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Geometrical frustration induced (semi-)metal to insulator transition

Satoshi Fujimoto
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Abstract

We study the low-energy properties of the geometrically frustrated Hubbard model on a three-dimensional pyrochlore lattice and a two-dimensional checkerboard lattice on the basis of the renormalization group method and mean field analysis. It is found that in the half-filling case, a (semi-)metal to insulator transition (MIT) occurs. Also, in the insulating phase, which has a spin gap, the spin rotational symmetry is not broken, while charge ordering exists. The results are applied to the description of the MIT observed in the pyrochlore system ${\rm Tl_2Ru_2O_7}$.

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Satoshi Fujimoto. 2002-11-08. Geometrical frustration induced (semi-)metal to insulator transition. https://doi.org/10.1103/physrevlett.89.226402

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