Abstract
A new coarse-grained terrace-step-kink (TSK) picture for the vicinal surface is proposed. In this picture called harmonically-interacting step (HIS) picture, the vicinal surface is expressed by an assembly of the harmonically-interacting steps which look like flexible continuous strings. Through the transfer matrix representation, we show the equivalence between the HIS picture and the capillary wave picture for the vicinal surface in the length-scale much larger than the average step-spacing. To establish the validity and to show the usefulness of the HIS picture, we pay attention to the step deformation width. The deformation width is studied both by the analytic calculation based on the HIS picture and by the Monte-Carlo calculations for the free-Fermion TSK model and for the solid-on-solid step TSK model. The results from these calculations agree very well.
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