Vicinal Surfaces and the Calogero-Sutherland Model

Michael Lässig
1996 Physical Review Letters  
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
more » ... s expressions for measurable quantities that compare favorably with recent experiments on Si surfaces.
doi:10.1103/physrevlett.77.526 pmid:10062833 fatcat:3kmmha2c3rdwpb5ezoycwfqc5a