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Modified critical correlations close to modulated and rough surfaces

Andreas Hanke·Mehran Kardar
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Abstract

Correlation functions are sensitive to the presence of a boundary. Surface modulations give rise to modified near surface correlations, which can be measured by scattering probes. To determine these correlations, we develop a perturbative calculation in deformations in height from a flat surface. The results, combined with a renormalization group around four dimensions, are also used to predict critical behavior near a self-affinely rough surface. We find that a large enough roughness exponent can modify surface critical behavior.

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Andreas Hanke, Mehran Kardar. 2001-06-01. Modified critical correlations close to modulated and rough surfaces. https://doi.org/10.1103/physrevlett.86.4596

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