Hubbard-I approach to the Mott transition

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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Scientific paper

A Hubbard-I like approach is reconsidered in the context of the metal-insulator transition in strongly correlated electron systems. We show that this approach yields a simple treatment of the transition (at half-filling) and the metallic phase (for arbitrary fillings) in a constrained Hubbard model, that is equivalent to a particular case of a Hubbard bond charge Hamiltonian on bipartite lattices. These calculations, which are to our knowledge the first Hubbard-I calculations for this model, yield results which compare well with known results for this model. For half filling, we also compare these results with those obtained using the Gutzwiller approximation. Finally, we propose a candidate variational wave function connecting the Gutzwiller wave function approach with the scheme presented here.

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