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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | https://arxiv.org/abs/2504.09880 |
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| _version_ | 1866913792007340032 |
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| author | Lee, Chung-Ru |
| author_facet | Lee, Chung-Ru |
| contents | We propose a statistical mechanical framework to unify the observed relationship between the superconducting energy gap $Δ$, the pseudogap $Δ^\ast$, and the critical temperature $T_\mathrm{c}$. In this model, fermions couple as a composite boson and condense to occupy a single bound state as the temperature drops. We derive a concise formula for $T_\mathrm{c}$ in terms of $Δ$ and $Δ^\ast$, namely: $$\fracΔ{k_\mathrm{B} T_\mathrm{c}} = 1.4+4\log(Δ^\ast/Δ).$$ This expression reproduces the standard BCS gap-to-$T_\mathrm{c}$ ratio in the absence of a pseudogap, while naturally explaining its enhancement in unconventional superconductors. The model is supported by comparisons with experimental data from several cuprates and iron-based superconductors, which highlight its generality. This formulation also offers a theoretical explanation for the observed persistence of the pseudogap phase into the overdoped regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Universal Gap-to-Critical Temperature Ratio in Superconductors: a Statistical Mechanical Perspective Lee, Chung-Ru Superconductivity We propose a statistical mechanical framework to unify the observed relationship between the superconducting energy gap $Δ$, the pseudogap $Δ^\ast$, and the critical temperature $T_\mathrm{c}$. In this model, fermions couple as a composite boson and condense to occupy a single bound state as the temperature drops. We derive a concise formula for $T_\mathrm{c}$ in terms of $Δ$ and $Δ^\ast$, namely: $$\fracΔ{k_\mathrm{B} T_\mathrm{c}} = 1.4+4\log(Δ^\ast/Δ).$$ This expression reproduces the standard BCS gap-to-$T_\mathrm{c}$ ratio in the absence of a pseudogap, while naturally explaining its enhancement in unconventional superconductors. The model is supported by comparisons with experimental data from several cuprates and iron-based superconductors, which highlight its generality. This formulation also offers a theoretical explanation for the observed persistence of the pseudogap phase into the overdoped regime. |
| title | The Universal Gap-to-Critical Temperature Ratio in Superconductors: a Statistical Mechanical Perspective |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2504.09880 |