The low frequency conductivity of the Fermi glass

The low-frequency (below the loss peak, or critical frequency, omega c ) conductivity, sigma ( omega ), of the Fermi glass is evaluated in an approximation replacing cluster currents with chain currents. Long chains with relatively low resistance values but large relaxation times make an important contribution to the polarization current density at low frequencies leading to a nonanalytical frequency dependence on omega of sigma ( omega ) in the limit omega to 0. The statistics of such chains are derived from the cluster statistics near percolation, while the AC currents of such chains are taken from an existing model for conduction on polymers.