Superfluid weight cross-over and critical temperature enhancement in singular flat bands
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909991743520768 |
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| author | Jiang, Guodong Törmä, Päivi Barlas, Yafis |
| author_facet | Jiang, Guodong Törmä, Päivi Barlas, Yafis |
| contents | Non-analytic Bloch eigenstates at isolated band degeneracy points exhibit singular behavior in the quantum metric. Here, a description of superfluid weight for zero-energy flat bands in proximity to other high-energy bands is presented, where they together form a singular band gap system. When the singular band gap closes, the geometric and conventional contributions to the superfluid weight as a function of the superconducting gap exhibit different crossover behaviors. The scaling behavior of superfluid weight with the band gap is studied in detail, and the effect on the Berezinskii-KosterlitzThouless (BKT) transition temperature is explored. It is discovered that tuning the singular band gap provides a unique mechanism for enhancing the supercurrent and critical temperature of two-dimensional (2D) superconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14919 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superfluid weight cross-over and critical temperature enhancement in singular flat bands Jiang, Guodong Törmä, Päivi Barlas, Yafis Superconductivity Non-analytic Bloch eigenstates at isolated band degeneracy points exhibit singular behavior in the quantum metric. Here, a description of superfluid weight for zero-energy flat bands in proximity to other high-energy bands is presented, where they together form a singular band gap system. When the singular band gap closes, the geometric and conventional contributions to the superfluid weight as a function of the superconducting gap exhibit different crossover behaviors. The scaling behavior of superfluid weight with the band gap is studied in detail, and the effect on the Berezinskii-KosterlitzThouless (BKT) transition temperature is explored. It is discovered that tuning the singular band gap provides a unique mechanism for enhancing the supercurrent and critical temperature of two-dimensional (2D) superconductors. |
| title | Superfluid weight cross-over and critical temperature enhancement in singular flat bands |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2407.14919 |