Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
Numerical results for ground-state and excited-state properties (energies, double occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment of our ability to compute accurate results in the...
| Main Authors: | , , , , , , , , , , , , , , , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2015-12-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.5.041041 |
| _version_ | 1818826299671576576 |
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| author | J. P. F. LeBlanc Andrey E. Antipov Federico Becca Ireneusz W. Bulik Garnet Kin-Lic Chan Chia-Min Chung Youjin Deng Michel Ferrero Thomas M. Henderson Carlos A. Jiménez-Hoyos E. Kozik Xuan-Wen Liu Andrew J. Millis N. V. Prokof’ev Mingpu Qin Gustavo E. Scuseria Hao Shi B. V. Svistunov Luca F. Tocchio I. S. Tupitsyn Steven R. White Shiwei Zhang Bo-Xiao Zheng Zhenyue Zhu Emanuel Gull |
| author_facet | J. P. F. LeBlanc Andrey E. Antipov Federico Becca Ireneusz W. Bulik Garnet Kin-Lic Chan Chia-Min Chung Youjin Deng Michel Ferrero Thomas M. Henderson Carlos A. Jiménez-Hoyos E. Kozik Xuan-Wen Liu Andrew J. Millis N. V. Prokof’ev Mingpu Qin Gustavo E. Scuseria Hao Shi B. V. Svistunov Luca F. Tocchio I. S. Tupitsyn Steven R. White Shiwei Zhang Bo-Xiao Zheng Zhenyue Zhu Emanuel Gull |
| author_sort | J. P. F. LeBlanc |
| collection | DOAJ |
| description | Numerical results for ground-state and excited-state properties (energies, double occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment of our ability to compute accurate results in the thermodynamic limit. Many methods are employed, including auxiliary-field quantum Monte Carlo, bare and bold-line diagrammatic Monte Carlo, method of dual fermions, density matrix embedding theory, density matrix renormalization group, dynamical cluster approximation, diffusion Monte Carlo within a fixed-node approximation, unrestricted coupled cluster theory, and multireference projected Hartree-Fock methods. Comparison of results obtained by different methods allows for the identification of uncertainties and systematic errors. The importance of extrapolation to converged thermodynamic-limit values is emphasized. Cases where agreement between different methods is obtained establish benchmark results that may be useful in the validation of new approaches and the improvement of existing methods. |
| first_indexed | 2024-12-19T00:25:27Z |
| format | Article |
| id | doaj.art-08a162cb82304823bb40b7d5f51d3cf6 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-19T00:25:27Z |
| publishDate | 2015-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-08a162cb82304823bb40b7d5f51d3cf62022-12-21T20:45:17ZengAmerican Physical SocietyPhysical Review X2160-33082015-12-015404104110.1103/PhysRevX.5.041041Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical AlgorithmsJ. P. F. LeBlancAndrey E. AntipovFederico BeccaIreneusz W. BulikGarnet Kin-Lic ChanChia-Min ChungYoujin DengMichel FerreroThomas M. HendersonCarlos A. Jiménez-HoyosE. KozikXuan-Wen LiuAndrew J. MillisN. V. Prokof’evMingpu QinGustavo E. ScuseriaHao ShiB. V. SvistunovLuca F. TocchioI. S. TupitsynSteven R. WhiteShiwei ZhangBo-Xiao ZhengZhenyue ZhuEmanuel GullNumerical results for ground-state and excited-state properties (energies, double occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment of our ability to compute accurate results in the thermodynamic limit. Many methods are employed, including auxiliary-field quantum Monte Carlo, bare and bold-line diagrammatic Monte Carlo, method of dual fermions, density matrix embedding theory, density matrix renormalization group, dynamical cluster approximation, diffusion Monte Carlo within a fixed-node approximation, unrestricted coupled cluster theory, and multireference projected Hartree-Fock methods. Comparison of results obtained by different methods allows for the identification of uncertainties and systematic errors. The importance of extrapolation to converged thermodynamic-limit values is emphasized. Cases where agreement between different methods is obtained establish benchmark results that may be useful in the validation of new approaches and the improvement of existing methods.http://doi.org/10.1103/PhysRevX.5.041041 |
| spellingShingle | J. P. F. LeBlanc Andrey E. Antipov Federico Becca Ireneusz W. Bulik Garnet Kin-Lic Chan Chia-Min Chung Youjin Deng Michel Ferrero Thomas M. Henderson Carlos A. Jiménez-Hoyos E. Kozik Xuan-Wen Liu Andrew J. Millis N. V. Prokof’ev Mingpu Qin Gustavo E. Scuseria Hao Shi B. V. Svistunov Luca F. Tocchio I. S. Tupitsyn Steven R. White Shiwei Zhang Bo-Xiao Zheng Zhenyue Zhu Emanuel Gull Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms Physical Review X |
| title | Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms |
| title_full | Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms |
| title_fullStr | Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms |
| title_full_unstemmed | Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms |
| title_short | Solutions of the Two-Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms |
| title_sort | solutions of the two dimensional hubbard model benchmarks and results from a wide range of numerical algorithms |
| url | http://doi.org/10.1103/PhysRevX.5.041041 |
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