Symmetry-broken perturbation theory to large orders in antiferromagnetic phases
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866929387443585024 |
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| author | Garioud, R. Šimkovic IV, F. Rossi, R. Spada, G. Schäfer, T. Werner, F. Ferrero, M. |
| author_facet | Garioud, R. Šimkovic IV, F. Rossi, R. Spada, G. Schäfer, T. Werner, F. Ferrero, M. |
| contents | We introduce a spin-symmetry-broken extension of the connected determinant algorithm [Phys. Rev. Lett. 119, 045701 (2017)]. The resulting systematic perturbative expansions around an antiferromagnetic state allow for numerically exact calculations directly inside a magnetically ordered phase. We show new precise results for the magnetic phase diagram and thermodynamics of the three-dimensional cubic Hubbard model at half-filling. With detailed computations of the order parameter in the low to intermediate-coupling regime, we establish the N{é}el phase boundary. The critical behavior in its vicinity is shown to be compatible with the $O(3)$ Heisenberg universality class. By determining the evolution of the entropy with decreasing temperature through the phase transition we identify the different physical regimes at $U/t\!=\!4$. We provide quantitative results for several thermodynamic quantities deep inside the antiferromagnetic dome up to large interaction strengths and investigate the crossover between the Slater and Heisenberg regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_17423 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Symmetry-broken perturbation theory to large orders in antiferromagnetic phases Garioud, R. Šimkovic IV, F. Rossi, R. Spada, G. Schäfer, T. Werner, F. Ferrero, M. Strongly Correlated Electrons We introduce a spin-symmetry-broken extension of the connected determinant algorithm [Phys. Rev. Lett. 119, 045701 (2017)]. The resulting systematic perturbative expansions around an antiferromagnetic state allow for numerically exact calculations directly inside a magnetically ordered phase. We show new precise results for the magnetic phase diagram and thermodynamics of the three-dimensional cubic Hubbard model at half-filling. With detailed computations of the order parameter in the low to intermediate-coupling regime, we establish the N{é}el phase boundary. The critical behavior in its vicinity is shown to be compatible with the $O(3)$ Heisenberg universality class. By determining the evolution of the entropy with decreasing temperature through the phase transition we identify the different physical regimes at $U/t\!=\!4$. We provide quantitative results for several thermodynamic quantities deep inside the antiferromagnetic dome up to large interaction strengths and investigate the crossover between the Slater and Heisenberg regimes. |
| title | Symmetry-broken perturbation theory to large orders in antiferromagnetic phases |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2210.17423 |