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Glassy Roughness of a Crystalline Surface Upon a Disordered Substrate

D. Cule·Y. Shapir
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Abstract

The discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is studied by Monte Carlo simulations. A continuous transition is found from a phase with a thermally-induced roughness to a glassy one in which the roughness is driven by the disorder. The behavior of the height-height correlations is consistent with the one-step replica symmetry broken solution of the variational approximation. The results differ from the renormalization group predictions and from recent simulations of a 2D vortex-glass model which belongs to the same universality class.

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D. Cule, Y. Shapir. 1994-11-12. Glassy Roughness of a Crystalline Surface Upon a Disordered Substrate. https://doi.org/10.1103/physrevlett.74.114

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