Random matrix approach to plasmon resonances in the random impedance network model of disordered nanocomposites.
Random impedance networks are widely used as a model to describe plasmon resonances in disordered metal-dielectric and other two-component nanocomposites. In the present work, spectral properties of resonances in random networks are studied within a framework of the random matrix theory. We have shown that the appropriate ensemble of random matrices for the considered problem is the Jacobi ensemble (the MANOVA ensemble). Obtained analytical expressions for the density of states in such resonant networks show a good agreement with the results of numerical simulations in the wide range of metal filling fractions $0<p<1$. A correspondence with the effective medium approximation is observed.
Publisher URL: http://arxiv.org/abs/1801.09233