Abstract
The effective dephasing approxamation (EDA) provides a self-consistent procedure for calculating the transport properties of excitons and electrons in a disordered medium. It is based on mapping the averaged Liouville space propagator into the propagator of a particle moving in an ordered lattice with an effective frequency-dependent dephasing rate, which is determined self-consistently. The Liouville equation for the averaged density matrix is isomorphic to a linearized Boltzmann equation, and the effective dephasing rate represents a generalized BGK strong-collision operator. Our results agree with the predictions of scaling theories of the Anderson transition.
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