Abstract
The critical properties of the frustrated Kondo necklace model with a half saturation magnetization $(m=1/2)$ have been studied by means of an exact-diagonalization method. It is shown from bosonization technique that the model can be effectively expressed as a quantum sine-Gordon model. Thus it may show three (dimer plateau, N\'eel plateau and Tomonaga-Luttinger liquid) phases due to competitions among the Ising anisotropy $\ensuremath{\Delta},$ and the nearest- and next-nearest-neighbor exchange interactions ${J}_{1}$ and ${J}_{2}.$ The boundary lines on the $\ensuremath{\Delta}$-${J}_{2}{/J}_{1}$ phase diagram separating the three phases are determined by the method of level spectroscopy, based on the conformal field theory.
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