84 citations · 301 across the 18 of their papers we have counts for
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An extension of the cell-construction method for the flat-band ferromagnetism
Akinori Tanaka
We present an extension of the cell-construction method for the flat-band ferromagnetism. In a rather general setting, we construct Hubbard models with highly degenerate single-ele…
Ferromagnetism in the Hubbard model with a gapless nearly-flat band
Akinori Tanaka
We present a version of the Hubbard model with a gapless nearly-flat lowest band which exhibits ferromagnetism in two or more dimensions. The model is defined on a lattice obtained…
Metallic ferromagnetism supported by a single band in a multi-band Hubbard model
Akinori Tanaka, Hal Tasaki
We construct a multi-band Hubbard model on the lattice obtained by "decorating" a closely packed -dimensional lattice (such as the triangular lattice) where $d\ge2…
One-dimensional extended Hubbard model with spin-triplet pairing ground states
Akinori Tanaka
We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters.…
Nagaoka states in the SU() Hubbard model
Hosho Katsura, Akinori Tanaka
We present an extension of Nagaoka's theorem in the SU() generalization of the infinite- Hubbard model. It is shown that, when there is exactly one hole, the fully polarized…
Ferromagnetism in the Hubbard model with Topological/Non-Topological Flat Bands
Hosho Katsura, Isao Maruyama, Akinori Tanaka +1
We introduce and study two classes of Hubbard models with magnetic flux or with spin-orbit coupling, which have a flat lowest band separated from other bands by a nonzero gap. We s…