We simulate bond-diluted self-avoiding tethered membranes of linear size L=7 to 41. For any p>${\mathit{p}}_{\mathit{c}}$ we find only the flat phase. The three eigenvalues of the inertia tensor (${\lambda }_3$ the largest, ${\lambda }_1$ the smallest eigenvalue) scale with system size according to ${\lambda }_{\mathit{j}}$∼${\mathit{L}}_{\mathit{j}}^{2\nu }$ with ${\nu }_3$(p)=${\nu }_2$(p)=1.0 and ${\nu }_1$(p)≊2/3 for all p>${\mathit{p}}_{\mathit{c}}$. Our data indicate that at the percolation concentration the system is isotropically crumpled with fractal dimension indistinguishable from the Flory prediction. The crossover between the isotropically crumpled and flat fixed point is also studied.

• Received 1 June 1990

DOI:https://doi.org/10.1103/PhysRevA.43.2056