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We investigate the Hubbard chains network model defined on corner-sharingtetrahedra (the pyrochlore lattice) which is a possible microscopic model forthe heavy fermion state of LiV_2O_4. Based upon this model, we can explaintransport, magnetic, and thermodynamic properties of LiV_2O_4. We calculate thespin susceptibility, and the specific heat coefficient, exploiting the Betheansatz exact solution of the 1D Hubbard model and bosonization method. Theresults are quite consistent with experimental observations. We obtain thelarge specific heat coefficient $\gamma\sim 222 {\rm mJ/mol K^2}$.Comment: 5 pages, 2 figures, a postscript file of Figure 1 is not included, to  appear in Physical Review

physical review. b, condensed matter

Hubbard chains network on corner-sharing tetrahedra: Origin of the heavy-fermion state in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">LiV</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Hubbard chains network on corner-sharing tetrahedra: Origin of the heavy-fermion state inLiV2O4