About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Paper
Anomalous elasticity and symmetry breaking fields in tethered membranes
Abstract
We study the eleasticity of tethered, crystalline membranes in an applied in-plane electric field. The field lowers the critical dimension for the onset of anomalous elasticity from 4 to 5/2, allowing stringent experimental tests of the predictions of the renormalization group to be made. Two-in-plane elastic constants vanish at small wave vectors q like q, while the membrane bend modulus diverges like q-, with +1/2(5-D)=5-2D, exactly. The 5/2-expansion predicts =0.270.03 and =0.600.05 in D=2. We discuss several experiments to measure these exponents. © 1992 The American Physical Society.