Department of Physics Papers

Document Type

Journal Article

Date of this Version

11-13-2009

Comments

Suggested Citation:
Souslov, A., A.J. Liu and T.C. Lubensky. (2009). "Elasticity and Response in Nearly Isostatic Periodic Lattices." Physical Review Letters. 103, 205503.

© 2009 The American Physical Society
http://dx.doi.org/10.1103/PhysRevLett.103.205503.

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 the perimeter. We analytically study the approach to this isostatic limit as the spring constant k' for the next-nearest-neighbor bond vanishes. We identify a characteristic frequency ω* ~ √(k') and length ω* ~ √(k/k' ) for both lattices. The shear modules C44 = k' of the square lattice vanishes with k', but that for the kagome lattice does not.

 

Date Posted: 23 November 2010

This document has been peer reviewed.