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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.11079 |
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| _version_ | 1866914059873419264 |
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| author | Dong, Zhiyu Lee, Patrick A. |
| author_facet | Dong, Zhiyu Lee, Patrick A. |
| contents | Can strong repulsive interactions be shown to give rise to pairing in a controlled way? We find that for a single flavor polarized band, there is a small expansion parameter in the low density limit, once the Bloch wavefunction form factor is taken into account. A perturbative expansion is possible, even if the interaction is much stronger than the Fermi energy $ε_F$. As a matter of principle, our work shows analytically how strong pairing can emerge from strong repulsion. We illustrate our method with two examples: a 2D Dirac model and a 1D tight binding model with two orbitals. In the latter case, using density matrix renormalization group, we show that the analytical theory indeed guided us to discover the parameter regime where p-wave pairing with order-1 strength is dominant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11079 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A controlled expansion for pairing in a polarized band with strong repulsion Dong, Zhiyu Lee, Patrick A. Superconductivity Strongly Correlated Electrons Can strong repulsive interactions be shown to give rise to pairing in a controlled way? We find that for a single flavor polarized band, there is a small expansion parameter in the low density limit, once the Bloch wavefunction form factor is taken into account. A perturbative expansion is possible, even if the interaction is much stronger than the Fermi energy $ε_F$. As a matter of principle, our work shows analytically how strong pairing can emerge from strong repulsion. We illustrate our method with two examples: a 2D Dirac model and a 1D tight binding model with two orbitals. In the latter case, using density matrix renormalization group, we show that the analytical theory indeed guided us to discover the parameter regime where p-wave pairing with order-1 strength is dominant. |
| title | A controlled expansion for pairing in a polarized band with strong repulsion |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.11079 |