Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909265414848512 |
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| author | Kaneko, Tatsuya Ejima, Satoshi Sugimoto, Koudai Kuroki, Kazuhiko |
| author_facet | Kaneko, Tatsuya Ejima, Satoshi Sugimoto, Koudai Kuroki, Kazuhiko |
| contents | We investigate the ground-state properties of a correlated model for the double-chain structure in cuprates. We consider the $t$-$J$ model, in which the nearest-neighbor spin interaction $J_1$ is smaller than the next-nearest-neighbor interaction $J_2$ corresponding to the CuO double-chain structure. We vary $J_1$ from antiferromagnetic to ferromagnetic values and calculate the correlation functions including the superconducting pair correlation function. Employing the density-matrix renormalization group method, we show that the ground state for antiferromagnetic $J_1$ exhibits the hallmarks of the Luther-Emery liquid phase, in which the spin-singlet pair and charge-density-wave correlations exhibit power-law decays against distance, and the spin correlation function decays exponentially. Its signatures are gradually dismissed as $J_1$ approaches the ferromagnetic regime. Our findings suggest that the antiferromagnetic double-chain structure without ferromagnetic bonds is favorable for superconductivity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_16325 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure Kaneko, Tatsuya Ejima, Satoshi Sugimoto, Koudai Kuroki, Kazuhiko Strongly Correlated Electrons Superconductivity We investigate the ground-state properties of a correlated model for the double-chain structure in cuprates. We consider the $t$-$J$ model, in which the nearest-neighbor spin interaction $J_1$ is smaller than the next-nearest-neighbor interaction $J_2$ corresponding to the CuO double-chain structure. We vary $J_1$ from antiferromagnetic to ferromagnetic values and calculate the correlation functions including the superconducting pair correlation function. Employing the density-matrix renormalization group method, we show that the ground state for antiferromagnetic $J_1$ exhibits the hallmarks of the Luther-Emery liquid phase, in which the spin-singlet pair and charge-density-wave correlations exhibit power-law decays against distance, and the spin correlation function decays exponentially. Its signatures are gradually dismissed as $J_1$ approaches the ferromagnetic regime. Our findings suggest that the antiferromagnetic double-chain structure without ferromagnetic bonds is favorable for superconductivity. |
| title | Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2407.16325 |