Pairing on Small Clusters in the Peierls-Hubbard Model: Implications for C$_{60}$

Physics – Condensed Matter

Scientific paper

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to be published in the Proceedings of the International Winterschool on the Electronic Properties of Novel Materials: Fulleren

Scientific paper

We study the pairing within the Peierls-Hubbard Model for electron- and hole-doped analogs of C$_{60}$ accessible to exact diagonalization techniques (cube, truncated tetrahedron, {\it etc.}). We discuss how inclusion of electron-phonon interactions can substantially modify the conclusions about pairing obtained when this coupling is neglected. We also discuss potential pitfalls in the extrapolation from these small system calculations to C$_{60}$, and stress the necessity of having the correct intuitive picture.

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