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

1993/03/01 by S. Mazumdar, F. Guo, Mazumdar, S. +8
Chemical Engineering · Earth and Planetary Sciences · Physics and Astronomy · #Advanced Chemical Physics Studies #Catalysis and Oxidation Reactions #Condensed Matter (cond-mat) #FOS: Physical sciences #High-pressure geophysics and materials #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9303003

13 pages, in TeX, 9 figures (available upon request from the authors: [email protected]). To appear in the Proceedings of the Discussion Meeting on Strongly Correlated Systems in Chemistry, Bangalore, India, 4-8 January 1993

arxiv created 1993/03/01 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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