Application of Uniform Matrix Product State to Quantum Phase Transition with a Periodicity Change
Abstract
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 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.
Keywords
Cite
@article{arxiv.1111.3488,
title = {Application of Uniform Matrix Product State to Quantum Phase Transition with a Periodicity Change},
author = {Hiroshi Ueda and Isao Maruyama},
journal= {arXiv preprint arXiv:1111.3488},
year = {2015}
}
Comments
4 pages, 3 figures, Supplement (Proc. TOKIMEKI2011) Program No.25-P-36