Exact low-temperature properties of a class of highly frustrated Hubbard models
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We study the repulsive Hubbard model both analytically and numerically on a family of highly frustrated lattices which have one-electron states localized on isolated trapping cells. We construct and count exact many-electron ground states for a wide range of electron densities and obtain closed-form expressions for the low-temperature thermodynamic quantities. Furthermore, we find that saturated ferromagnetism is obtained only for sufficiently high electron densities and large Hubbard repulsion $U$ while there is no finite average moment in the ground states at lower densities.
8 pages, 7 figures, accepted for publication in Phys. Rev. B
8 pages, 7 figures, accepted for publication in Phys. Rev. B