均匀矩阵乘积态在周期变化量子相变中的应用
Application of Uniform Matrix Product State to Quantum Phase Transition with a Periodicity Change
摘要：
作为一种超越平均场分析的方法，我们利用具有无公度周期性的矩阵乘积态（MPS）来检测伴随着周期性变化的相变，其中无公度MPS是由具有无公度周期性的局域自旋旋转算符作用于均匀MPS而产生的.作为公度/公度变化，我们计算了$S=1/2$ Heisenberg模型中的部分铁-完全铁相变及其磁化曲线的临界指数。作为公度/非公度变换，我们计算了自旋-自旋关联函数具有周期性变化的双线性和双二次相互作用的S=1海森堡模型.
英文摘要：
As a method beyond the mean-field analysis, a matrix product state (MPS) with incommensurate periodicity is applied to detect phase transitions accompanied with periodicity change, where the incommensurate MPS is generated 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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