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We study the effects of transverse magnetic fields on the $S=1$one-dimensional Kondo lattice model with a uniaxial anisotropy using thedensity matrix renormalization group. The model can be regarded as a simplifiedone for analyzing the Ising ferromagnetic superconductor URhGe. We find variousphases such as ferromagnetic and antiferromagnetic phases, Kondo plateau (KP)phases, Tomonaga-Luttinger liquids, and fully polarized phases. In the KPphase, a pseudoplateau emerges in the magnetization due to strongly bound pairsbetween the local and the conduction electron spins. This is why we call thisphase the Kondo plateau. At the critical field between the ferromagnetic and KPphases, we find metamagnetic behavior in the magnetization curve. We discussvarious correlation functions and the Friedel oscillations in detail, and theexperimental data under transverse magnetic fields in URhGe are discussed onthe basis of the present results.

Ground-state phase diagram of the $S = 1$ one-dimensional Kondo lattice model with a uniaxial anisotropy under transverse fields