How (Super) Rough is the Glassy Phase of a Crystalline Surface with a Disordered Substrate?

Physics – Condensed Matter

Scientific paper

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12 pages. LaTeX file + 5 figures (uuencoded). Postscript file available at http://chimera.roma1.infn.it/index_papers_complex.h

Scientific paper

10.1088/0305-4470/28/14/016

We discuss the behavior of a crystalline surface with a disordered substrate. We focus on the possible existence of a {\em super-rough} glassy phase, with height-height correlation functions which vary as the square logarithm of the distance. With numerical simulations we establish the presence of such a behavior, that does not seem to be connected to finite size effects. We comment on the variational approach, and suggest that a more general extension of the method could be needed to explain fully the behavior of the model.

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