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General expressions for the matrix elements of the tight-binding operator within the Racah-Wigner algebra*

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Abstract

General expressions for the matrix elements of the tight-binding operator are presented using the Racah-Wigner algebra, where the wave functions are expressed as coupled multiplet wave functions within a given angular momentum coupling scheme. The knowledge of all possible Slater determinants is not necessary and the matrix elements can be written as compact expressions computable with arbitrary accuracy.

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Authors and Affiliations

  1. Physikalisches Institut, Universität zu Köln, Zülpicher Str. 77, 50937, Köln, Germany

    Thomas Möller

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  1. Thomas Möller
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Correspondence to Thomas Möller.

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Supplementary material in the form of one pdf file available from the Journal web page at http://dx.doi.org/10.1140/epjb/e2016-70500-1

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Möller, T. General expressions for the matrix elements of the tight-binding operator within the Racah-Wigner algebra*. Eur. Phys. J. B 89, 283 (2016). https://doi.org/10.1140/epjb/e2016-70500-1

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  • DOI: https://doi.org/10.1140/epjb/e2016-70500-1

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