Abstract
A one-dimensional model of the modified Kondo lattice for $\ensuremath{\nu}$ degenerate conduction electrons interacting with the spin-$\frac{1}{2}$ $\mathrm{XXZ}$ Heisenberg chain is investigated. The model reduces to the $\mathrm{SU}(\ensuremath{\nu}+1)$-invariant anisotropic $t\ensuremath{-}J$ model with field splitting. The ground-state energy, the chemical potential, and the Fermi velocity of electrons have been calculated numerically for an arbitrary density of electrons. The model under consideration is characterized as a (marginal) Tomonago-Luttinger liquid described by $c=1$. We discuss the relevance of the results obtained to various theoretical treatments of the Kondo lattice model.
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