.png){kind=icon}
返回
Multi-impurity method for the bond-weighted tensor renormalization group
.png){kind=icon}
PRE
AI
DOI：10.1103/PhysRevB.111.054433.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
We propose a multi-impurity method for the bond-weighted tensor renormalization group (BWTRG) to compute the higher-order moment of physical quantities in a two-dimensional system. The replacement of the bond weight with an impurity matrix in a bond-weighted triad tensor network represents a physical quantity such as the magnetization and the energy. We demonstrate that the accuracy of the proposed method is much higher than the conventional tensor renormalization group for the Ising model and the five-state Potts model. Furthermore, we perform the finite-size scaling analysis and observe that the dimensionless quantity characterizing the structure of the fixed point tensor satisfies the same scaling relation in the critical region as the Binder parameter. The estimated critical temperature dependence on the bond dimension indicates that the exponent relating the correlation length to the bond dimension varies continuously with respect to the BWTRG hyperparameter. We find that BWTRG with the optimal hyperparameter is more efficient in terms of computational time than alternative approaches based on the matrix product state in estimating the critical temperature.
Keyword:
MODEL
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
机构
引用论文
Global optimization of tensor renormalization group using the corner transfer matrix.png)
PHYSICAL REVIEW B
OAAI
PHYSICAL REVIEW BIF3.7
OAAI分享收藏
Quality of life among total laryngectomized patients undergoing speech rehabilitation: correlation between several instrumentsClinicsOAAI
ClinicsIF0
OAAI分享收藏Renormalization of tensor networks using graph-independent local truncations使用与图无关的局部截断对张量网络进行重新归一化PHYSICAL REVIEW BOAAI
PHYSICAL REVIEW BIF3.7
OAAI分享收藏
查看更多内容