Multi-impurity method for the bond-weighted tensor renormalization group
smorita / bwtrg-multi-impurity
概要
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.
- URL
- https://isspns-gitlab.issp.u-tokyo.ac.jp/smorita/bwtrg-multi-impurity
- DOI
- 10.1103/PhysRevB.111.054433
- 被引用数
- 9 件（OpenAlex、2026-10-05 時点）
- 著者
- Satoshi Morita, Naoki Kawashima
- ライセンス
- CC BY 4.0
- キーワード
- higher-order momentsIsing modelcritical temperature estimationfinite-size scalingBinder parametercorrelation lengthhyperparameter optimizationmatrix product states（論文のキーワード、OpenAlex より）
- カテゴリ
- その他
- 関連文献
- Phys. Rev. B 111, 054433 (2025)
- 連絡先
- smorita__at__keio.jp, kawashima__at__issp.u-tokyo.ac.jp (__at__ を @ に置き換えてください。)
論文と引用
このデータを利用した場合は、次の論文を引用してください。
Satoshi Morita and Naoki Kawashima, "Multi-impurity method for the bond-weighted tensor renormalization group", Physical review. B./Physical review. B 111(5) (2025). https://doi.org/10.1103/PhysRevB.111.054433
BibTeX を表示
@article{Morita_2025, title={Multi-impurity method for the bond-weighted tensor renormalization group}, volume={111}, ISSN={2469-9969}, url={http://dx.doi.org/10.1103/physrevb.111.054433}, DOI={10.1103/physrevb.111.054433}, number={5}, journal={Physical Review B}, publisher={American Physical Society (APS)}, author={Morita, Satoshi and Kawashima, Naoki}, year={2025}, month=Feb }書誌情報とオープンアクセスのリンクは OpenAlex、BibTeX は doi.org（出版社が登録した情報）から取得しています。
README
Multi-impurity method for the bond-weighted tensor renormalization group
About
A multi-impurity method for the bond-weighted tensor renormalization group can accurately calculate the higher-order moments of physical quantities. This repository provides numerical results shown in our paper.
License
We would be grateful if you cite our paper when publishing results using our data.
S. Morita and N. Kawashima, "Multi-impurity method for the bond-weighted tensor renormalization group", Phys. Rev. B 111, 054433 (2025)
https://doi.org/10.1103/PhysRevB.111.054433
Folder structures
- LICENSE
- README.md
- data
- ising (Fig. 4)
- ising_T226 (Fig. 5)
- potts_Q5 (Fig. 6)
- ising_fss (Figs. 7 and 8)
- ising_tc_err (Figs. 9 and 10)
See README.md in each folder for more information on the data. Each folder also contains a sample script for plotting data and its plotting results.
Source code
The BWTRG source code for generating data in this repository will be provided upon request.
Contact
- Satoshi Morita <smorita__at__keio.jp> (Corresponding Author)
- Naoki Kawashima <kawashima__at__issp.u-tokyo.ac.jp>
please replace __at__ by @.
Links
出典: https://isspns-gitlab.issp.u-tokyo.ac.jp/smorita/bwtrg-multi-impurity の README