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Facet ridge end points in crystal shapes

Douglas Davidson·Marcel den Nijs
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Abstract

Equilibrium crystal shapes (ECS) near facet ridge end points (FRE) are generically complex. We study the body-centered solid-on-solid model on a square lattice with an enhanced uniaxial interaction range to test the stability of the so-called stochastic FRE point where the model maps exactly onto one dimensional Kardar-Parisi-Zhang type growth and the local ECS is simple. The latter is unstable. The generic ECS contains first-order ridges extending into the rounded part of the ECS, where two rough orientations coexist and first-order faceted to rough boundaries terminating in Pokrovsky-Talapov type end points.

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Douglas Davidson, Marcel den Nijs. 1999-06-24. Facet ridge end points in crystal shapes. https://doi.org/10.1103/physrevlett.84.326

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