Physics – Condensed Matter
Scientific paper
1995-04-11
Physics
Condensed Matter
26 pages, RevTex, 8 figures available on request
Scientific paper
10.1103/PhysRevB.52.3346
We have employed the method of spectral moments to study the density of vibrational states and the Raman coupling coefficient of large 2- and 3- dimensional percolators at threshold and at higher concentration. We first discuss the over-and under-flow problems of the procedure which arise when -like in the present case- it is necessary to calculate a few thousand moments. Then we report on the numerical results; these show that different scattering mechanisms, all {\it a priori} equally probable in real systems, produce largely different coupling coefficients with different frequency dependence. Our results are compared with existing scaling theories of Raman scattering. The situation that emerges is complex; on the one hand, there is indication that the existing theory is not satisfactory; on the other hand, the simulations above threshold show that in this case the coupling coefficients have very little resemblance, if any, with the same quantities at threshold.
Dell'Anna R.
Mazzacurati V.
Montagna M.
Pilla Oreste
Ruoco G.
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