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Vicinal Surfaces and the Calogero-Sutherland Model

Michael Lassig
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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.

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Michael Lassig. 1996-02-21. Vicinal Surfaces and the Calogero-Sutherland Model. https://doi.org/10.1103/physrevlett.77.526

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