Phase diagram and critical properties of the frustrated Kondo necklace model in a magnetic field

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-Gordom model. Thus it may show three (dimer plateau, N{é}el plateau and Tomonaga-Luttinger liquid) phases due to competitions among the Ising anisotropy $\Delta$, and the nearest- and next-nearest-neighbor exchange interactions $J_1$ and $J_2$. The boundary lines on the $\Delta -J_2/J_1$ phase diagram separating the three phases are determined by the method of level spectroscopy based on the conformal field theory.

5 pages, 5 figures

References in corpus (1)

• Level Spectroscopy: Physical Meaning and Application to the Magnetization Plateau Problems

Cited by in corpus (5)

• Antiferromagnetic and spin gap phases of the anisotropic Kondo necklace model
• Exotic Ground State Phases of $S=1/2$ Heisenberg $\Delta$-Chain with Ferromagnetic Main Chain
• Field induced quantum phase transition in the anisotropic Kondo necklace model
• Magnetization cusp singularities of frustrated Kondo necklace model
• Realization of a triangular spin necklace in a verdazyl-based Ni complex