QSpinTN.ml is a package for the many-body simulations of the spin system (both ground state and finite-temperature) and an advanced tool for thermal data analysis of magnetic quantum materials.
- Exact diagonalization (ED, as a high-T solver);
- Density matrix renormalization group (DMRG, as a ground state solver for quasi-1D and 2D magnets);
- Linearized tensor renormalization group (iLTRG, as a low-T solver for 1D spin chain materials, etc);
- Exponential tensor renormalization group (XTRG, as a low-T solver for quasi-1D and 2D magnets, etc).
- Tangent space tensor renormalization group (tanTRG, as a low-T solver for quasi-1D and 2D magnets, etc).
Here we provide some examples in Example/. Feel free to give it a try!
- Yuan Gao, Beihang University
e-mail: yuangao@buaa.edu.cn - Wei Li, ITP-CAS
e-mail: w.li@itp.ac.cn
Please join our Slack community and say hello.
- Sizhuo Yu, CentraleSupélec
- Bin-Bin Chen, Beihang University
- Qiaoyi Li, ITP-CAS
- Dai-Wei Qu, UCAS
- Han Li, Beijing Jiaotong University
- Enze Lv, ITP-CAS
@article{QMagen2021,
title = {Learning the Effective Spin {H}amiltonian of a Quantum Magnet},
author = {Sizhuo Yu and Yuan Gao and Bin-Bin Chen and Wei Li},
publisher = {Chin. Phys. Lett.},
year = {2021},
journal = {Chin. Phys. Lett.},
volume = {38},
number = {9},
eid = {097502},
pages = {097502},
url = {http://cpl.iphy.ac.cn/EN/abstract/article_115992.shtml},
doi = {10.1088/0256-307X/38/9/097502}
} @article{LTRG2011,
title = {Linearized Tensor Renormalization Group Algorithm for the Calculation of Thermodynamic Properties of Quantum Lattice Models},
author = {Li, W. and Ran, S.-J. and Gong, S.-S. and Zhao, Y. and Xi, B. and Ye, F. and Su, G.},
journal = {Phys. Rev. Lett.},
volume = {106},
issue = {12},
pages = {127202},
numpages = {4},
year = {2011},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.106.127202},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.106.127202}
}@article{BilayerLTRG2017,
Author = {Dong, Y.-L. and Chen, L. and Liu, Y.-J. and Li, W.},
Doi = {10.1103/PhysRevB.95.144428},
Issue = {14},
Journal = {Phys. Rev. B},
Month = {Apr},
Numpages = {10},
Pages = {144428},
Publisher = {American Physical Society},
Title = {Bilayer linearized tensor renormalization group approach for thermal tensor networks},
Url = {https://link.aps.org/doi/10.1103/PhysRevB.95.144428},
Volume = {95},
Year = {2017},
Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.95.144428},
Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.95.144428}
}@article{SETTN2017,
Author = {Chen, B.-B. and Liu, Y.-J. and Chen, Z. and Li, W.},
Doi = {10.1103/PhysRevB.95.161104},
Issue = {16},
Journal = {Phys. Rev. B},
Month = {Apr},
Numpages = {5},
Pages = {161104(R)},
Publisher = {American Physical Society},
Title = {Series-expansion thermal tensor network approach for quantum lattice models},
Url = {https://link.aps.org/doi/10.1103/PhysRevB.95.161104},
Volume = {95},
Year = {2017},
Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.95.161104},
Bdsk-Url-2 = {http://dx.doi.org/10.1103/PhysRevB.95.161104}
}@Article{XTRG2018,
title = {Exponential Thermal Tensor Network Approach for Quantum Lattice Models},
author = {Chen, B.-B. and Chen, L. and Chen, Z. and Li, W. and Weichselbaum, A.},
journal = {Phys. Rev. X},
volume = {8},
issue = {3},
pages = {031082},
numpages = {29},
year = {2018},
publisher = {American Physical Society},
doi = {10.1103/PhysRevX.8.031082},
url = {https://link.aps.org/doi/10.1103/PhysRevX.8.031082}
}@article{XTRG2019,
title = {Thermal tensor renormalization group simulations of square-lattice quantum spin models},
author = {Li, H. and Chen, B.-B. and Chen, Z. and von Delft, J. and Weichselbaum, A. and Li, W.},
journal = {Phys. Rev. B},
volume = {100},
issue = {4},
pages = {045110},
numpages = {17},
year = {2019},
publisher = {American Physical Society},
doi = {10.1103/PhysRevB.100.045110},
url = {https://link.aps.org/doi/10.1103/PhysRevB.100.045110}
}@article{tanTRG2023,
title = {Tangent Space Approach for Thermal Tensor Network Simulations of the 2D {H}ubbard Model},
author = {Li, Qiaoyi and Gao, Yuan and He, Yuan-Yao and Qi, Yang and Chen, Bin-Bin and Li, Wei},
journal = {Phys. Rev. Lett.},
volume = {130},
issue = {22},
pages = {226502},
numpages = {8},
year = {2023},
month = {Jun},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.130.226502},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.130.226502}
}@article{TDVP2011,
title = {Time-Dependent Variational Principle for Quantum Lattices},
author = {Haegeman, Jutho and Cirac, J. Ignacio and Osborne, Tobias J. and Pi\ifmmode \check{z}\else \v{z}\fi{}orn, Iztok and Verschelde, Henri and Verstraete, Frank},
journal = {Phys. Rev. Lett.},
volume = {107},
issue = {7},
pages = {070601},
numpages = {5},
year = {2011},
month = {Aug},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.107.070601},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.107.070601}
}@article{TDVP2016,
title = {Unifying Time Evolution and Optimization with Matrix Product States},
author = {Haegeman, Jutho and Lubich, Christian and Oseledets, Ivan and Vandereycken, Bart and Verstraete, Frank},
journal = {Phys. Rev. B},
volume = {94},
issue = {16},
pages = {165116},
numpages = {10},
year = {2016},
month = {Oct},
publisher = {American Physical Society},
doi = {10.1103/PhysRevB.94.165116},
url = {https://link.aps.org/doi/10.1103/PhysRevB.94.165116}
}@article{DMRG1992,
title = {Density matrix formulation for quantum renormalization groups},
author = {White, Steven R.},
journal = {Phys. Rev. Lett.},
volume = {69},
issue = {19},
pages = {2863--2866},
numpages = {0},
year = {1992},
month = {Nov},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.69.2863},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.69.2863}
}