Optical non-linear response of small metal particles: a complete self-consistent calculation including exchange and correlation

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Abstract
We report a fully self-consistent calculation of the third-order Kerr polarisation in small metal spheres embedded in a dielectric medium. The random phase approximation with exchange is used leading to a fully symmetric expression accounting for the non-locality of the electronic response as well as exchange and correlation. This treatment generalises the results reported in a previous paper by Hache et al. The expression of the octupolar component of the charge density is also given.

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