Symmetry dependence of phonon lineshapes in superconductors with anisotropic gaps

Details Symmetry dependence of phonon lineshapes in superconductors with anisotropic gaps Symmetry dependence of phonon lineshapes in superconductors with anisotropic gaps

1994-06-15

arxiv.org/abs/cond-mat/9406061v1

Physics

Condensed Matter

15 pages (3 Figures available upon request), Revtex, 17

Scientific paper

10.1103/PhysRevB.50.10287

The temperature dependence below $T_{c}$ of the lineshape of optical phonons of different symmetry as seen in Raman scattering is investigated for superconductors with anisotropic energy gaps. It is shown that the symmetry of the electron-phonon vertex produces non-trivial couplings to an anisotropic energy gap which leads to unique changes in the phonon lineshape for phonons of different symmetry. The phonon lineshape is calculated in detail for $B_{1g}$ and $A_{1g}$ phonons in a superconductor with $d_{x^{2}-y^{2}}$ pairing symmetry. The role of satellite peaks generated by the electron-phonon coupling are also addressed. The theory accounts for the substantial phonon narrowing of the $B_{1g}$ phonon, while narrowing of the $A_{1g}$ phonon which is indistinguishable from the normal state is shown, in agreement with recent measurements on BSCCO.

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