Spin and charge gaps in the one-dimensional Kondo-lattice model with Coulomb interaction between conduction electrons

Abstract

The density-matrix renormalization-group method is applied to the one-dimensional Kondo-lattice model with the Coulomb interaction between the conduction electrons. The spin and charge gaps are calculated as a function of the exchange constant $J$ and the Coulomb interaction $U_c$. It is shown that both the spin and charge gaps increase with increasing $J$ and $U_c$. The spin gap vanishes in the limit of $J\to 0$ for any $U_c$ with an exponential form, ${\Delta }_s\propto \exp [-1/\alpha (U_c)J\rho ]$. The exponent, $\alpha (U_c)$, is determined as a function of $U_c$. The charge gap is generally much larger than the spin gap. In the limit of $J\to 0$, the charge gap vanishes as ${\Delta }_c=\frac{1}{2}J$ for $U_c=0$ but for a finite $U_c$ it tends to a finite value, which is the charge gap of the Hubbard model.

RevTeX, 4 pages, 3 Postscript figures

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• Semiclassical Solution of One Dimensional Model of Kondo Insulator
• Magnetic impurities coupled to quantum antiferromagnets in one dimension
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