Abstract
We determine the Poisson ratio of self-avoiding fixed-connectivity membranes, modeled as impenetrable plaquettes, to be , in statistical agreement with the Poisson ratio of phantom fixed-connectivity membranes . 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.
- Received 7 March 2001
DOI:https://doi.org/10.1103/PhysRevLett.87.148103
©2001 American Physical Society