Abstract
The local spin order in the one-dimensional Kondo lattice model is studied for the conduction-electron band filling $n=\frac{1}{2}$ and $\frac{1}{3}$ in a special parameter case. The local spin-dimerization ground state is confirmed for the quarter-filling case. And the spin order is studied for $n=\frac{1}{3}$. The spin and charge gaps are given for different band-filling cases.
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