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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/2504.17435 |
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| _version_ | 1866916705856389120 |
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| author | Natkunlaphat, Nattawut Tasee, Pakin Pinsook, Udomsilp |
| author_facet | Natkunlaphat, Nattawut Tasee, Pakin Pinsook, Udomsilp |
| contents | We analytically demonstrate the essential role of the logarithmic average phonon frequency in describing the superconducting critical temperature, directly from a predictive function. The current study assumes that the Eliashberg spectral function follows the Debye model in the low frequency spectrum, whereas contributions from optical phonons dominate outside this range. Our findings confirm that, under a specific condition, we obtained a formula for superconducting transition temperature. Furthermore, we compared our formula with the Allen-Dynes formula and its modified version, and the exact solutions. They reveal notable correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_17435 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergence of the logarithmic average phonon frequency in the superconducting critical temperature formula Natkunlaphat, Nattawut Tasee, Pakin Pinsook, Udomsilp Superconductivity We analytically demonstrate the essential role of the logarithmic average phonon frequency in describing the superconducting critical temperature, directly from a predictive function. The current study assumes that the Eliashberg spectral function follows the Debye model in the low frequency spectrum, whereas contributions from optical phonons dominate outside this range. Our findings confirm that, under a specific condition, we obtained a formula for superconducting transition temperature. Furthermore, we compared our formula with the Allen-Dynes formula and its modified version, and the exact solutions. They reveal notable correlations. |
| title | Emergence of the logarithmic average phonon frequency in the superconducting critical temperature formula |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2504.17435 |