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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2021, Volume 113, Issue 9, Pages 600–604
DOI: https://doi.org/10.31857/S1234567821090068
(Mi jetpl6419)
 

This article is cited in 1 scientific paper (total in 1 paper)

CONDENSED MATTER

Superconducting transition temperature for very strong coupling in the antiadiabatic limit of Eliashberg equations

M. V. Sadovskii

Institute for Electrophysics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, 620016 Russia
Full-text PDF (207 kB) Citations (1)
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Abstract: It is shown that the famous Allen–Dynes asymptotic limit for the superconducting transition temperature in the very strong coupling region $T_{c}>\frac{1}{2\pi}\sqrt{\lambda}\Omega_0$ (where $\lambda\gg 1$ is the Eliashberg–McMillan electron–phonon coupling constant and ${{\Omega }_{0}}$ is the characteristic frequency of phonons) in the antiadiabatic limit of Eliashberg equations $\Omega_0/D\gg 1$($D \sim {{E}_{{\text{F}}}}$ is the half-width of the conduction band and $E_{\text{F}}$ is the Fermi energy) is replaced by $T_c>(2\pi^4)^{-1/3}(\lambda D\Omega_0^2)^{1/3}$, with the upper limit $T_c<\frac{2}{\pi^2}\lambda D$.
Funding agency Grant number
Russian Foundation for Basic Research 20-02-00011
This work is supported in part by the Russian Foundation for Basic Research, project no. 20-02-00011.
Received: 31.03.2021
Revised: 31.03.2021
Accepted: 31.03.2021
English version:
Journal of Experimental and Theoretical Physics Letters, 2021, Volume 113, Issue 9, Pages 581–585
DOI: https://doi.org/10.1134/S0021364021090034
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. V. Sadovskii, “Superconducting transition temperature for very strong coupling in the antiadiabatic limit of Eliashberg equations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 113:9 (2021), 600–604; JETP Letters, 113:9 (2021), 581–585
Citation in format AMSBIB
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