title: Axial interface optical phonon modes in a double-nanoshell system.
abstract: Within the framework of the dielectric continuum (DC) model, we analyze the axial interface optical phonon modes in a double system of nanoshells. This system is constituted by two identical equidistant nanoshells which are embedded in an insulating medium. To illustrate our results, typical II-VI semiconductors are used as constitutive polar materials of the nanoshells. Resolution of Laplace's equation in bispherical coordinates for the potentials derived from the interface vibration modes is made. By imposing the usual electrostatic boundary conditions at the surfaces of the two-nanoshell system, recursion relations for the coefficients appearing in the potentials are obtained, which entails infinite matrices. The problem of deriving the interface frequencies is reduced to the eigenvalue problem on infinite matrices. A truncating method for these matrices is used to obtain the interface phonon branches. Dependences of the interface frequencies on the ratio of inter-nanoshell separation to core size are obtained for different systems with several values of nanoshell interdistance. Effects due to the change of shell and embedding materials are also investigated in interface phonon modes.
authors.affiliation: Departamento de Física, Universidad Carlos III de Madrid, EPS Avenida de la Universidad 30, 28911 Leganés (Madrid), Spain. Departamento de Economía Financiera y Contabilidad II, Universidad Rey Juan Carlos, FCJS, Paseo de los Artilleros s/n, 28032 Madrid, Spain.
authors.forename: C
authors.initials: C
authors.lastname: Kanyinda-Malu
authors.forename: F J
authors.initials: FJ
authors.lastname: Clares
authors.forename: R M
authors.initials: RM
authors.lastname: de la Cruz