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The metal-insulator transition of the quarter-filled Hubbard model ontriangular lattice is studied at the mean field level. We find a quasi-onedimensional metallic state with a collinear magnetic order competes closelywith an insulating state with a non-coplanar magnetic order for both signs ofthe hopping integral $t$. In the strong correlation regime($U/|t|\gg1$), it isfound that the metal-insulator transition of the system occurs in a two-stepmanner. The quasi-one dimensional metallic state with collinear magnetic orderis found to be stable in an intermediate temperature region between theparamagnetic metallic phase and the non-coplanar insulating phase. Possiblerelevance of these results to the physics of metal-insulator transition in$Na_{0.5}CoO_{2}$ is discussed.

Metal-insulator transition in quarter-filled Hubbard model on triangular lattice and its implication for the physics of $Na_{0.5}CoO_{2}$