Computational Study of a Random Surface Model

We present results of Monte Carlo simulations of the equilibrium random surface model proposed in [1]. The model includes both the Volmer-Weber and Stranski-Krastanow growth regimes. In one limit, the model reduces to the two-dimensional Ising model in the height representation. We find that the critical temperature is reduced when the Ising model constraint of a single height steps is relaxed. The critical properties of the model are explored using a variant of the worm algorithm. \\[4pt] [1] C. Newman and D. B. Abraham, Equilibrium Stranski-Krastanow and Volmer-Weber models, Europhys. Lett., 86, 16002 (2009).