Vicinal Surfaces and the Calogero-Sutherland Model
- 15 July 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 77 (3), 526-529
- https://doi.org/10.1103/physrevlett.77.526
Abstract
A miscut (vicinal) crystal surface can be regarded as an array of meandering but noncrossing steps. Interactions between the steps are shown to induce a faceting transition of the rough surface between a homogeneous Tomonaga-Luttinger liquid state and a low-temperature regime 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.Keywords
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