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A solid-on-solid model for ͕111͖ surfaces of diamond-cubic materials that correctly takes into account the diamond-cubic crystal structure has been developed for Monte Carlo simulation. In addition to a roughening transition at temperature T R , a distinct preroughening transition at T PR ഠ 0.43T R is indicated by divergences in the surface specific heat and order-parameter susceptibility. Preroughening appears to arise naturally in our nearest-neighbor bond model from the entropic freedomdoi:10.1103/physrevlett.78.258 fatcat:bsvissx575hmdkxinsko57nk5y