Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach
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arXiv
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| Format: | Preprint |
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2025
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| author | Zheng, Wayne Zhang, Jia-Xin Yue, Zheng-Yuan Gu, Zheng-Cheng Weng, Zheng-Yu |
| author_facet | Zheng, Wayne Zhang, Jia-Xin Yue, Zheng-Yuan Gu, Zheng-Cheng Weng, Zheng-Yu |
| contents | We apply the fermionic tensor network (TN) state method to understand the strongly correlated nature in a doped Mott insulator. We conduct a comparative study of the $σt$-$J$ model, in which the no-double-occupancy constraint remains unchanged but the quantum phase string effect associated with doped holes is precisely switched off. Thus, the ground state of the $σt$-$J$ model can serve as a well-controlled reference state of the standard $t$-$J$ model. In the absence of phase string, the spin long-range antiferromagnetic (AFM) order is found to be essentially decoupled from the doped holes, and the latter contribute to a Fermi-liquid-like compressibility and a coherent single-particle propagation with a markedly reduced pairing tendency. In contrast, our TN calculations of the $t$-$J$ model indicate that the AFM order decreases much faster with doping and the single-particle propagation of doped holes gets substantially suppressed, concurrently with a much stronger charge compressibility at small doping and a significantly amplified Cooper pairing tendencies. These findings demonstrate that quantum many-body interference from phase strings plays a pivotal role in the $t$-$J$ model, mediating long-range entanglement between spin and charge degrees of freedom. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23851 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach Zheng, Wayne Zhang, Jia-Xin Yue, Zheng-Yuan Gu, Zheng-Cheng Weng, Zheng-Yu Strongly Correlated Electrons We apply the fermionic tensor network (TN) state method to understand the strongly correlated nature in a doped Mott insulator. We conduct a comparative study of the $σt$-$J$ model, in which the no-double-occupancy constraint remains unchanged but the quantum phase string effect associated with doped holes is precisely switched off. Thus, the ground state of the $σt$-$J$ model can serve as a well-controlled reference state of the standard $t$-$J$ model. In the absence of phase string, the spin long-range antiferromagnetic (AFM) order is found to be essentially decoupled from the doped holes, and the latter contribute to a Fermi-liquid-like compressibility and a coherent single-particle propagation with a markedly reduced pairing tendency. In contrast, our TN calculations of the $t$-$J$ model indicate that the AFM order decreases much faster with doping and the single-particle propagation of doped holes gets substantially suppressed, concurrently with a much stronger charge compressibility at small doping and a significantly amplified Cooper pairing tendencies. These findings demonstrate that quantum many-body interference from phase strings plays a pivotal role in the $t$-$J$ model, mediating long-range entanglement between spin and charge degrees of freedom. |
| title | Revealing quantum phase string effect in doped Mott-insulator: a tensor network state approach |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.23851 |