A NEW METHOD FOR CALCULATING THE FUNCTIONAL DERIVATIVE δT<sub>c</sub>/δα<sup>2</sup>F(Ω): APPLICATION TO MgB<sub>2</sub>
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Bibliographic record
Abstract
We present a new method for calculating the functional derivative of the superconducting transition temperature T c with respect to the electron–phonon coupling function α 2 F(Ω). The method relies on a highly efficient procedure for finding the largest eigenvalue and the corresponding eigenvector of a Hermitian matrix. The convergence problems that arise in the calculation of δT c /δα 2 F(Ω) for systems with low T c and a large maximum phonon frequency Ω max using the method based on the pair-breaking parameter are eliminated. We apply the new method of calculating δT c /δα 2 F(Ω) to MgB 2 , to the prototype strong coupling superconductor Pb and to weak coupling (BCS) superconductor Al.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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