Study of a toy model and its relation to the Hubbard model with infinite range hopping

Physics – Condensed Matter

Scientific paper

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13 pages, no figures, e-mail: flaviono@cbpfsu1.cat.cbpf.br

Scientific paper

A toy model of strongly correlated fermions is studied using Green function
and functional integration methods. The model exhibits a metal-insulator
transition as the interaction is varied. In the case of unrestricted hopping is
established the equivalence of the model with the Hubbard model with infinite
range hopping. The generalization to the case with $N$ components is made.

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