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The magnetic properties of a trigonal prism unit of the spin-2 frustratedcompound Ca3Co2O6 are studied by means of the density-matrix renormalizationgroup method. A magnetization plateau at $ms/3$ ($ms$ is the saturationmagnetization) with ferrimagnetic structure is observed. By fitting theexperimental data of magnetic curve, an estimation of the couplings givesJ1=-26.84K, J_{2}=0.39K, and J_{3}=0.52K. The local magnetic moments areunveiled to exhibit an incommensurate sinusoidally modulation along the threechains of the trigonal prism, which gives a strong theoretical support to theexperimentally observed incommensurate partially disordered antiferromagneticstate for Ca3Co2O6. The present result suggests that the modulation indeedoriginates from the competition of antiferromagnetic and ferromagneticcouplings.

Magnetization plateau and incommensurate spin modulation in Ca3Co2O6