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

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

1993-03-01

arxiv.org/abs/cond-mat/9303003v1

Physics

Condensed Matter

13 pages, in TeX, 9 figures (available upon request from the authors: sumit@roton.physics.arizona.edu). To appear in the Proce

Scientific paper

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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