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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.11598 |
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| _version_ | 1866909942229762048 |
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| author | Chen, Jia-Lin Fan, Zhen Zhan, Bo Hu, Jiahang Liu, Tong Ji, Junyi Wang, Kang Liao, Hai-Jun Xiang, Tao |
| author_facet | Chen, Jia-Lin Fan, Zhen Zhan, Bo Hu, Jiahang Liu, Tong Ji, Junyi Wang, Kang Liao, Hai-Jun Xiang, Tao |
| contents | We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our findings reveal two distinct thermodynamic phases: a low-temperature antiferromagnetic phase, where spin SU(2) symmetry is broken, and a high-temperature paramagnetic phase. A key feature of the system is the separation of energy scales for charge and spin excitations, which is reflected in the temperature dependence of thermodynamic quantities and the disparity between spin and charge gaps extracted from their respective susceptibilities. At the critical point, both spin and charge susceptibilities exhibit singularities, suggesting that charge excitations are not fully decoupled from their spin counterparts. Additionally, the double occupancy number exhibits a non-monotonic temperature dependence, indicative of an entropy-driven Pomeranchuk effect. These results demonstrate that the loopless Bethe lattice effectively captures the essential physics of the Hubbard model while providing a computationally efficient framework for studying strongly correlated electronic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11598 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of the Hubbard Model on the Bethe Lattice Chen, Jia-Lin Fan, Zhen Zhan, Bo Hu, Jiahang Liu, Tong Ji, Junyi Wang, Kang Liao, Hai-Jun Xiang, Tao Strongly Correlated Electrons We investigate the thermodynamic properties of the Hubbard model on the Bethe lattice with a coordination number of 3 using the thermal canonical tree tensor network method. Our findings reveal two distinct thermodynamic phases: a low-temperature antiferromagnetic phase, where spin SU(2) symmetry is broken, and a high-temperature paramagnetic phase. A key feature of the system is the separation of energy scales for charge and spin excitations, which is reflected in the temperature dependence of thermodynamic quantities and the disparity between spin and charge gaps extracted from their respective susceptibilities. At the critical point, both spin and charge susceptibilities exhibit singularities, suggesting that charge excitations are not fully decoupled from their spin counterparts. Additionally, the double occupancy number exhibits a non-monotonic temperature dependence, indicative of an entropy-driven Pomeranchuk effect. These results demonstrate that the loopless Bethe lattice effectively captures the essential physics of the Hubbard model while providing a computationally efficient framework for studying strongly correlated electronic systems. |
| title | Thermodynamics of the Hubbard Model on the Bethe Lattice |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.11598 |