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We investigate the ground-state properties of the one-dimensional two-bandHubbard model with different bandwidths. The density-matrix renormalizationgroup method is applied to calculate the averaged electron occupancies $n$ as afunction of the chemical potential $\mu$. Both at quarter and half fillings,"charge plateaux" appear in the $n$-$\mu$ plot, where $d\mu/dn$ diverges andthe Mott insulating states are realized. To see how the orbital polarization inthe one-quarter charge plateau develops, we apply the second-order perturbationtheory from the strong-coupling limit at quarter filling. The resultantKugel-Khomskii spin-orbital model includes a $magnetic$ field coupled toorbital pseudo-spins. This field originates from the discrepancy between thetwo bandwidths and leads to a finite orbital pseudo-spin magnetization.

Mott insulating state in a quarter-filled two-orbital Hubbard chain with different bandwidths