Exact low-temperature properties of a class of highly frustrated Hubbard models

Details Exact low-temperature properties of a class of highly frustrated Hubbard models Exact low-temperature properties of a class of highly frustrated Hubbard models

2008-07-18

arxiv.org/abs/0807.2991v2

Phys. Rev. B 79, 054403 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 7 figures, accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.79.054403

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.

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