12-01" @default.
- W2951972110 modified "2023-10-05" @default.
- W2951972110 title "Applications of Ideas from Random Matrix Theory to Step Distributions on “Misoriented” Surfaces" @default.
- W2951972110 doi "https://doi.org/10.1007/s00023-003-0964-4" @default.
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