nl7b02773_si_002.mpg (5.8 MB)
NanoVelcro: Theory of Guided Folding in Atomically Thin Sheets with Regions of Complementary Doping
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posted on 2017-09-29, 00:00 authored by Yuanxi Wang, Vincent H. CrespiFolding
has been commonly observed in two-dimensional materials
such as graphene and monolayer transition metal dichalcogenides. Although
interlayer coupling stabilizes these folds, it provides no control
over the placement of the fold, let alone the final
folded shape. Lacking nanoscale “fingers” to externally
guide folding, control requires interactions engineered into the sheets
that guide them toward a desired final folded structure. Here we provide
a theoretical framework for a general methodology toward this end:
atomically thin 2D sheets are doped with patterns of complementary
n-type and p-type regions whose preferential adhesion favors folding
into desired shapes. The two-colorable theorem in flat-foldable origami
ensures that arbitrary folding patterns are in principle accessible
to this method. This complementary doping method can be combined with
nanoscale crumpling (by, for example, passage of 2D sheets through
holes) to obtain not only control over fold placements but also the
ability to distinguish between degenerate folded states, thus attaining
nontrivial shapes inaccessible to sequential folding.
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