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The effect of a small imaginary part ₂ to the dielectric constant on the propagation of waves in a disordered medium near the Anderson localization transition is considered. The n0 replica-field representation of the averaged Green's function leads to a nonlinear model with a symmetry-breaking perturbation proportional to ₂. In d=2+, the renormalized energy absorption coefficient is shown to increase anomalously with frequency near the mobility edge ^* as (^*-) ^- (d-2) /2, =1/. It is shown that the wavelength ^* below which localization occurs is related to the elastic mean free path l by (l/^*) ^d-11/ (d>2). This may occur near the limit of attainable disorder from a quenched random array of small dielectric or metallic spheres.
Sajeev John (Tue,) studied this question.