▎ 摘　　要

Crystalline membranes at finite temperatures have an anomalous behavior of the bending rigidity that makes them more rigid in the long-wavelength limit. This issue is particularly relevant for applications of graphene in nanoelectromechanical and microelectromechanical systems. We calculate numerically the height-height correlation function G(q) of crystalline two-dimensional membranes, determining the renormalized bending rigidity, in the range of wave vectors q from 10(-7) angstrom(-1) till 10 angstrom(-1) in the self-consistent screening approximation (SCSA). For parameters appropriate to graphene, the calculated correlation function agrees reasonably with the results of atomistic Monte Carlo simulations for this material within the range of q from 10(-2) angstrom(-1) till 1 angstrom(-1). In the limit q -> 0 our data for the exponent eta of the renormalized bending rigidity kappa(R)(q)proportional to q(-eta) is compatible with the previously known analytical results for the SCSA eta similar or equal to 0.82. However, this limit appears to be reached only for q<10(-5) angstrom(-1) whereas at intermediate q the behavior of G(q) cannot be described by a single exponent.