We determine the Poisson ratio of self-avoiding fixed-connectivity membranes, modeled as impenetrable plaquettes, to be sigma=-0.37(6), in statistical agreement with the Poisson ratio of phantom fixed-connectivity membranes sigma=-0.32(4). Together with the equality of critical exponents, this result implies a unique universality class for fixed-connectivity membranes. Our findings thus establish that physical fixed-connectivity membranes provide a wide class of auxetic (negative Poisson ratio) materials with significant potential applications in materials science.
@article{arxiv.cond-mat/0103173,
title = {Universal Negative Poisson Ratio of Self Avoiding Fixed Connectivity Membranes},
author = {Mark J. Bowick and A. Cacciuto and G. Thorleifsson and A. Travesset},
journal= {arXiv preprint arXiv:cond-mat/0103173},
year = {2009}
}
Comments
4 pages, 3 figures, LaTeX (revtex) Published version - title changed, one figure improved and one reference changed