Abstract
Self-consistent equations corresponding to the single-loop approximation at an arbitrary relation between the Hubbard energy U and hop integral t have been obtained for the determination of the energy spectrum in the Hubbard model. The conditions of the insulator-metal transition, as well as the conditions for the transition from the paradielectric to antiferromagnetic state (spin-density wave), have been determined in the case of an exactly half-filled band.
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