The Effect of Resonances on Diffusive Scattering

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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12 pages, 1 Figure, to be published in Physical Review B

Scientific paper

10.1103/PhysRevB.57.11258

The presence of resonances modifies the passage of light or of electrons through a disordered medium. We generalize random matrix theory to account for this effect. Using supersymmetry, we calculate analytically the mean density of states, and the effective Lagrangean of the generating functional for the two-point function. We show that the diffusion constant scales with the effective mean level spacing. The latter exhibits a resonance dip. These facts allow us to interpret experimental results on light scattering for different concentrations of resonant scatterers.

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