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Smallβ expansion for infinite chain limit of one dimensional Hubbard model

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Abstract

The one dimensional Hubbard model can be solved exactly. In the limitN → ∞, the energy per particle remains finite and can be expressed as an integral. The smallβ expansion in this limit is investigated. Several elementary derivations are presented as well as a simple formula which can be used to generate both small and large beta expansions.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    P. Bracken

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  1. P. Bracken
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Bracken, P. Smallβ expansion for infinite chain limit of one dimensional Hubbard model. J Math Chem 16, 159–165 (1994). https://doi.org/10.1007/BF01169204

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  • DOI: https://doi.org/10.1007/BF01169204

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