Crumpling phase transition of random surfaces with extrinsic curvature

We study a rigid random surface, which is embedded in the continuum euclidean space as a triangulated spherical random surface and whose action has an extrinsic curvature (or a rigidity) term in addition to the area action. The crumpling phase transition is numerically investigated. It is suggested that the order of the phase transition is 2. It is also found numerically that the Hausdorff dimension H in the smooth phase is finite, while in the crumpled phase H grows infinitely. (orig.)