The flat phase of fixed-connectivity membranes
  The statistical mechanics of flexible two-dimensional surfaces (membranes) appears in a wide variety of physical settings. In this talk we discuss the simplest case of fixed-connectivity surfaces. We first review the current theoretical understanding of the remarkable flat phase of such membranes. We then summarize the results of a recent large scale Monte Carlo simulation of the simplest conceivable discrete realization of this system \cite{BCFTA}. We verify the existence of long-range order, determine the associated critical exponents of the flat phase and compare the results to the predictions of various theoretical models. 
M.J. Bowick, S. Catterall, M. Falcioni, G. Thorleifsson (Syracuse U.)   and K. Anagnostopoulos (NBI)