Abstract:
We supplement (and critically overview) the existing extensive analysis of antiferromagnetic solution for the Hubbard model with a detailed discussion of two specific features, namely (i) the evolution of the magnetic (Slater) gap (here renormalized by the electronic correlations) into the Mott-Hubbard or atomic gap, and (ii) a rather weak renormalization of the effective mass by the correlations in the half-filled-band case, which contrasts with that for the paramagnetic case. The mass remains strongly enhanced in the non-half-filled-band case. We also stress the difference between magnetic and non-magnetic contributions to the gap. These results are discussed within the slave boson approach in the saddle-point approximation, in which there appears a non-linear staggered molecular field due to the electronic correlations that leads to the appearance of the magnetic gap. They reproduce correctly the ground-state energy in the limit of strong correlations. A brief comparison with the solution in the limit of infinite dimensions and the corresponding situation in the doubly-degenerate-band case with one electron per atom is also made.
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Received 16 December 2002 / Received in final form 5 February 2003 Published online 11 April 2003
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Korbel, P., Wójcik, W., Klejnberg, A. et al. Antiferromagnetism of almost localized fermions: Evolution from Slater-type to Mott-Hubbard gap. Eur. Phys. J. B 32, 315–322 (2003). https://doi.org/10.1140/epjb/e2003-00104-9
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DOI: https://doi.org/10.1140/epjb/e2003-00104-9