Dynamic scaling near the percolation threshold in thin Au films

Abstract

We report on measurements of both the ac conductivity () and the ac dielectric constant (μ) of thin Au films near their percolation threshold for frequencies between 100 Hz and 10 MHz. In the critical regime, x and μ-y. We obtain x=0.95±0.05 and y=0.13±0.05, in agreement with a general relation x+y=1. These results are significantly different from predictions based on finite size scaling of the dc conductivity or diffusion on independent percolation clusters, providing evidence for the importance of electron-electron interaction effects. © 1984 The American Physical Society.