Screening in (d+s)-wave superconductors: Application to Raman scattering

Details Screening in (d+s)-wave superconductors: Application to Raman scattering Screening in (d+s)-wave superconductors: Application to Raman scattering

2006-07-17

arxiv.org/abs/cond-mat/0607421v4

Phys.Rev. B 75, 174525, 2007

Physics

Condensed Matter

Superconductivity

typos corrected, 6 pages, 3 figures

Scientific paper

10.1103/PhysRevB.75.174525

We study the polarization-dependent electronic Raman response of untwinned YBa$_2$Cu$_3$O$_{7-\delta}$ superconductors employing a tight-binding band structure with anisotropic hopping matrix parameters and a superconducting gap with a mixing of $d$- and s-wave symmetry. Using general arguments we find screening terms in the $B^{\}_{1g}$ scattering channel which are required by gauge invariance. As a result, we obtain a small but measurable softening of the pair-breaking peak, whose position has been attributed for a long time to twice the superconducting gap maximum. Furthermore, we predict superconductivity-induced changes in the phonon line shapes that could provide a way to detect the isotropic s-wave admixture to the superconducting gap.

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