CRUMPLED PHASES OF SELF-AVOIDING RANDOMLY POLYMERIZED MEMBRANES

We analyze the crumpled phases of self-avoiding two-dimensional polymerized membranes (tethered membrane) in d dimensions with disorders, using a Gaussian variational approximation. We find that a stress disorder, even a short-range one, is relevant in the crumpled phase at d < 8 and alters the behaviors of the membranes. We give the exponent for the radius of gyration in the crumpled phases and find that the self-avoiding tethered membranes with short-range disorders can be in the crumpled phase at d > 2 in contrast to the pure self-avoiding tethered membrane. We also give the phase diagrams of the crumpled phases of the self-avoiding polymerized membranes with long-range disorders.