Negative Poisson's ratio materials via isotropic interactions

Abstract

We show that under tension, a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintutively, have a negative Poisson's ratio, or auxetic behavior. We derive the conditions under which the triangular lattice in two dimensions and lattices with cubic symmetry in three dimensions exhibit a negative Poisson's ratio. In the former case, the simple Lennard-Jones potential can give rise to auxetic behavior. In the latter case, negative Poisson's ratio can be exhibited even when the material is constrained to be elastically isotropic.

10 pages, 2 figures, accepted in Physical Review Letters

References in corpus (3)

• Optimized Interactions for Targeted Self-Assembly: Application to Honeycomb Lattice
• Synthetic Diamond and Wurtzite Structures Self-Assemble with Isotropic Pair Interactions
• Self-assembly of the simple cubic lattice with an isotropic potential

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