Diagram of the Critical Temperature—Nernst Temperature for the Superconductivity Induced by Modified Electron-Phonon Interaction

We have taken into consideration the Eliashberg equations based on the electron-phonon and the electron-electron-phonon interaction. It has been shown that the Eliashberg equations set generalizes the model based on the canonical transformation, which for the cuprates quantitatively associates with...

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Bibliographic Details
Published in:Journal of superconductivity and novel magnetism 2018-01, Vol.31 (1), p.19-28
Main Authors: Szczȩśniak, R., Durajski, A. P., Duda, A. M., Tarasewicz, P.
Format: Article
Language:English
Subjects:
CANONICAL TRANSFORMATIONS
Characterization and Evaluation of Materials
Condensed Matter Physics
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL TEMPERATURE
CUPRATES
ELECTRON-PHONON COUPLING
ENERGY GAP
GORKOV-ELIASHBERG THEORY
Magnetic Materials
Magnetism
Original Paper
Physics
Physics and Astronomy
Strongly Correlated Systems
SUPERCONDUCTIVITY
THERMODYNAMICS
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Summary:We have taken into consideration the Eliashberg equations based on the electron-phonon and the electron-electron-phonon interaction. It has been shown that the Eliashberg equations set generalizes the model based on the canonical transformation, which for the cuprates quantitatively associates with each other the critical temperature ( T C ), the Nernst temperature ( T ⋆⋆ ), and the energy gap at 0 K. Next, we have derived the analytical formulas for the basic thermodynamic parameters. The conducted analysis allowed to designate the T C - T ⋆⋆ diagram. Finally, we found the limitation from below for the value of T ⋆⋆ , occurring for the critical temperature higher than 150 K.
ISSN:1557-1939
1557-1947
DOI:10.1007/s10948-017-4171-9