Introduction of quantum finite-size effects in the Mie's theory for a multilayered metal sphere in the dipolar approximation: Application to free and matrix-embedded noble metal clusters

摘要: A mixed classical/quantum model for calculating the optical response of free and matrix-embedded multilayered metal spheres in dipolar approximation is presented. The conduction electrons are quantum-mechanically treated framework time-dependent local-density-approximation formalism (TDLDA), whereas surrounding matrix, ionic backgrounds non-metallic materials classically described through homogeneous charge distributions or/and dielectric media. Except TDLDA calculations, present completely analytical can be applied to coated with any number or layers. Contrary previous TDLDA-based models involving an inner outer medium (one two interfaces), all effects (screening absorption) self-consistently calculated. In particular, interband transitions mutual interplay between core treated. deficiencies analyzed, results compared classical Mie's theory, over entire spectral range. building-up absorption spectrum, consisting surface plasmon resonance transitions, clearly observed as cluster size increases.