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 SM ISO690:2012PALISTRANT, Maria. Superconducting transition temperature and isotope exponent in superconductors with low Fermi energies. In: Low Temperature Physics, 2011, vol. 37, pp. 407-413. ISSN 1063-777X. DOI: https://doi.org/10.1063/1.593916 |
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  Low Temperature Physics |
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| Volumul 37 / 2011 / ISSN 1063-777X | ||||||
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| DOI:https://doi.org/10.1063/1.593916 | ||||||
| Pag. 407-413 | ||||||
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A study is made of superconductivity in systems with a variable density of charge carriers, strong electronic correlations (which influence the electron-phonon interaction), and low Fermi energies. This last circumstance leads to violation of the Migdal theorem and makes it necessary to take into account the vertex and crossed diagrams for the electron-phonon interaction (Pv,Pc). Two- and three-dimensional systems are considered. The values of Pv and Pc are found, and the equation for the momentum cutoff Qc of the electron-phonon interaction is derived. The dependence of this quantity on the concentration of charge carriers is demonstrated. Expressions are obtained for the superconducting transition temperature Tc and the isotope exponent α, and their behavior as functions of the carrier concentration is analyzed. The values of the carrier densities for which superconductivity can occur in two- and three-dimensional systems are determined. |
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| Cuvinte-cheie Carrier concentration, Electron-phonon interactions, Fermi level, isotopes, Superconducting materials |
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