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arXiv · 0802.0328

Effects of phonon interaction on the pairing in the high-T$c$ superconductors

Yunkyu Bang
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Abstract

We study the effects of phonon interaction on the superconducting pairing in the background of a d-wave gap, mediated by antiferromagnetic (AFM) spin fluctuations, using coupled BCS gap equations. We found that phonon interaction can induce a s-wave component to the d-wave gap in the (D+S) form with an interaction anisotropy and in the (D+$i$S) form without anisotropy, respectively. In either case, however, T$_c$ is not enhanced compared to the pure d-wave pairing without phonon interaction. On the other hand, anisotropic phonon interaction can dramatically enhance the d-wave pairing itself and therefore T$_c$, together with the AFM spin fluctuation interaction. This (D$_{AFM}$ + D$_{ph}$) type pairing exhibits strongly reduced isotope coefficient despite the large enhancement of T$_c$ by phonon interaction. Finally, we study the combined type of (D$_{AFM}$ + D$_{ph}$ +$i$S)) gap and calculate the penetration depth and specific heat to be compared with the experiments.

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Yunkyu Bang. 2008-02-04. Effects of phonon interaction on the pairing in the high-T$c$ superconductors. https://doi.org/10.1103/physrevb.78.075116

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