Modified critical correlations close to modulated and rough surfaces

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 1 figure. Revised version as published in Phys. Rev. Lett. 86, 4596 (2001)

Scientific paper

10.1103/PhysRevLett.86.4596

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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