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- W2153239906 abstract "The extrapolation of small-cluster exact-diagonalization calculations is used to examine the zero-temperature phase diagram of the simplified Hubbard model in an external magnetic field. Using a general expression for hopping matrix elements ${(t}_{mathrm{ij}}ensuremath{sim}{q}^{|iensuremath{-}j|})$ the influence of the long-range hopping (the asymmetry of the density of states) on ground-state properties, and particularly on ferromagnetism is studied. It is found that the long-range hopping (the asymmetric density of states) stabilizes the ferromagnetic state for a wide range of electron interactions $U$ and electron concentrations $n$. The critical value of magnetic field $h$ below which the ferromagnetic state becomes unstable is calculated numerically. It is shown that below this critical value the ferromagnetic state breaks down into a metallic state for weak coupling and an insulating state for strong coupling. The phase diagram of the model in the $hensuremath{-}U$ plane is presented for physically the most interesting cases." @default.
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- W2153239906 date "1998-06-15" @default.
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- W2153239906 title "Phase diagram of the simplified Hubbard model with a generalized type of hopping in an external magnetic field" @default.
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- W2153239906 doi "https://doi.org/10.1103/physrevb.57.14722" @default.
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