Phys. Rev. Lett. 87, 148103 (2001) [4 pages]Universal Negative Poisson Ratio of Self-Avoiding Fixed-Connectivity MembranesReceived 7 March 2001; published 14 September 2001 We determine the Poisson ratio of self-avoiding fixed-connectivity membranes, modeled as impenetrable plaquettes, to be σ = -0.37(6), in statistical agreement with the Poisson ratio of phantom fixed-connectivity membranes σ = -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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.148103
DOI:
10.1103/PhysRevLett.87.148103
PACS:
87.16.Dg, 82.70.Uv, 87.16.Ka
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