Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911866020691968 |
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| author | Iskin, M. |
| author_facet | Iskin, M. |
| contents | We investigate the impacts of the quantum geometry of Bloch states, specifically through the band-resolved quantum-metric tensor, on Cooper pairing and flat-band superconductivity in a three-dimensional pyrochlore-Hubbard model. First we analyze the low-lying two-body spectrum exactly, and show that the pairing order parameter is uniform in this four-band lattice. This allowed us to establish direct relations between the superfluid weight of a multiband superconductor and ($i$) the effective mass of the lowest-lying two-body branch at zero temperature, ($ii$) the kinetic coefficient of the Ginzburg-Landau theory in proximity to the critical temperature, and ($iii$) the velocity of the low-energy Goldstone modes at zero temperature. Furthermore, we perform a comprehensive numerical analysis of the superfluid weight and Goldstone modes, exploring both their conventional and geometric components at zero temperature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04270 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model Iskin, M. Superconductivity Quantum Gases Strongly Correlated Electrons We investigate the impacts of the quantum geometry of Bloch states, specifically through the band-resolved quantum-metric tensor, on Cooper pairing and flat-band superconductivity in a three-dimensional pyrochlore-Hubbard model. First we analyze the low-lying two-body spectrum exactly, and show that the pairing order parameter is uniform in this four-band lattice. This allowed us to establish direct relations between the superfluid weight of a multiband superconductor and ($i$) the effective mass of the lowest-lying two-body branch at zero temperature, ($ii$) the kinetic coefficient of the Ginzburg-Landau theory in proximity to the critical temperature, and ($iii$) the velocity of the low-energy Goldstone modes at zero temperature. Furthermore, we perform a comprehensive numerical analysis of the superfluid weight and Goldstone modes, exploring both their conventional and geometric components at zero temperature. |
| title | Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model |
| topic | Superconductivity Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2403.04270 |