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Phys Rev Lett. 2015 Nov 06;115(19):195501. doi: 10.1103/PhysRevLett.115.195501. Epub 2015 Nov 04.

Bending Rules in Graphene Kirigami.

Physical review letters

Bastien F Grosso, E J Mele

Affiliations

  1. Institute of Theoretical Physics Ecole Polytechnique Federale de Lausanne (EPFL), Lausanne CH-1015, Switzerland.
  2. Department of Physics Loughborough University, Loughborough LE11 3TU, United Kingdom.
  3. Department of Physics and Astronomy University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

PMID: 26588395 DOI: 10.1103/PhysRevLett.115.195501

Abstract

The three-dimensional shapes of graphene sheets produced by nanoscale cut-and-join kirigami are studied by combining large-scale atomistic simulations with continuum elastic modeling. Lattice segments are selectively removed from a graphene sheet, and the structure is allowed to close by relaxing in the third dimension. The surface relaxation is limited by a nonzero bending modulus which produces a smoothly modulated landscape instead of the ridge-and-plateau motif found in macroscopic lattice kirigami. The resulting surface shapes and their interactions are well described by a new set of microscopic kirigami rules that resolve the competition between bending and stretching energies.

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