Physics – Condensed Matter – Superconductivity
Scientific paper
2005-06-15
Phys. Rev. Lett. 95, 257003 (2005)
Physics
Condensed Matter
Superconductivity
5 pages, 2 figures
Scientific paper
We reconsider the long-standing problem of the effect of spin fluctuations on the critical temperature and isotope effect in a phonon-mediated superconductor. Although the general physics of the interplay between phonons and paramagnons had been rather well understood, the existing approximate formulas fail to describe the correct behavior of $% T_{c}$ for general phonon and paramagnon spectra. Using a controllable approximation, we derive an analytical formula for $T_{c}$ which agrees well with exact numerical solutions of the Eliashberg equations for a broad range of parameters. Based on both numerical and analytical results, we predict a strong enhancement of the isotope effect when the frequencies of spin fluctuation and phonons are of the same order. This effect may have important consequences for near-magnetic superconductors such as MgCNi$_{3}$
Dolgov Oleg V.
Golubov Alexander A.
Maksimov E. G.
Mazin Igor I.
Savrasov Sergej Y.
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