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Interface roughening in a two-dimensional Ising model with weak bond disorder is considered at low temperatures including T=0. The delicate low-temperature limit of the roughness amplitude is examined using Burger's equation, scaling arguments, and a numerical T=0 transfer-matrix method. A new power-law dependence of amplitudes on disorder strength is found. Indirect evidence for a roughening transition due to randomness for d>3 is given. The significance of the results for incommensurate systems and wetting phenomena is shown.
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Nattermann et al. (1988) studied this question.
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