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- W2318085205 abstract "We construct a multi-band Hubbard model on the lattice obtained by “decorating” a closely packed d-dimensional lattice $$mathcal {M}$$ (such as the triangular lattice) where $$dge 2$$ . We take the limits in which the Coulomb interaction and the band gap become infinitely large. Then there remains only a single band with finite energy, on which electrons are supported. Let the electron number be $$N_mathrm {e}=|mathcal {M}|-N_mathrm {h}$$ , where $$|mathcal {M}|$$ corresponds to the electron number which makes the lowest (finite energy) band half-filled, and $$N_mathrm {h}$$ is the number of “holes”. It is expected that the model exhibits metallic ferromagnetism if $$N_mathrm {h}/|mathcal {M}|$$ is nonvanishing but sufficiently small. We prove that the ground states exhibit saturated ferromagnetism if $$N_mathrm {h}le (text {const.})|mathcal {M}|^{2/(d+2)}$$ , and exhibit (not necessarily saturated) ferromagnetism if $$N_mathrm {h}le (text {const.})|mathcal {M}|^{(d+1)/(d+2)}$$ . This may be regarded as a rigorous example of metallic ferromagnetism provided that the system size $$|mathcal {M}|$$ is not too large." @default.
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- W2318085205 date "2016-04-12" @default.
- W2318085205 modified "2023-09-25" @default.
- W2318085205 title "Metallic Ferromagnetism Supported by a Single Band in a Multi-band Hubbard Model" @default.
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- W2318085205 doi "https://doi.org/10.1007/s10955-016-1515-y" @default.
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