Ground state properties of solid-on-solid models with disordered substrates
Abstract
We study the glassy {\it super-rough} phase of a class of solid-on-solid models with a disordered substrate in the limit of vanishing temperature by means of {\it exact} ground states, which we determine with a newly developed minimum cost flow algorithm. Results for the height-height correlation function are compared with analytical and numerical predictions. The domain wall energy of a boundary induced step grows algebraically with system size, indicating the stability of the ground state, and the {\it fractal} dimension of the step is estimated. The sensibility of the ground state with respect to infinitesimal variations of the quenched disorder is analyzed.Keywords
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