Infinite Volume Extrapolations of Finite Cluster Calculations, ---How Correct are These?

S. Mazumdar , F. Guo , D. Guo , K. -C. Ung , J. Tinka Gammel

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classification ❄️ cond-mat

keywords infinitecalculationsclusterextrapolationsfinitehubbardmodelpairing

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Extrapolations of numerical data obtained from finite cluster calculations to the infinite volume limit can often give incorrect results. We discuss four separate cases: (a) the intensity of the lowest two-photon absorption in the infinite polyene, (b) bond alternation in the infinite polyene, (c) Cooper type pairing in the simple Hubbard model, and (d) pairing within the extended Hubbard model.

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Infinite Volume Extrapolations of Finite Cluster Calculations, ---How Correct are These?

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