Common behavior of the scaled condensation energy for both high-$T_c$ and conventional superconductors
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915224127275008 |
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| author | Shaginyan, V. R. Msezane, A. Z. Artamonov, S. A. |
| author_facet | Shaginyan, V. R. Msezane, A. Z. Artamonov, S. A. |
| contents | We analyze the scaling of the condensation energy $E_Δ$ divided by $γ$, $E_Δ/γ\simeq N(0)Δ_1^2/γ$, of both conventional superconductors and unconventional high-$T_c$ one, where $N(0)$ is the density of states, $Δ_1$ is the maximum value of the superconducting gap and $γ$ is the Sommerfeld coefficient. For the first time, we show that the universal scaling of $E_Δ/γ\propto T_c^2$ applies equally to conventional superconductors and unconventional high-$T_c$ ones. Our consideration is based on both facts: Bogoliubov quasiparticles act in conventional and unconventional superconductors, and the corresponding flat band is deformed by the unconventional superconducting state. As a result, our theoretical observations based on the fermion condensation theory are in good agreement with experimental facts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02532 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Common behavior of the scaled condensation energy for both high-$T_c$ and conventional superconductors Shaginyan, V. R. Msezane, A. Z. Artamonov, S. A. Superconductivity We analyze the scaling of the condensation energy $E_Δ$ divided by $γ$, $E_Δ/γ\simeq N(0)Δ_1^2/γ$, of both conventional superconductors and unconventional high-$T_c$ one, where $N(0)$ is the density of states, $Δ_1$ is the maximum value of the superconducting gap and $γ$ is the Sommerfeld coefficient. For the first time, we show that the universal scaling of $E_Δ/γ\propto T_c^2$ applies equally to conventional superconductors and unconventional high-$T_c$ ones. Our consideration is based on both facts: Bogoliubov quasiparticles act in conventional and unconventional superconductors, and the corresponding flat band is deformed by the unconventional superconducting state. As a result, our theoretical observations based on the fermion condensation theory are in good agreement with experimental facts. |
| title | Common behavior of the scaled condensation energy for both high-$T_c$ and conventional superconductors |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2402.02532 |