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AbstractThe author investigates the U= infinity Hubbard model on a large class of lattices which are line graphs. The most interesting lattices in this class are line graphs of regular bipartite lattices with Ns sites and coordination number k>or=4. The ground state energy and some ground states are given. If the number of electrons N satisfies Ns>or=N>or=2Ns/k-2, the ground state energy is -4 mod t mod (Ns-N). The ground states have no magnetic ordering, they are projections of the ground states at U=0 onto the subspace of states without doubly occupied sites.
title="Exact results for the $U=\infty$ Hubbard model",
journal="J. Phys. A: Math. Gen.",
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Last changes: 28.1.2018.