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Ferromagnetism in the two-dimensional Hubbard model with long-range hopping

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Central European Journal of Physics

Abstract

The combination of small-cluster exact-diagonalization calculations and the quantum Monte Carlo method is used to examine ferromagnetism in the two-dimensional Hubbard model with a generalized type of hopping. It is found that the long-range hopping with exponentially decaying hopping amplitudes t ij ∼ − q Ri−Rj stabilizes the ferromagnetic state for a wide range of electron interactions U and electron concentrations n > 1. The critical value of the hopping parameter q c above which the ferromagnetic state becomes stable is calculated numerically and the ground-state phase diagram of the model is discussed for physically the most interesting cases.

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Authors and Affiliations

  1. Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, 043 53, Košice, Slovakia

    Pavol Farkašovský & Hana Čenčariková

Authors
  1. Pavol Farkašovský
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  2. Hana Čenčariková
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Farkašovský, P., Čenčariková, H. Ferromagnetism in the two-dimensional Hubbard model with long-range hopping. centr.eur.j.phys. 11, 119–123 (2013). https://doi.org/10.2478/s11534-012-0135-7

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  • DOI: https://doi.org/10.2478/s11534-012-0135-7

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