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Perovskites in high dimensions

Heavy-fermion vs.t-J fixed point

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Zeitschrift für Physik B Condensed Matter

Abstract

We study the (D+1) band Hubbard model on generalizedD-dimensional perovskite structures. We show that in the limit of high dimensions the possible scaling behaviour is uniquely determined via the bandstructure and that the model without direct oxygen-oxygen hopping necessarily scales to the cluster limit. A 1/dimension expansion then leads to at-J like Hamiltonian and the Zhang-Rice analysis becomes rigorous. The large dimension fixed point, in general, still remains the cluster model even when a hopping term between n.n. oxygensites is included. Only for a unique ratio of the oxygen onsite energies to the oxygen-oxygen hopping amplitude is a new fixed point possible, corresponding to a heavy-Fermion Hamiltonian.

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Authors and Affiliations

  1. Institut für Physik, Universität Dortmund, Postfach 500500, W-4600, Dortmund 50, Federal Republic of Germany

    Roser Valentí & Claudius Gros

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  1. Roser Valentí
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  2. Claudius Gros
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Valentí, R., Gros, C. Perovskites in high dimensions. Z. Physik B - Condensed Matter 90, 161–166 (1993). https://doi.org/10.1007/BF02198149

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  • DOI: https://doi.org/10.1007/BF02198149

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