Impact of the density of states on the dynamical hopping conductivity -: art. no. 104203

We argue that the dynamical hopping conductivity at low frequencies can be strongly affected by the form of the density of states, if the density of states depends strongly on energy and the transport is not restricted to a small vicinity of the Fermi energy. To this end we focus on an exponential density of states. For such a density of states we show that the strong energy dependence of the density of states affects significantly the characteristic frequencies, governing the impact of the frequency dependence on the conductivity, the expected magnitude of the loss, and the characteristic exponents in the multiple hopping regime. These facts manifest also themselves in the transient current close to equilibrium.