Elasticity and response in nearly isostatic periodic lattices

Anton Souslov, Andrea J. Liu, T. C. Lubensky

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71 Citations (SciVal)


The square and kagome lattices with nearest-neighbor springs of spring constant k are isostatic with a number of zero-frequency modes that scale with their perimeter. We analytically study the approach to this isostatic limit as the spring constant k′ for next-nearest-neighbor bonds vanishes. We identify a characteristic frequency ω*∼k′ and length l*∼k/k′ for both lattices. The shear modulus C44=k′ of the square lattice vanishes with k′, but that for the kagome lattice does not.

Original languageEnglish
Article number205503
Pages (from-to)1 - 4
Number of pages4
JournalPhysical Review Letters
Issue number20
Publication statusPublished - 13 Nov 2009

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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