Thermal roughening of an SOS-model with elastic interaction

Details Thermal roughening of an SOS-model with elastic interaction Thermal roughening of an SOS-model with elastic interaction

2002-09-06

arxiv.org/abs/cond-mat/0209159v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevB.67.195404

We analyze the effects of a long-ranged step-step interaction on thermal roughening within the framework of a solid-on-solid model of a crystal surface by means of Monte Carlo simulation. A repulsive step-step interaction is modeled by elastic dipoles located on sites adjacent to the steps. In order to reduce the computational effort involved in calculating interaction energy based on long-ranged potentials, we employ a multi-grid scheme. As a result of the long-range character of the step interaction, the roughening temperature increases drastically compared to a system with short-range cutoff as a consequence of anti-correlations between surface defects.

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