Identifying two-dimensional topological phase transition by entanglement spectrum : A fermion Monte Carlo study
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| author | Jiang, Weilun Luo, Xiaofan Mao, Bin-Bin Yan, Zheng |
| author_facet | Jiang, Weilun Luo, Xiaofan Mao, Bin-Bin Yan, Zheng |
| contents | Among many types of quantum entanglement properties, the entanglement spectrum provides more abundant information than other observables. Exact diagonalization and density matrix renormalization group method could handle the system in one-dimension properly, while in higher dimension, it exceeds the capacity of the algorithms. To expand the ability of existing numerical methods, we takes a different approach via quantum Monte Carlo algorithm. By exploiting particle number and spin symmetry, we realize an efficient algorithms to solve the entanglement spectrum in the interacting fermionic system. Taking two-dimensional interacting Su-Schrieffer-Heeger as example, we verify the existence of topological phase transition under different types of many-body interactions. The calculated particle number distribution and wave-function of entanglement Hamiltonian indicate that the two belong distinct types of topological phase transitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02679 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identifying two-dimensional topological phase transition by entanglement spectrum : A fermion Monte Carlo study Jiang, Weilun Luo, Xiaofan Mao, Bin-Bin Yan, Zheng Strongly Correlated Electrons Statistical Mechanics Quantum Physics Among many types of quantum entanglement properties, the entanglement spectrum provides more abundant information than other observables. Exact diagonalization and density matrix renormalization group method could handle the system in one-dimension properly, while in higher dimension, it exceeds the capacity of the algorithms. To expand the ability of existing numerical methods, we takes a different approach via quantum Monte Carlo algorithm. By exploiting particle number and spin symmetry, we realize an efficient algorithms to solve the entanglement spectrum in the interacting fermionic system. Taking two-dimensional interacting Su-Schrieffer-Heeger as example, we verify the existence of topological phase transition under different types of many-body interactions. The calculated particle number distribution and wave-function of entanglement Hamiltonian indicate that the two belong distinct types of topological phase transitions. |
| title | Identifying two-dimensional topological phase transition by entanglement spectrum : A fermion Monte Carlo study |
| topic | Strongly Correlated Electrons Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2503.02679 |