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Renormalized polarizability in the Maxwell Garnett theory

Author

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  • Barrera, R.G.
  • Monsivais, G.
  • Mochan, W.L.
  • Del Castillo, M.

Abstract

We develop a simple theory for the effective dielectric function of a system of identical spheres embedded in a homogeneous matrix within the dipolar long-wavelength approximation. We obtain a relationship analogous to the Clausius-Mossotti relation but with a renormalized polarizability for the spheres instead of the bare polarizability. This renormalized polarizability depends on the bare polarizability, the volume fraction and a functional of the two-particle correlation function of the spheres, and obeys a second order algebraic equation. We calculate the optical properties of metallic spheres within an insulating matrix and compare our results with previous theories and with experiment. We obtain a closed analytical form of the spectral function and check that it obeys Bergman's sum rules [1].

Suggested Citation

  • Barrera, R.G. & Monsivais, G. & Mochan, W.L. & Del Castillo, M., 1989. "Renormalized polarizability in the Maxwell Garnett theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 369-369.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:1:p:369-369
    DOI: 10.1016/0378-4371(89)90327-0
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