Finite-range effect in the two-dimensional density-induced BCS-BEC crossover
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913270865068032 |
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| author | Sakakibara, Hikaru Tajima, Hiroyuki Liang, Haozhao |
| author_facet | Sakakibara, Hikaru Tajima, Hiroyuki Liang, Haozhao |
| contents | We theoretically investigate the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) crossover in a two-dimensional Fermi gas with the finite-range interaction by using the Hartree-Fock-Bogoliubov theory. Expanding the scattering phase shift in terms of the scattering length and effective range, we discuss the effect of the finite-range interaction on the pairing and thermodynamic properties. By solving the gap equation and the number equation self-consistently, we numerically calculate the effective-range dependence of the pairing gap, chemical potential, and pair size throughout the BCS-BEC crossover. Our results would be useful for further understanding of low-dimensional many-body problems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_02127 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite-range effect in the two-dimensional density-induced BCS-BEC crossover Sakakibara, Hikaru Tajima, Hiroyuki Liang, Haozhao Quantum Gases Superconductivity We theoretically investigate the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensation (BEC) crossover in a two-dimensional Fermi gas with the finite-range interaction by using the Hartree-Fock-Bogoliubov theory. Expanding the scattering phase shift in terms of the scattering length and effective range, we discuss the effect of the finite-range interaction on the pairing and thermodynamic properties. By solving the gap equation and the number equation self-consistently, we numerically calculate the effective-range dependence of the pairing gap, chemical potential, and pair size throughout the BCS-BEC crossover. Our results would be useful for further understanding of low-dimensional many-body problems. |
| title | Finite-range effect in the two-dimensional density-induced BCS-BEC crossover |
| topic | Quantum Gases Superconductivity |
| url | https://arxiv.org/abs/2306.02127 |