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A new method for the excitations of the one-dimensional Hubbard model

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Zeitschrift für Physik B Condensed Matter

Abstract

We present a new method to solve the nested Bethe Ansatz equations for the one-dimensional Hubbard model. First the “spin problem” is solved completely by using inversion/functional relations and an equivalence to the eight-vertex model. Secondly we solve the “electronic problem”, i.e. we determine the ground state of the half-filled band and all finite energy excitations relative to this case. Apart from the calculation of the energy bands we also derive basic equations for the characteristic parameters which determine the excited states.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, D-5000, Köln 41, Germany

    A. Klümper, A. Schadschneider & J. Zittartz

Authors
  1. A. Klümper
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  2. A. Schadschneider
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  3. J. Zittartz
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Additional information

Dedicated to Professor W. Brenig on the occasion of his 60th birthday

Work performed within the research program of the Sonderforschungsbereich 341, Köln-Aachen-Jülich

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Klümper, A., Schadschneider, A. & Zittartz, J. A new method for the excitations of the one-dimensional Hubbard model. Z. Physik B - Condensed Matter 78, 99–109 (1990). https://doi.org/10.1007/BF01317362

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  • DOI: https://doi.org/10.1007/BF01317362

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