Vicinal Surfaces and the Calogero-Sutherland Model
arXiv:cond-mat/9602115 · doi:10.1103/PhysRevLett.77.526
Abstract
A miscut (vicinal) crystal surface can be regarded as an array of meandering but non-crossing steps. Interactions between the steps are shown to induce a faceting transition of the surface between a homogeneous Luttinger liquid state and a low-temperature regime consisting of local step clusters in coexistence with ideal facets. This morphological transition is governed by a hitherto neglected critical line of the well-known Calogero-Sutherland model. Its exact solution yields expressions for measurable quantities that compare favorably with recent experiments on Si surfaces.
4 pages, revtex, 2 figures (.eps)
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