Modified critical correlations close to modulated and rough surfaces.
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-affine rough surface. We find that a large enough roughness exponent can modify surface critical behavior.
Hanke
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Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Kardar
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