Slave-Boson Functional-Integral Approach to the Hubbard Model with Orbital Degeneracy

Details Slave-Boson Functional-Integral Approach to the Hubbard Model with Orbital Degeneracy Slave-Boson Functional-Integral Approach to the Hubbard Model with Orbital Degeneracy

1996-12-16

arxiv.org/abs/cond-mat/9612142v2

J. Phys. Soc. Jpn. 66 (1997) 1391-97

Physics

Condensed Matter

Strongly Correlated Electrons

Latex 20 pages, 9 figures available on request to hasegawa@u-gakugei.ac.jp Note: published in J. Physical Society of Japan wit

Scientific paper

10.1143/JPSJ.66.1391

A slave-boson functional-integral method has been developed for the Hubbard model with arbitrary, orbital degeneracy $D$. Its saddle-point mean-field theory is equivalent to the Gutzwiller approximation, as in the case of single-band Hubbard model. Our theory is applied to the doubly degenerate ($D = 2$) model, and numerical calculations have been performed for this model in the paramagnetic states. The effect of the exchange interaction on the metal-insulator (MI) transition is discussed. The critical interaction for the MI transition is analytically calculated as functions of orbital degeneracy and electron occupancy.

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