Abstract
The free energy of a -dimensional elastic solid embedded in a -dimensional space and subject to an extrinsic bending energy is defined, and the solid's flat phase studied. An expansion about the upper critical dimension is performed; exponents characterizing the renormalization of the Lamé coefficients and , and the rigidity , are computed to ; and exact equations connecting these exponents are derived. Near , fluctuations increase the rigidity, and so tend to stabilize the flat phase.
- Received 9 March 1988
DOI:https://doi.org/10.1103/PhysRevLett.60.2634
©1988 American Physical Society