Abstract
As a method beyond the mean-field analysis, a matrix product state (MPS) with incommensurate periodicity is applied to detection of phase transitions accompanied with periodicity change. The incommensurate MPS is constructed by acting local-spin-rotation operators with the incommensurate periodicity on a uniform MPS. As a commensurate/commensurate change, we calculate the partial ferro–perfect ferro phase transition in the S =1/2 Heisenberg model and its critical exponent of the magnetization curve. As a commensurate/incommensurate change, we calculate the S =1 Heisenberg model with bilinear and biquadratic interactions which has periodicity change in the spin–spin correlation function.
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