Elasticity of randomly diluted honeycomb and diamond lattices with bending forces.

J Phys Condens Matter

Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, NY, USA. Institute of Physics, University of São Paulo, São Paulo, SP, Brazil.

Published: April 2016

We use numerical simulations and an effective-medium theory to study the rigidity percolation transition of the honeycomb and diamond lattices when weak bond-bending forces are included. We use a rotationally invariant bond-bending potential, which, in contrast to the Keating potential, does not involve any stretching. As a result, the bulk modulus does not depend on the bending stiffness κ. We obtain scaling functions for the behavior of some elastic moduli in the limits of small ΔP = 1-P, and small δP = P-Pc, where P is an occupation probability of each bond, and Pc is the critical probability at which rigidity percolation occurs. We find good quantitative agreement between effective-medium theory and simulations for both lattices for P close to one.

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http://dx.doi.org/10.1088/0953-8984/28/16/165402DOI Listing

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