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FREQUENCY DEPENDENT EFFECTIVE CONDUCTIVITY OF TWO-DIMENSIONAL METAL–DIELECTRIC COMPOSITES

LOTFI ZEKRI

Institute for Theoretical Physics, Cologne University, D-50923 Köln, Germany

Permanent address: U.S.T.O., Département de Physique, L.E.P.M., B.P.1505 El M'Naouar, Oran, Algeria.

https://doi.org/10.1142/S0129183105007662Cited by:1 (Source: Crossref)

Abstract

We analyze a random resistor–inductor–capacitor (RLC) lattice model of two-dimensional metal–insulator composites. The results are compared with Bruggeman's and Landauer's Effective Medium Approximations where a discrepancy was observed for some frequency zones. Such a discrepancy is mainly caused by the strong conductivity fluctuations. Indeed, a two-branches distribution is observed for low frequencies. We show also by increasing the system size that at p_c the so-called Drude peak vanishes; it increases for vanishing losses.

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References

R. Landauer , Electrical Transport and Optical Properties of Inhomogeneous Media (Ohio State University), Proc. First Conf. Electrical Transport and Optical Properties of Inhomogeneous Media , AIP Conf. Proc. No. 40 , eds. J. C. Garland and D. B. Tanner ( AIP , New York , 1978 ) . Google Scholar
D. J. Bergman and D. Stroud, Solid State Phys. 46, 147 (1992); J. P. Clerc, G. Giraud, J. M. Laugier and J. M. Luck, Adv. Phys. 39, 191 (1990) . Google Scholar
D. Stauffer and A. Aharony , Introduction to Percolation Theory , 2nd edn. ( Taylor and Francis , London , 1994 ) . Google Scholar
A. M. Dykhne, Zh. Eksp. Teor. Fiz. 59, 110 (1970) (Engl. Transl. Sov. Phys. JETP 32, 348 (1971)); D. A. Bruggeman Ann. Phys. Leipzig. 24, 636 (1935) . Google Scholar
R. Landauer, J. Appl. Phys. 23, 779 (1952). Web of Science, ADS, Google Scholar
X. C. Zeng, P. M. Hui and D. Stroud, Phys. Rev. B 39, 1063 (1989). Web of Science, Google Scholar
R. S. Koss and D. Stroud, Phys. Rev. B 35, 9004 (1987). Web of Science, ADS, Google Scholar
B. P. Waston and P. Leath, Phys. Rev. B 9, 4893 (1974). Web of Science, Google Scholar
K. D. Cummings, J. C. Garland and D. B. Tanner, Phys. Rev. B 30, 4170 (1984). Web of Science, ADS, Google Scholar
F. Brouerset al., Physica A 241, 146 (1997). Web of Science, ADS, Google Scholar
L. Zekriet al., J. Phys.: Condens. Matt. 12, 293 (2000). Web of Science, ADS, Google Scholar
C. J. Lobb and D. J. Frank, Phys. Rev. B 30, 4090 (1984); D. J. Frank and C. J. Lobb, Phys. Rev. B 37, 302 (1988) . Google Scholar
L. Zekri, R. Bouamrane and N. Zekri, J. Phys. A: Math. Gen. 33, 649 (2000). ADS, Google Scholar
U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters (Springer-Verlag, Berlin, 1995); F. Wooten, Optical Properties of Solids (Academic, New York, 1972) . Google Scholar
J. P. Clerc, L. Zekri and N. Zekri, Phys. Lett. A 338, 169 (2005). Web of Science, ADS, Google Scholar
S. Berhier , Optique des milieux composites ( Polytechnica , Paris , 1993 ) . Google Scholar