2 Particles in the Hubbard-Model - Topology Versus Pauli Exclusion

Martin Long, R Fehrenbacher

Research output: Contribution to journalArticle

8 Citations (Scopus)


We solve the Hubbard model for the case of two particles on an arbitrary Bravais lattice exactly. Although the ground state is almost always a spin singlet, agreeing with the work of Kanamori, for topologically frustrated lattices with positive hopping matrix elements, we find that the ground state is a spin triplet. This topological effect is shown to be rather weak, and does not always survive the jump to finite densities in the thermodynamic limit, where Pauli exclusion strongly stabilises a low spin state. For the two-dimensional triangular lattice and the three-dimensional face-centred cubic lattice, the competition is fiercer and it is not clear whether the ferromagnetism survives.
Original languageEnglish
Pages (from-to)10343-10358
Number of pages16
JournalJournal of Physics: Condensed Matter
Issue number51
Publication statusPublished - 31 Dec 1990


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