3D crystal: how flat its flat facets are?

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1007/s00220-004-1283-4

We investigate the hypothesis that the (random) crystal of the $(-)$-phase
inside the $(+)$-phase of the 3D canonical Ising model has flat facets. We
argue that it might need to be weakened, due to the possibility of formation of
extra monolayer on a facet. We then prove this weaker hypothesis for the
Solid-On-Solid model.

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