Variational Monte Carlo study of stripes as a function of doping in the $t-t'$ Hubbard model
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913420167610368 |
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| author | Lechiara, Antonio Marino, Vito Tocchio, Luca F. |
| author_facet | Lechiara, Antonio Marino, Vito Tocchio, Luca F. |
| contents | We perform variational Monte Carlo simulations of the single-band Hubbard model on the square lattice with both nearest ($t$) and next-nearest ($t'$) neighbor hoppings. Our work investigates the consequences of increasing hole doping on the instauration of stripes and the behavior of the superconducting order parameter, with a discussion on how the two phenomena affect each other. We consider two different values of the next-nearest neighbor hopping parameter, that are appropriate for describing cuprate superconductors. We observe that stripes are the optimal state in a wide doping range; the stripe wavelength reduces at increasing doping, until stripes melt into a uniform state for large values of doping. Superconducting pair-pair correlations, indicating the presence of superconductivity, are always suppressed in the presence of stripes. Our results suggest that the phase diagram for the single-band Hubbard model is dominated by stripes, with superconductivity being possible only in a narrow doping range between striped states and a nonsuperconducting metal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02073 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variational Monte Carlo study of stripes as a function of doping in the $t-t'$ Hubbard model Lechiara, Antonio Marino, Vito Tocchio, Luca F. Strongly Correlated Electrons Superconductivity We perform variational Monte Carlo simulations of the single-band Hubbard model on the square lattice with both nearest ($t$) and next-nearest ($t'$) neighbor hoppings. Our work investigates the consequences of increasing hole doping on the instauration of stripes and the behavior of the superconducting order parameter, with a discussion on how the two phenomena affect each other. We consider two different values of the next-nearest neighbor hopping parameter, that are appropriate for describing cuprate superconductors. We observe that stripes are the optimal state in a wide doping range; the stripe wavelength reduces at increasing doping, until stripes melt into a uniform state for large values of doping. Superconducting pair-pair correlations, indicating the presence of superconductivity, are always suppressed in the presence of stripes. Our results suggest that the phase diagram for the single-band Hubbard model is dominated by stripes, with superconductivity being possible only in a narrow doping range between striped states and a nonsuperconducting metal. |
| title | Variational Monte Carlo study of stripes as a function of doping in the $t-t'$ Hubbard model |
| topic | Strongly Correlated Electrons Superconductivity |
| url | https://arxiv.org/abs/2403.02073 |