FLAT GLASSY PHASES AND WRINKLING OF POLYMERIZED MEMBRANES WITH LONG-RANGE DISORDER

We study polymerized membranes with long-range quenched internal disor der in the preferred metric and/or the extrinsic curvature characteriz ed by disorder range exponents z(mu),z(kappa), respectively. We find s everal new flat glassy phases stable at T > 0 in different regions of the z(mu),z(kappa) plane. We calculate the z-dependent roughness expon ents and amplitudes that characterize these new phases. When z(mu),z(k appa) exceed critical values z(mu)c,z(kappa)c (characteristic of each phase), these glassy flat phases undergo a transition towards a crumpl ed phase, similar to the crumpled glass previously predicted.