Inversion of Optical Reflectance in the Fullerenes

Physics – Condensed Matter – Superconductivity

Scientific paper

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8 pages, 7 figures, paper presented at the XXII School of Theoretical Physics, Ustron '98, "Quantum Coherence in Superconducto

Scientific paper

Since the discovery of superconductivity in the alkali-doped fullerenes \cite{hebard}, the electron-phonon interaction has been the primary suspect for superconductivity in this class of compounds. In this paper we first provide a pedagogical review of how the question of mechanism has traditionally been settled, and then some well-known properties of the optical reflectance (and the derived conductance) are summarized. Finally we demonstrate how a recently derived inversion procedure can use the optical properties of a metal to infer the magnitude of the electron-phonon interaction. We conclude that in the case of the alkali-doped fullerenes, the electron-phonon interaction is sufficiently strong to explain the transition temperatues found in these the materials.

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