We have simulated a solid-on-solid model with bond disorder both parallel and perpendicular to the interface in order to examine the effect of this disorder on the roughening of one- and two-dimensional interfaces. In particular, for bond disorder parallel to the interface, we have studied the width of the interface, both below and above the roughening temperature, as a function of the system size, the temperature, and the degree of disorder. For bond disorder in the direction perpendicular to a two-dimensional interface, our results for the variation of the interface width with system size are more nearly consistent with predictions based on a Flory-type theory, first given by Kardar and improved by Halpin-Healy through the use of functional renormalization-group methods, than with other predictions based on an Imry-Ma argument.

• Received 14 December 1989

DOI:https://doi.org/10.1103/PhysRevB.41.9121