Abstract
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 language | English |
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Article number | 205503 |
Pages (from-to) | 1 - 4 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 103 |
Issue number | 20 |
DOIs | |
Publication status | Published - 13 Nov 2009 |
ASJC Scopus subject areas
- General Physics and Astronomy