  We investigate the magnetic order and related strongly-correlated effects in
an one-dimensional Ising-Kondo lattice with transverse field. This model is the
anisotropic limit of the conventional isotropic Kondo lattice model, in the
sense that the itinerant electrons interact with the localized magnetic moments
via only longitudinal Kondo exchange. Adopting the numerical
density-matrix-renormalization group method, we map out the ground-state phase
diagram in various parameter spaces. Depending on the Kondo coupling and
filling number, three distinct phases, including a metallic paramagnetic, a
metallic ferromagnetic, and a gapped spin-density wave phase, are obtained. The
spin-density wave is characterized by an ordering wave vector which coincides
with the nesting wave vector of the Fermi surface. This makes the corresponding
magnetic transition a spin analog of the Peierls transition occurring in the
one-dimensional metal. Moreover, by analyzing the momentum distribution
function and charge correlation function, the conduction electrons are shown to
behave like free spinless fermions in the ferromagnetic phase. We finally
discuss the effect of the repulsive Hubbard interaction between conduction
electrons. Our work enriches the Kondo physics and deepens the current
understanding of the heavy fermion compounds.
