### 摘要

Puzzled by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice, as suggested in Wenzel (2008Phys.Rev.Lett.101127202), we study a similar anisotropic spin-1/2 Heisenberg model on the honeycomb lattice. The critical point where the phase transition occurs due to the dimerization as well as the critical exponent ν are analyzed in great detail. Remarkably, using most of the available data points in conjunction with the expected finite-size scaling ansatz with a sub-leading correction indeed leads to a consistent ν = 0.691(2) with that calculated in Wenzel (2008Phys.Rev.Lett.101127202). However, by using the data with a large number of spins N, we obtain ν = 0.707(6) which agrees with the most accurate Monte Carlo O(3) value ν = 0.7112(5) as well.

原文 | 英語 |
---|---|

文章編號 | P09016 |

期刊 | Journal of Statistical Mechanics: Theory and Experiment |

卷 | 2009 |

發行號 | 9 |

DOIs | |

出版狀態 | 已發佈 - 2009 十二月 28 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty

## 指紋 深入研究「Subtlety of determining the critical exponent ν of the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the honeycomb lattice」主題。共同形成了獨特的指紋。

## 引用此

*Journal of Statistical Mechanics: Theory and Experiment*,

*2009*(9), [P09016]. https://doi.org/10.1088/1742-5468/2009/09/P09016