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Ferromagnetism in the asymmetric Hubbard model

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Abstract

The density matrix renormalization group and quantum Monte Carlo calculations are used to study ferromagnetism in the one- and two-dimensional asymmetric Hubbard model. The model is examined for a wide range of electron concentrations n, Coulomb interactions U and down-spin electron hopping integrals t ↓ changing from t ↓ = 0 (the case of the Falicov-Kimball model) to t ↓ = 1 (the case of the conventional Hubbard model). The critical value of the down-spin electron hopping integral t c↓ below which the ferromagnetic state becomes stable is calculated numerically and the ground-state phase diagram of the model (in the t ↓-U plane) is presented for physically the most interesting cases (n = 1 / 4,1 / 2 and 3/4). It is shown that at fixed U the ferromagnetic state is stabilized with increasing concentration of holes (1 − n) in the system, and at fixed n the ferromagnetic state is generally stabilized with increasing U.

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  1. Institute of Experimental Physics, Slovak Academy of Sciences Watsonova 47, 04353, Košice, Slovakia

    P. Farkašovský

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  1. P. Farkašovský
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Farkašovský, P. Ferromagnetism in the asymmetric Hubbard model. Eur. Phys. J. B 85, 253 (2012). https://doi.org/10.1140/epjb/e2012-30306-9

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  • DOI: https://doi.org/10.1140/epjb/e2012-30306-9

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