Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries

Details Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries Minimal Surfaces, Screw Dislocations and Twist Grain Boundaries

1998-08-27

arxiv.org/abs/cond-mat/9808306v2

Phys. Rev. Lett. 82 (1999) 2892

Physics

Condensed Matter

Soft Condensed Matter

10 pages, harvmac, 1 included postscript figure, final version

Scientific paper

10.1103/PhysRevLett.82.2892

Large twist-angle grain boundaries in layered structures are often described by Scherk's first surface whereas small twist-angle grain boundaries are usually described in terms of an array of screw dislocations. We show that there is no essential distinction between these two descriptions and that, in particular, their comparative energetics depends crucially on the core structure of their screw-dislocation topological defects.

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