Anomalous elasticity of nematic elastomers
Abstract
We study the anomalous elasticity of nematic elastomers by employing the powers of renormalized field theory. Using general arguments of symmetry and relevance, we introduce a minimal LandauGinzburgWilson elastic energy for nematic elastomers. Performing a diagrammatic lowtemperature expansion, we analyze the fluctuations of the displacement fields at and below the upper critical dimension 3. Our analysis reveals an anomaly of certain elastic moduli in the sense that they depend on the length scale. In d = 3 this dependence is logarithmic and below d = 3 it is of power law type with anomalous scaling exponents. One of the 4 relevant shear moduli vanishes at long length scales whereas the only relevant bending modulus diverges.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 March 2003
 DOI:
 10.1209/epl/i2003003012
 arXiv:
 arXiv:condmat/0212251
 Bibcode:
 2003EL.....61..776S
 Keywords:

 61.41.+e;
 64.60.Fr;
 64.60.Ak;
 Polymers elastomers and plastics;
 Equilibrium properties near critical points critical exponents;
 Renormalizationgroup fractal and percolation studies of phase transitions;
 Condensed Matter  Soft Condensed Matter;
 Condensed Matter  Statistical Mechanics
 EPrint:
 4 pages