On the Crumpling Transition in Crystalline Random Surfaces

Journal article

We investigate the crumpling transition on crystalline random surfaces with extrinsic curvature on lattices up to $64^2$. Our data are consistent with a second order phase transition and we find correlation length critical exponent $\nu=0.89\pm 0.07$. The specific heat exponent, $\alpha=0.2\pm 0.15$, is in much better agreement with hyperscaling than hitherto. The long distance behaviour of tangent-tangent correlation functions confirms that the so-called Hausdorff dimension is $d_H=\infty$ throughout the crumpled phase.

Authors: Wheater, J; Stephenson, P

• Publication status: Published
• Journal: Phys.Lett. B More from this journal
• Volume: 302
• Issue: 4
• Pages: 447-452
• Publication date: 1993-01-15
• DOI: 10.1016/0370-2693(93)90425-H
• ISSN: 0370-2693
• Keywords: hep-lat