Temperature Dependence of Facet Ridges in Crystal Surfaces

Details Temperature Dependence of Facet Ridges in Crystal Surfaces Temperature Dependence of Facet Ridges in Crystal Surfaces

1998-10-30

arxiv.org/abs/cond-mat/9810411v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 19 figures

Scientific paper

10.1103/PhysRevE.59.5029

The equilibrium crystal shape of a body-centered solid-on-solid (BCSOS) model on a honeycomb lattice is studied numerically. We focus on the facet ridge endpoints (FRE). These points are equivalent to one dimensional KPZ-type growth in the exactly soluble square lattice BCSOS model. In our more general context the transfer matrix is not stochastic at the FRE points, and a more complex structure develops. We observe ridge lines sticking into the rough phase where thesurface orientation jumps inside the rounded part of the crystal. Moreover, the rough-to-faceted edges become first-order with a jump in surface orientation, between the FRE point and Pokrovsky-Talapov (PT) type critical endpoints. The latter display anisotropic scaling with exponent $z=3$ instead of familiar PT value $z=2$.

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