A New Two-Pole Approximation in the Hubbard Model. Metal-Insulator Transition

Details A New Two-Pole Approximation in the Hubbard Model. Metal-Insulator Transition A New Two-Pole Approximation in the Hubbard Model. Metal-Insulator Transition

2000-02-22

arxiv.org/abs/cond-mat/0002334v1

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, Latex 2.09, submitted to Phys. Stat. Sol. (B) as a Rapid Research Note

Scientific paper

A new two-pole approximation, which allows to describe the transition from an insulating state to a metallic one at increase of bandwidth, and also the observable in some compounds transition from a metalic state to an insulating one with increasing temperature, is presented. The case of a paramagnetic narrow-band material at half-filling is considered. Single-particle Green function and energy spectrum of electron system are calculated. The expressions for energy gap width and the concentration of polar states (holes or doublons) are obtained. The conditions for metallic and insulating states are found.

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