On the relative positions of the $2Δ$ peaks in Raman and tunneling spectra of d-wave superconductors

Details On the relative positions of the $2Δ$ peaks in Raman and tunneling spectra of d-wave superconductors On the relative positions of the $2Δ$ peaks in Raman and tunneling spectra of d-wave superconductors

1999-10-07

arxiv.org/abs/cond-mat/9910090v1

PHYS. REV. B, v61, pR6467 (2000)

Physics

Condensed Matter

Superconductivity

5 pages, 2 figures

Scientific paper

10.1103/PhysRevB.61.R6467

We study $B_{1g}$ Raman intensity $R(\Omega)$ and the density of states $N(\omega)$ in isotropic 2D d-wave superconductors. For an ideal gas, $R(\Omega)$ and $N(\omega)$ have sharp peaks at $\Omega =2\Delta$ and $\omega =\Delta$, respectively, where $\Delta$ is the maximum value of the gap. We study how the peak positions are affected by the fermionic damping due to impurity scattering. We show that while the damping generally shifts the peak positions to larger frequencies, the peak in $R(\Omega)$ still occurs at almost twice the peak position in $N(\omega)$ and therefore cannot account for the experimentally observed downturn shift of the peak frequency in $R(\Omega)$ in underdoped cuprates compared to twice that in $N(\omega)$. We also discuss how the fermionic damping affects the dynamical spin susceptibility.

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