The Mottness and the Anderson localization in bilayer nickelate La$_3$Ni$_2$O$_{7-δ}$
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918156828672000 |
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| author | Wang, Yuxin Chen, Ziyan Zhang, Yi Jiang, Kun Hu, Jiangping |
| author_facet | Wang, Yuxin Chen, Ziyan Zhang, Yi Jiang, Kun Hu, Jiangping |
| contents | The oxygen content plays a pivotal role in determining the electronic and superconducting properties of the recently discovered La$_3$Ni$_2$O$_{7-δ}$ superconductors. In this work, we investigate the impact of oxygen vacancies on the insulating behavior of La$_3$Ni$_2$O$_{7-δ}$ across the doping range $δ= 0$ to $0.5$. At $δ= 0.5$, we construct a bilayer two-orbital Hubbard model to describe the system. Using dynamical mean-field theory, we demonstrate that the model captures the characteristics of a bilayer Mott insulator. To explore the effects of disorder within the range $δ= 0$ to $0.5$, we treat the system as a mixture of metallic and Mott insulating phases. By applying the dynamical cluster approximation and the typical medium dynamical cluster approximation, we identify an Anderson localization transition at a critical doping of $δ\sim 0.2$ through the geometric average of the local density of states. This Anderson localization transition is the key reason for the suppression of superconductivity in La$_3$Ni$_2$O$_{7-δ}$. These results provide a quantitative explanation of recent experimental observations and highlight the critical influence of oxygen content on the physical properties of La$_3$Ni$_2$O$_{7-δ}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08536 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Mottness and the Anderson localization in bilayer nickelate La$_3$Ni$_2$O$_{7-δ}$ Wang, Yuxin Chen, Ziyan Zhang, Yi Jiang, Kun Hu, Jiangping Strongly Correlated Electrons Superconductivity The oxygen content plays a pivotal role in determining the electronic and superconducting properties of the recently discovered La$_3$Ni$_2$O$_{7-δ}$ superconductors. In this work, we investigate the impact of oxygen vacancies on the insulating behavior of La$_3$Ni$_2$O$_{7-δ}$ across the doping range $δ= 0$ to $0.5$. At $δ= 0.5$, we construct a bilayer two-orbital Hubbard model to describe the system. Using dynamical mean-field theory, we demonstrate that the model captures the characteristics of a bilayer Mott insulator. To explore the effects of disorder within the range $δ= 0$ to $0.5$, we treat the system as a mixture of metallic and Mott insulating phases. By applying the dynamical cluster approximation and the typical medium dynamical cluster approximation, we identify an Anderson localization transition at a critical doping of $δ\sim 0.2$ through the geometric average of the local density of states. This Anderson localization transition is the key reason for the suppression of superconductivity in La$_3$Ni$_2$O$_{7-δ}$. These results provide a quantitative explanation of recent experimental observations and highlight the critical influence of oxygen content on the physical properties of La$_3$Ni$_2$O$_{7-δ}$. |
| title | The Mottness and the Anderson localization in bilayer nickelate La$_3$Ni$_2$O$_{7-δ}$ |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2501.08536 |